This blog is about the Cycle of Nine implemented in the Digital Root or Modulus 9-Function. The Digital Root generates many Patterns that were used in Ancient Architectures.

One of the most important Digital Root Patterns is the Vedic Square. It is the Digital Root of the Multiplication Table of the numbers 1 to 9.

This Table contains the Harmonics of the Numbers 1 to 9. These Harmonics are highly related to the Harmonic Pattern behind the Cycles in our Universe.

The first part of this Blog is about the Digital Root. It contains the patterns that are behind the Cycle of Nine.

This part is very technical but it makes it possible to show that there is a deep structure  behind the Modulus-9.

This pattern has to do with just two numbers, 2 and 3. They generate the Spirals of Expansion and Compression of our Universe.

2 and 3 and their Sum 5  are also the Numbers behind the Harmonics of our Universe.

The Second Part is about the Vedic Square. It is called the Vedic Square because this Square is one of the most important tools in Ancient Vedic Mathematics.

Vedic Mathematics was used in many Ancient Cultures (China, Egypt, Greece) with different names. The Chinese art of Feng Shui was called Vaastu Shastra in India.

Pythagoras, trained in Egypt (Heliopolis),  used the same principles and used the same  Patterns the Ancient Vedic Scientists were using.

The last part is about the Game of Chess. This game is  just like many other Ancient Games a Simulator of the Game of the Universe.

This blog contains many links to other Blogs and Resources on the Internet. These references make it possible to dig deeper into this fascinating subject.

When  you divide a number X by a number N the Remainder of the division is called X Modulus N.  22 mod 7 = 1 because 22 = 3×7 + 1.

The Modulus-function N maps the Set of the Natural Numbers to the Numbers 0, 1, 2, ….,N-1.

One of the most famous and ancient Modulus-functions is called the Digital Root. The Digital Root is the Modulus 9 function.

Because 10 mod 9 = 1 every Power of 10 has a Modulus 9 of 1. Therefore (a10**X+ b10**Y+…) mod 9 = a + b, the Sum of the Digits of the Number. 62 mod 9 = 6+2 = 8.

Digital Roots have been recorded for thousands of years, formalized by Pythagoras in 530BC and even earlier in Indian Vedic Mathematics (Vaastu Shastra).

Digital Roots are used in Numerology. In Numerology Numbers have a Meaning.

In Gematria Letters and Words are transformed into Numbers which have a meaning.

In Ancient Languages like Hebrew Letters are also Numbers. Numerologists believe that Words with the same Digital Root have the same Meaning.

The numbers 0 to 9 of the Digital Root are the Points of the Tetraktys of Pythagoras.

The Modulus 9 pattern contains 2 number groups (3,6, 9) and (1,2,4, 5,7,8).

Later we will see that the last group contains 2 subgroups (1,4,7) and (2,5,8).  Together with (3,6,9) we can map these 3 Triangels on the Modulus 9 Circle.

4 is the Middle of 1+7=8, 5 is the Middle of  2+8=10 =1 and 6 is the Middle of 3+9=12=3. 5 is also the Middle of the Middle.

The group (1,2,4,5,7,8 ) is called the Ring Z/9 in Mathematics. Z/9 is isomorphic with the Sequence 2**N mod 9 where N is positive and negative. The sequence 1,2,4,8,16(7),32(5),64(1),128 (2),256 (4),… repeats itself until infinity.

This Sequence is the Expansion and Compression Pattern of the Number 2.

The Ring Z/9 is part of the Tetraktys and forms a Hexagram. This Hexagram is a 2D-projection of the Cube of Space. When we combine the (3,6,9)-pattern with the Hexagon a (4×4) Triangle is created.

The number 2 is the Container, the Cube, inside the Tetraktys. That is the Reason why the Second letter in the Hebrew Alphabet Beth means Vessel or Container.

(3,6,9) is a Triangular Cycle that repeats itself until Infinity.  The Number 3, the Trinity, is the Mover of the Container of 2. This Rotation moves With and Against the Clock.

This is the reason why the 3th Letter of the Hebrew Alphabet, Gimel, means Camel. The Camel of Gimel carries the Water into the  2 Containers of Beth.

The Number-2-pattern contains 3 Binary Groups (called Polar Pairs) with a Sum of Nine (1,8), (2,7), (4,5). The Number-3-Pattern contains 2 Polar Pairs (3,6) and (0,9). The Polar Pairs represent the Lines of the Tetraktys.

(0,9) maps unto Itself and represents The Beginning and The End, The Now. (0,9) is a Point and a Line.

The Polar Pairs of the Z/9 create a Cyclic Pattern that contains two Squares, (1,2,4,0) and (5,7,8,0). Both of them Share the Zero, The Void.

The Sum of the Opposite Numbers of the Z/9, (4,8 = 12=3), (1,5 =6 ), (2,7=9) of the Tetraktys shows the 3,6,9-pattern again.

There are 8 Ternary Groups ((1,5,9), (1,6,8), (2,6,7), (2,5,8),(2,4,9),(3,4,8),(3,5,7),(4,5,6)) with a Sum of 15. This Ternary Group represents Triangels. All of them are part of the famous Lo Shu 3×3 Magic Square.

When we use the number 3 as a generator 3 Triangles are created (1,4,7), (2,5,8) and (3,6,9).

The 3 Triangles move With and Against the Clock ((1,4,7) and (7,4,1)).

It takes 3 rotations to get every Triangle back to its original position. (1,4,7) becomes (7,1,4) and (4,7,1). This means that there are 6 permutations of every Triangle.

Every addition of two Triangels produces another Triangle.   An Example:  (1,4,7) + (2,5,8) = (3,9,6).

When we create a Matrix to find all the combinations a new group of 9 transformations ((1,1,1),(2,2,2),(3,3,3),(4,4,4),(5,5,5),(6,6,6),(7,7,7),(8,8,8),(9,9,9)) appears. They are the Triangels that are a Line and a Point. An Example:  (1,4,7) + (1,1,1)=(2,5,8).

There are now (18 +9=27) x27 = 729=3**6 = 9**3 possibilities.

The same 27×27 Matrix appears when we Multiply the 3 Triangels. An Example:  (5,8,2)x(5,8,2)= (25,64,4)= (7,1,4) and (3,6,9)x(5,8,2)=(15,48,18)= (6,3,9).

Another interesting patterns  becomes visible when we look at the Opposite Numbers of 3 Triangels (1,5), (2,6), (3,7),(4,9) en (5,9) in the Picture above.  They recreate the Triangels. An Example: (5+9=5, 2+6=8 ,8+3=11=2).

About the Digital Root of the Golden Mean

The 27×27 Matrix pattern also emerges out of 24 repeating numbers (1 1 2 3 5 8 4 3 7 1 8 9 8 8 7 6 4 1 5 6 2 8 1 9) of the Digital Root of the Fibonacci Sequence (The Golden Ratio).

this solution gives the densest
lattice packing of spheres in 24 dimensio

When we group the Golden Ratio pattern in 2’s (2×12) the Polar Pairs appear. The 12 pattern has  a Sum of 108 = 0 Modulus 9. 108 and 24 are related to the Gayatri Mantra.

1 1 2 3 5 8 4 3 7 1 8 9

8 8 7 6 4 1 5 6 2 8 1 9

When we  group the pattern of 24 numbers (3×8) of the Golden Ration into Trinities the Triangle Pattern appears again.

1   2  3  4                  -3 -2 -1 -4 (Pattern-number)

1   1  2  3  (7)           5   8   4   3   (2)

7   1  8  9  (7)          8   8   7   6   (2)

4   1  5  6  (7)          2   8   1    9   (2)

The Pattern of the Pattern is (1,2,3,4,-3,-2,-1,-4). The last part of the Pattern (-3,-2,-1,-4) can be transformed into the first part (1,2,3,4) by adding 4.

The Digital Sum of the first 3×4 numbers is 7 and the Digital Sum of the last 3×4 numbers is 2.

When we rearange the 24 cycle in 6 groups of 4 digits another pattern shows itself: (1,4,8,5), (1,3,8,6), (2,7,2,7),(3,1,6,8), (5,8,4,1), (8,9,1,9).

When we combine all the different rotations of the 3 Triangels a Cyclic Flow Pattern appears that looks like the Jitterbug of  Buckminster Fuller.

The Jitterbug is a 3D projection of the 4D 24-Cell (again 24!) also called the Hyperdiamond.

The 24-cell is self-dual and is the regular polytope with no analogue among the five Platonic solids of 3-space.

One of the Simple Structures of Numbers that contains a lot of patterns is the Vedic Square. The Vedic Square was called the Eight Mansions in China. The Vedic Square is the Digital Root of the Multiplication Table of the numbers 1 to 9.

The Multiplication Table is a subset of the 27×27 Matrix of the 3 Triangels.

The Multiplication Table contains the Harmonics of the Numbers 1 to 9.The Vedic Square was used to build the Pyramids, create the Chinese I Ching, the Game of Chess, Dante Alighieri used it to structure his trilogy La Divina Commedia, the Sistine Chapel was build and the frescoes and symbols were arranged according to its concepts and the first chapter of Genesis was written and imbued with its numerous concepts graphic images.

Scholars and Artists discovered that the various lines of the Vedic Square could be used to direct a design. By selecting a line of numbers, and using a constant angle of rotation, various designs could be produced. These designs are visible in abstract Islamic Art.

The Vedic Square is a Symmetrical Structure because AxB=BxA. This is called the Associative Property of Multiplication.  The Square is a combination of Two Triangels and contains 45 distinctive numbers.

The Vedic Square repeats itself until infinity when you extend the Square to a NxN Square.

The number pattern of the diagonal of the Vedic Square, 1,4,9,7,7,9,4,1,9,  is the Digital Root Pattern of the Square Roots. This patterns repeats itself until Infinity.

The Vedic Square contains the 5 Polar Pairs, the 8 Lo Shu Ternary Groups and the 3 Trinity Patterns ((1,4,7), (2,5,8), (3,6,9). It also contains the Star of David, The Zodiac, the Tree of Life and many other Mystic Patterns.

It is possible to transform the Vedic Square to the Lo Shu Magic Square.

The patterns of the Vedic Square Rotate. The End of a Horizontal and a Vertical Pattern connects with the Beginning of the Pattern. This means that the Vedic Square is a Torus.

This Torus is called the Rodin Torus. The Rodin Torus is a Coil that produces a Uniform Electro-Magnetic Field.

The 3-6-9 and 6-3-9 Cycle in the Vedic Square can be thought of as Clockwise and Counter-Clockwise, or as Electricity and Magnetism. They are transport-channels.

The ((3,6,9),(6,3,9)-Matrix divides the Vedic Square in 9 2×2 Squares.

The 9 2×2 Squares have a Sum of 9,18 and 27 which is 1×9,2×9 and 3×9. If we leave out the (3,6,9)-Matrix and divide by 9,  a 3×3 matrix results with 1,2,3 on the Outside  and a Cross of 2’s in the middle. This 3×3 matrix shows the Expansion of the 2 into the (1,2,3).

The Rows and Colums of Ring Z/9 add up to 45. The Rows and Colums of the Number 3-Pattern add up to 54 which is a Mirror of 45. The (4,5)-pattern generates the Star of David and the Zodiac.

The Game of Chess originated in India. It was passed on to the medieval West through the intermediary of the Persians and the Arabs.

The form of the Chess-Board corresponds to the Vastu-Mandala, the 9×9  diagram which also constitutes the basic lay-out of a temple or a city.

Hindu mythology has it that Vaastu Purusha was born of Lord Shiva’s sweat when he fought the deadly demon Andhakasura.

Vaastu Purusha himself became uncontrollable and destructive and the heavenly gods finally subjugated him and brought him down on earth with face down, with his face in the Northeast and his feet in the Southwest.

45 deities stayed there, 32 of them in the outer enclosure and 13 of them in the inner enclosure holding him in place at various points or locations on his body.

32 =64/2 and the Number of the 32 Paths of Wisdom of the oldest book of Hebrew Mysticms the Sepher Yesirah (the Book of Formation or Book of Creation, ספר יצירה).

64 is the Number of the I Tjing. 45 (5×9) is the Sum of the Lo Shu Magic Square and the Number of the Vedic Square.

All these Mystic Structures come from the same Source and are different Views on the same Pattern, the Tetraktys, the Triangular Numbers created by the Meru Prastara or Sri Yantra also known as the Pascal Triangle.

The Vastu Mandala is an expansion of  a Point (the Bindu) into the Line(2), The Trinity (3) and the Rotating (With the Clock and Against the Clock) and Expanding Square (4), represented by the Symbol of the Swastika. The Swastika is a Fractal Generating Pattern.

Every Point is a generator from which the Swastika-pattern generates a new Swastika. The 2×2 Square is transformed by the Swastika Pattern into the 4×4 and the 8×8 Square.

As you can see the Vastu Jain Symbol is an Indian Version of the Tetraktys of Pythagoras.

The Swastika contains the Four Points of the last line of the Tetraktys that are related to the Tethahedron.

The Chess-Board symbolizes the Unfolding of Space by the Number-2-pattern and it synthesizes the Complementary Cycles of Sun and Moon.

The number 64, the sum of the Black & White (Yin/Yang) Squares on the Chess-board, is a divisor of the number 25920 (25920/64=405, 25920/9= 2880/9=320/5=72), which measures the Precession of the Equinoxes.

The Polar Pairs in the Modulo 9 Pattern are expressions of the Planets.

(1,8), the Castles, relates to the Planet Mars.

(2,7), the Bishops, relates to the Planet Venus. Venus is the Ruler of the Heart and the (2,7) is situated in the Middle of the Vedic Square.

When viewed from the Earth, the Planet Venus inscribes a near perfect five-pointed star (pentagram) around the sun every eight years. The points of a five-pointed star (pentagram) touch the circle of a pentacle every 72 degrees.  Likewise, many in Islam expect 72 virgins in heaven.

A full 360 degrees of procession takes 25,920 years, which is also seventy-two (72) 360-year cycles.

(3,6), the Knights relates to the Planet of the Messenger, Mercury. Mercury is Hermes, the Messenger God, with winged sandals. The moves of the Knights create a pattern that looks like the Swastika.

The (3,6)-number-lines are Transport-Channels (Gimel) as you can see in the Vedic Square and the Rodin Torus. The planet Mercury traces a Hexagram during its movement around the Zodiac.

(0,9) is the Planet Jupiter,  the Ruler of Modulus 9 who determinates the Rules of the Game. (0,9) is the Beginning and the End of the Game and is the cause of the Rotation of the Swastika related to the (3,6.9)-pattern.

The numbers 4 and 5 are the Moon (Queen) and the Sun (King). The Moon moves the quickest of all the planets, so does the Queen on the chessboard.

The Number 5 of the King is the Center of the 3×3 Lo Shu Magic Square and the Center of the Tetraktys.

The 8 Pawns represent  the number 2 and are connected to the Planet Saturn, the 2nd Son of the Central Sun and the Trinity (1+ 2 = 3). The Pawns start to move with 2 steps and later move 1 step. The 2 is the Center (The Son of the Sun) of the Trinity.

The 2 is also the Generator of the Expansion Pattern and the Polar Companion of the 7, the Center of the 3D-version of the Square, the Cube of Space.

The Pawn (2, Saturn) promotes into a Queen (Moon, 2×2) when he has reached the Other Side.

About the Multiplication Table of 9

About the Tetraktys and the Lo Shu

About the Harmonics of the Universe

About the Jitterbug of Buckminster Fuller

A Simulation of the Jitterbug Pattern (CUBIC WONDER)

About Plato and the Sri Yantra

About Vastu Science and the Borobudur

About Mystical Number Theory and Pascal’s Triangle

The first part of this Blog is about the Triangular numbers, related to the Number 3, the Holy Trinity.

The second part shows that Pascal’s Triangle (called Meru’s Mountain in Mystics), the Binomial Expansion,  contains every Possible Mystical Number Pattern (including the Triangular Numbers) you can Imagine.

Pascal Triangle also shows that our Universe is a combinatorial miracle. It explores every possibility, is always in balance, expands and moves back to the beginning which is and was the Void, the Empty Set, the merge of Every Paradox, that is Possible.

The Sēpher Yəṣîrâh (Book of Formation or Book of Creation, ספר יצירה) is the oldest book on Jewish Mysticism. The Sefer Yetzirah describes how the universe was created by the “God of Israel” through 32 Wondrous Ways of Wisdom.

The Number 32 is the Sum of the 10 Sephirot and the 22 Letters of the Hebrew Alphabet.

The Sephirot is related to the  Tetraktys of Pythagoras. The Tetraktys embodies the Four main Greek Cyclical (PlatonicMusical Harmonies: the Fourth (4:3), the Ffth (3:2), the Octave (2:1) and the Double Octave (1:4).

1+2+3+4 = 10. 10 is the 4th Triangular Number. The Nth triangular number is the Sum of the numbers 1 -> N. This Sum is equal to 1/2N(N+1).

Between the 10 Sephirot run 22 Channels or Paths which connect them.

The Sephirot are the Points of the Tetraktys. The Hebrew Letters are the Lines between the Points. The Lines of the  Sephirot and the Tetraktys create a Cube (6) at the Top and a Tetrahedron (4) at the Bottom.

The Letters of the Hebrew  Alphabet are divided in the 3 Mother Letters (אמש, the Trinity), the Seven Doubles (The Planets) and the Twelve Simples (the Zodiac).

When you analyse the Sepher Yeshirah the Cube of Space (the Kaaba) appears out of the Hebrew Alphabet. The Kaaba is related to the Seventh Planet, Saturn.

The 3 Axis of the Cube of Space are the Trinity, the 6 (2×3) Faces of the Cube stand for the Planets with the 7th Saturn, the Son of the Central Sun (3+1 (Center)+3) in the Center and the 12 (4×3) Boundary Lines of the Cube represent the 12 Signs of the Zodiac.

As you can see the Number Three, the Triangle,  plays an important role. It is the First Structure that is Closed in Itself and is therefore Topological related to the Circle. The Circle (and the Triangle) is able to rotate With and Against the Clock. This property is called Spin in Physics.

It is very important to realize that Everything Rotates in our Universe around a Central Object that rotates around another Central Object. The Central Object Gives Time, determinates the Rythm or Harmonics,  of the Rotation Structure.

The Trinity rotates around the Void. The 7 Chakra’s of the Human rotate around the 4th Chakra, the Heart Chakra, ((3+(1)+3)=7).

The Planets rotate around the Sun and the Sun rotates around the Central Black Hole. The arrow of Sagitarius points to this Black Hole.

On a Six Sided Dice the Sum of all the Numbers is Seven (1+6,2+5,3+4). The Sum of the Six Numbers is 3 X 7 = 21. If we add the Center (Saturn) the Number 22 appears.

22/7 is a good approximation of the number π. π relates the Square (and the Cube) to the Circle.

The Cube of Space symbolizes  the Playing Board of the Game of Life. On the Playing Board we have a Free Choice to move into the many Paths that are available. Every Path has its own Probability and this Probability can be calculated. If we don’t know what to do we could throw a Dice.

The Cube of Space contains the same six lines that exist in the I Ching. Four of the lines are of equal length, the other two, the diagonals, are longer. For this reason symmetry cannot be statically produced and the Dance (of Shiva) results.

The Circle represents the Cycles of Time of the Matrix of the Demiurg. Behind all the Probabilities of all the Possible Paths lies a Hidden Order.

A Hexagram, represented by the Star of David,  is a Two-Dimensional (Orthographic) projection of a Cube. A Symmetric Projection of the Cube creates a Cross.

One of the many meanings of the first word in the Bible “Bereshit“,  is “They (Elohim) created Six” which means that in Six Stages of  the Time Cycle the Cube of Space (or the Hexagram) was populated. On the Seventh Day the Center was filled.

The book of Genesis does not describe the creation of the Trinity (They, Elohim, 1+2+3, 1x2x3) itself. This stage was later covered in the Zohar.

In my blog “About the Sum of Things” it is shown that Six Stages are part of an Expansion Pattern governed by the Powers of Two. After 2**6 (64) Expansions (or Compressions) the Same Fractal Pattern repeats itself on a higher level.

64 is the Number of the I Tjing and the Game of Chess. The number 32 of the Sepher Yeshirah is 64/2 and is a Contraction of the I Tjing.

The I Tjing is a contraction of the oldest Divination System in the Word called FA. FA is still used all over the world by the followers of the oldest wisdom-system created by the YOrubA in Africa. The Yoruba lived at the place where the ancient Paradise was situated.

The Tetraktys contains the Numbers 1, 3, 6 and 10. These numbers are called Triangular Numbers.

The number 21 is also a Triangular Number because it is the Sum of  the Sixth Level of the Tetraktys,  the Numbers 1 to 6.

The Fifth Level of the Tetractys is related to the Number 15 (1+2+3+4+5). This number connects the Tetractys and the Sephirot to the 3×3 Lo Shu Magic Square also called the Seal of Saturn.

The nth Triangle number T(n) is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n.  T(n)=n(n+1)/2.

The Triangular Numbers contain the Perfect Numbers. A perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself. Six (1+2+3=1x2x3) is the first Perfect Number and 28 (1+2+4+7+14) is the next.

The Sum of two adjacent Triangular Numbers T(n) +  T(n+1) is a Square Number because Two Triangels can be combined in a Square. 1+3=2**2 and 3+6=3**2.

There are many relationships between the Triangular Numbers. These relationships were the focus of the research of the Mystical Group of the Mathematikoi of Pythagoras.

6 (Bereshit, the Cube, the Hexagram) + the 22 Letters of the Hebrew Alphabet = 28, the Next Perfect Number (1+2+3+4+5+6+7).

28 is like the numbers 6 and 15 also a Hexagonal Number. As you can see in the picture below 28 is the fourth Hexagonal Number. As we have seen before a Hexagon is a Projection of a Cube so 28 represents a Cube in a Cube in a Cube. A Cube in a Cube is called a Tessarect or a HyperCube.

The first sentence in Genesis (“In the beginning Elohim created Heaven and Eearth“) contains 7 words and 28 letters. This indicates that the Creation Process was already in the 7th stage of the Tetraktys and in its 2nd Fractal Expansion,  the Birth of the Material Universe.

The sum of the entire verse is the 73rd Triangular Number. The prime Numbers 37 and 73 are geometrically related. They form the third and the fourth term in the sequence of Star Numbers (1, 13, 37, 73, 121).

Hexagon/Star pairs are closely related to Triangular numbers. Their product is always a Triangle, and they can be symmetrically generated from a Pair of Triangles.

When a number represents a Geometric Structure it is called a Figurative Number.

Every possible figurative number is generated by the Triangle of Pascal.

The Fractal Sierpinsky Triangle is the Triangle of Pascal Modulo 2.

The Triangle of Pascal was known long before Pascal (re)discovered it.

It was known in Ancient India as the Meru Prastara and in China as  the Yang Hui.  Meru Prastara relates the triangel to a Mystical Mountain called Mount Meru. Mount Meru is also implemented in the Sri Yantra.

The Triangle shows the Coefficients of the Function F(X,Y))= (X+Y)**n. If n=0 F(X,Y)=1 and if n=1 F(X,Y)=X+Y so the Coeffcients are (1,1).

Pascals Triangle is a 2-Dimensional System based on the Polynomal (X+Y)**N. It is always possible to generalize this structure to Higher Dimensional Levels. 3 Variables ((X+Y+X)**N) generate The Pascal Pyramid and n variables (X+Y+Z+….)**N  generate The Pascal Simplex.

The rows of the Pascal’s Triangle add up to the power of 2 of the row. So the sum of row 0 is 2**0 and  the sum of row 1 is 2**1 =2.

The Sum of the  rows of the higher n-dimensional versions of the Triangle is n**N where n is the Amount of Variables and N the level of expansion. So the Sum of Pascal’s Pyramid (3 variables X,Y,Z) is 3**N.

The most interesting property of the Triangle is visible in the Diagonals.

The First Diagonal contains only 1’s. The Ones represent Unique Objects. They are the Points in the Tetraktys.

The Second Diagonal contains the natural numbers. These Numbers are used to Count Objects that are The Same. The Natural Numbers are the Lines that connect the Points. The Natural Numbers are the Sum of the previous Ones.

The Third Diagonal contains the triangular numbers. The Triangular Numbers are the Sum of the previous Natural Numbers.

This pattern repeats itself all the time.

The Fourth Diagonal contains the tetrahedral numbers (Pyramid Numbers) and the Fifth Diagonal, the pentatope numbers.

Fermat stated that Every Positive Integer is a Sum of at most three Triangular numbers, four Square numbers, ﬁve Pentagonal numbers, and n n-polygonal numbers.

The Tetrahedron with basic length 4 (summing up to 20) can be looked at as the 3-Dimensional analogue of the Tetraktys.

The Diagonals of the Triangle of Pascal contain every Possible 2-Dimensional Figurative Number (and Structure).

These Numbers are Projections of Higher Dimensional Numbers and Higher Dimensional Structures.

The Higher Dimensional Versions of the Triangle (the Pascal Pyramid, The Pascal Simplex) contain these structures.

The Rows of the Triangle Sum to the Powers of Two (2 Dimensions). These Powers control the Levels of Expansion.

Every 7th step the Fractal Pattern of the Triangle repeats itself on a higher Level.

The Figurative Numbers are the Geometric Shapes that are created by the Lines of the Natural Numbers that are connecting the Points of the One.

Pascal’s Triangle also contains the numbers of the Fibonacci Sequence (“The Golden Spiral“).

When we take the Modulo 9 (the Digital Root of Pythagoras) of the Numbers of Fibonacci a repeating patterns of 24 steps shows itself that can be represented by a Star Tetrahedron or Stella Octangula. The Star Tetrahedron is a Three Dimensional Star of David.

Every Figurative Number N is the Sum of the Figurative Numbers N-1.  Every Geometric Shape is a combination of all the Previous Geometric Shapes.

This means that Every Geometric Shape is in the end The Sum of the Sum of the Sum of  …. Triangels, Trinities (Elohim) or Triangular Numbers and therefore an Extension of the Tetractys of Pythagoras.

The Expansion of the Whole is a (Fractal)  Combination of Combinations.

The Triangle of Pascal is related to the so called Binomial Theorem which is used in Combinatorics and Probability Theory to describe the Amount of Combinations of a Set of  Objects.

The rows of the Triangle of Pascal also shows the Bell Shaped Pattern of the Normal Distribution.

The Probability Distribution of the Triangle of Pascal converges to the Normal Distribution because of the Central Limit Theorem. Every Row has a Mean of N/2 and a Variance of (N**1/2)/2 which means that with every new row the Mean and the Variance become Bigger and Bigger.

The Triangle of Pascal and therefore the Figurative Numbers describe Everything that is Possible but every Expansion of the Triangle is less Likely to Occur.

Because of the Fractal Expansion/Contraction Pattern The Cube of  Space, related to the Element Earth,  explains Everything there is to Know on Our Level of Existence, Mother Earth.

The interesting part of the Figurative Numbers is that they representent Visual Patterns with which we can Reason.

We don’t need complex formulas because we can See what is Possible.

The interesting part of the Triangle of Pascal is that we can See that the Complex Figurative Structures are created out of a very Simple Structure, the Triangle.

If we want to understand our Reality we have to begin with looking at the Beginning and not start somewhere in the Middle.

If we look at the Fractal Expansion Pattern of the Triangle we See that Every new Stage is an Expansion Out of the Middle.

The Expansion of the Human, the Next Step in our Evolution,  is therefore an Expansion Out of the Heart, the Balance of Father Sky and Mother Earth.

Life is not only about Me and the Other.

Life is also about the Relationship between Me and the Other.

If we don’t Collaborate the Next stage in our Evolution will never happen.

The Content of the Sepher Yesirah

About the Cube of Space and Psychology

About the Sepher Yesirah and the I Tjing

A correspondence table of the Cube of Space

About the Sri Yantra and Plato

About the Lo Shu and the I Tjing

All kind of strange relationships between Triangular Numbers

A website about Mystical Number Theory

About the Golden Spiral and Plato

About Pascal’s Triangle and the Normal Distribution

A complete course in elementary Number Theory

About the Psychology of the Cube of Space

About the Tetraktys and the Zodiac

About the Process Theory of Paul Young

Mysteries of the Equilateral Triangle

About Visual Patterns in Number Theory

About Pascal’s Triangle and Cell Division

The Lo Shu is a Chinese Model for Time and was used to design Cities, Temples, Cycles and Calendars.

The Lo Shu is a 3×3 Magic Square created by Fu Xi, the Founder of Chinese Civilization. Fu Xi lived around the time of the Great Flood.

The Magic Square was carried by a Turtle. The Turtle is the symbol of the Constellation Orion. Many Ancient Cultures claim that our Ancestors came from this constellation. The Square of Lo Shu is also referred to as the Magic Square of Saturn or Chronos (Time).

According to Chinese Creation Myth  the world started with 無極 (wuji: nothingness), the Tao. Out of the Tao, the Egg of the Zero (0) and the Supreme Pure One (1) emerged. In the next step the Trinity (3), the Three Pure Ones, was created.

The Tao produced One; One produced Two; Two produced Three; Three produced All things (Lao Tsu, Tao Te Ching, 42).

The Trinity is represented by a Triangle. A combination of Two Triangels is a Square. The combination of Two (2) Triangels is also the Symbol of the Heart Chakra, the merge of Heaven, the Upper Triangel and Earth, the Lower Triangel.

The most complex Yantra (“machine”), the Sri Yantra, contains 43 Triangels. The Sri Yantra is determinated by the Bronze Mean. The Bronze Mean is a generalization of the Sequence of Fibonacci based on the Trinity. The Bronze Mean generates Quasi-Crystals and Penrose Tilings.

The Lo Shu Magic Square not only shows the Connection between the Four Forces that came out of the Two Forces, Expansion and Compression, it also shows the connection between Heaven and Earth.

In the Magic Square of Lu Shu the Even Numbers (2,4,6,8 = 2 x (1,2,3,4 = 2×2)) are Black(Yang, Male). The Odd Numbers (1,3,5,7,9 = 3×3) are White (Yin, Female). The Sum of all the Numbers is 15 (3×5).

The Even Numbers are situated at the Corners of the Square.

When the numbers of each row are multiplied (8x1x6; 3x5x7; 4x9x2) they together total to 225 ((3×5)x(3×5)) — as do those of the columns (8x3x4; 1x5x9; 6x7x2).

The Magic Square is dominated by two numbers (2**1, 2**2, 2**3)  and (3, 2×3, 3**2), It contains four Prime Numbers (1,3,5,7). It also contains the first Perfect Number 6 (1+2+3 =1x2x3). 6 is also a Harmonic Divisor Number and has a Harmonic Divisor 2. The Sixth Day in the week is the day of Saturn, the God of Time.

The sequence 1,2,4,8, 1, 3,6,9, 27 is called the Tetrad of the Pythagorians and was, according to Plato, used by the Demiurg, the Creator of our Universe, to create the Soul. The Soul is a mixture of the Same (1), the Different (2), and Existence (3). The Tetrad was used to define the Harmony of the Spheres.

When you connect the numbers of the Lo Shu a pattern appears that is called the Seal of Saturn or the Dance of Yu.

The Sum of Magic Squares is a Magic Square and the product of a Magic Square M with a number a is again a Magic Square aM. Both Rules can be used to construct a Magic Square out of simple Binary Squares called Magic Carpets. One of these Magic Carpets is the Identity Matrix with One on the Diagonal.

Every Magic Square is related by Rotation and Mirroring to Eight other Magic Squares. This means that the central Lo Shu Magic Square with the Five in the Middle is related to Eight other Magic Squares with the other Numbers in the Middle. One of them contains the Nine and is called the Well.

The Sum of numbers of the Well is 18 (2×9) and the sum of all opposites across the 8 Spoke Wheel = 9 (9+0, 8+1, 7+2, 6+3, 5+4). 2×9 means that there are Two Complementary Magic Squares. One Magic Square is Rotating with the Clock and the other Against the Clock.

The Nine is the most important Number in the Magic Square. The Nine comes back in many ancient mythologies like the Egyptian Pesedjet and the Greek Ennead.

When you add the separate numbers of a number (54 = 5+ 4 = 9) the result is the Remainder when you divide the number by 9.  This number is called the Modulo 9 number.

The Powers of 2 (= Expansion) Mod 9 creates a pattern (1,2,4,8,(16)7,(32)5,(64)1,(128)2,…). This pattern is reversed when we divide by 2 (=Compression) (1/2 (0,5 =5), 1/4 (0,25 = 7), 1/8 (0,125 =8), 1/16 (0,625 = 4), 2,1).

The Expansion and Compression Pattern shows that the same pattern repeats itself when the Magic Square is expanded or compressed Six (6) Times. The 7th Step is the Same as the First Step.

After 2**6=64 (8×8) divisons of the cell a Specialized Cell is created, the stem cell. The same happens in Music.  The Game of Chess (Chiu King in China) with its 8×8 = 64 = 2**6 Playing Board contains every possible situation of the Game of Life.

The Two-Pattern does not contain the numbers 3,6 and 9. The number 9 is repeated every time when the pattern is expanded and compressed which means that Nine is the same as the Identity, the One (1+9 = 1). 3 and 6 Oscillate (1x2x3=6 and 1+2+3 =6) and  therefore represent the Duality (3+6 = 9, = the One).

If we combine the Expansion and Compression patterns a Torus (a Rotating Circle, The Wheel of Time) appears. The Zero (the Void) is in the Center and Contains the Vortex. The Vortex represents another Cycle (Black/White Hole, 3,6,9, the Wheel of Order) in which every structure/pattern is destroyed to start All Over Again.

If we subtract the numbers in the Square by the number of the Center, 5, a highly Symmetric Pattern emerges. This pattern shows that there are Two Mirror Universes both containing four Forces.

When we transform this pattern from Modulus 9 to Modulus 3 (the Trinity) we see that the number 4 equals 1 and represents a new beginning of the Cycle.

The Magic Square with the Zero in the Middle is surrounded by two Sequences of 123(4) with different Signs. The Signs are arranged in a Cyclic Pattern (- -, + -, + +, – +) that contains the Four Permutations of – and +. The Sum of the ++ and the — is -3 and +3, the Trinity. The Sum of +- en -+ is the One.

The Cyclic Pattern of + and – represents the Prisoners Dilemma that is solved by the Strategy of Tit for Tat. This strategy is applied by the Trickster, the God of Paradox, a concept of God in which God creates games that create games.

When you use the basic Addition and Multiplcation Rules of the Magic Square many important numbers and patterns  appear that are related to Ancient CalendersSymbols and Cycles.

The Lo Shu Magic Square appeared a few years ago when I wanted to know more about Acupuncture.  Acupuncture is related to the Sheng Cycle and the Sheng Cycle is related to the Lo Shu. A Magic Square is the perfect way to visualize the Constraints that control the Four Forces in our Universe.

Soon after this discovery, I found out the Lo Shu is related to the Trinity and the Bronze Mean which is an abstraction of the Fibonacci Sequence. The Bronze Mean generates the Sri Yantra and so-called Quasi Crystals. Quasi Crystals explain Acupuncture.

A few weeks ago I started a discussion with Kim Veltman. Kim Veltman is the director of the Maastricht McLuhan Institute. He is researching Ancient Architecture and wrote a very interesting document called “Alphabets, Elements and Cosmologies”.

Ancient Alphabets are related to Numbers and Tones so Ancient Texts also represent Numerical Patterns and Music. You want be surprised to read that the Lo Shu showed itself in every Text Kim Veltman has analysed.

His document started a new inquiry into the pattern of the Lo Shu. During this research, I detected the book “the Sum of Things” by Paul Martyn-Smith. Paul Martin-Smith worked together with Lee Burton.

This blog contains just a little bit of the tremendous amount of information Paul Martin-Smith & Lee Burton have found about the essence of the I Tjing which is contained in just one simple 3×3 Magic Square.

If you want to know more the only thing you can do is to buy this book and start reading.

The Calculations  behind the Number of Things

The Relationship between the Lo Shu and the I Tjing

About Saturn, the Son of the Sun

How to construct Magic Squares out of Binary Squares (Magic Carpets)

The Sistine Chapel (Rome) and the Seal of Saturn

About the Relationship between the Lo Shu and Music

About the History of the Lo Shu

About the Wheel of Eternal Order and the Wheel of Time

About the Relationship between the Lo Shu and Chinese Alchemy

About Plato, Pythagoras and the Lo Shu

Everything You want to Know about Sacred Geometry

About the Influence of the Lo Shu on Recent Art

The Lo Shu Square with Imaginary Numbers

About Magic and the Memory Palace

In the 5th century AD, Martianus Capella defined the Seven Liberal Arts: Grammar, Dialectic, Rhetoric, Geometry, Arithmetic, Astronomy, and (Musical) Harmony. The System of Capella became the model of the Medieval University.

The term liberal means “appropriate for free men“.  The Liberal Arts represented the kinds of skills and general knowledge needed by the Elite. The Servile Arts represented Specialized Tradesman Skills and knowledge needed by persons who were employed or owned by the Elite.

The Number Seven was not taken by Accident. This number represented the Seven Days of the Week, the Seven Spheres, the  Seven Planets, the Seven Notes and the Seven Colors.The Seven Planets of the old cosmology included the Sun (Sol) and the Moon (Luna), which we now don’t regard as planets at all.   The other Five were Mercury, Venus, Mars, Jupiter, and Saturn, the 7th planet and the Son of the Sun.

In Ancient Babylonia,  the Seven Spheres were represented by a Building , A Ziggurat, that looked like the Tower of Bable. This Babylonian Step Tower was a Visual Model of the StairWay to Heaven.  The Seven Spheres were divided in three Heavens and three Hells with the Earth in the Middle. The Pyramids in Egypt are based on the same model.

The Three Heavens contained Three Hierarchies of Angels, Nine in total. At the Top, the Eight Step,  the Creator was situated. Again the Creator consisted of three Entities, The Father, The Son and The Holy Gost (The Trinity).

As You can See the Number Three plays a very important role in the Ancient Models. The main reason could be that this number is the most efficient number when you want to create a Number System.

If you use this number as the Base System the Universe could be explained as Triangels within Triangels. With the help of the Trinity-Fractal Ancient models like the Tree of Life, and the Egyptian Pesedjet are easy to understand. The Trinity-Fractal comes back in modern Physics as the Triangel of Pascal.  In Ancient China the Triangel of Pascal was called the Wei Chi. The Wei Chi was used to play the Game of GO.

In 1275 Raymond Lull designed a tool to Classify and Generate all the Knowledge of the Universe based on a Set of  Nine (3×3) Concepts.  His invention was described in his book Ars Magna (“The Ultimate General Art”).

Lull’s logic machine consisted of a stack of concentric disks mounted on an axis where they could rotate independently. The disks, made of card stock, wood, or metal, were progressively larger from top to bottom. As many as 16 words or symbols were visible on each disk. By rotating the disks, random statements were generated from the alignment of words. Lull’s most ambitious device held 14 disks.

The disk contained the Nine most important (Christian) Concepts of the Universe:  Bonitas (Goodness), Magnitudo (Greatness), Eternitas (Eternity), Potestas (Power), Sapientia (Wisdom), Voluntas (Will), Virtus (Virtue), Veritas (Truth), and Gloria (Glory).

Lull’s fame as a Mystic spread throughout Europe during the late Middle Ages and Renaissance. Centuries later, the German

mathematician Leibniz acknowledged the importance of Lull’s Machine.

The idea for the machine came to Lull in a Mystical Vision that appeared to him after a period of fasting and contemplation. In reality, Lull may owe his Divine Inspiration to the Magi. They used a Device called the Zairja, an Idea Generator that used the 28 letters of the Arabic alphabet to represent the 28 Categories of Thought in Arab Philosophy.

In 1516 Thomas Moore published his book Utopia, a description of an Ideal State. Much later Tommaso Campanella (The City of the Sun), Francis Bacon (The New Atlantis) and Johannes Valentinus Andreae (Description of the Republic of Christianopolis) wrote comparable books. The books were based on Plato’s Republic. All of the books contained Architectual Designs based on Ancient Geometries.

Around 1300 Wealthy and Powerfull Merchants (de Medici) in Italy regained interest in the Ancient Knowledge of the Egyptians, the Arab, the Greek and the Romans. This knowledge was almost completely destroyed by the Church of Rome.

Scientists, Poets and Artists (Petraca, Dante, Boccaccio) visited Byzantium and discovered ancient manuscripts written in Greek and Latin.  Greek scholars were encouraged to come from Byzantium to Italy. Byzantium and Europe was ransacked for copies of the long unused Latin classics and copyists multiplied them.

Libraries were founded, and schools for the study of both Greek and Latin in their classic forms were opened at Rome, Mautua, Verona, and many other towns. After the fall of Constantinople in 1453 the proces gained a further impetus because of a number of Greek humanists who moved from Byzantium to Italy.

In 1462 the Platonic Academy was opened in Florence under the patronage of Florentine Duke Cosimo de’ Medici. Its leader became Marcilio Ficino.

Around 1463 Cosimo de’ Medici commissioned Marsilio Ficino to translate a book called the Pimander with high priority  into Latin from a Greek manuscript brought from Macedonia. This book contained the Corpus Hermeticum that was attributed to Hermes Trismegistus.

Hermes Trismegistus “Thrice-Wise“was named Thoth or Djehuti in Ancient Egypt. The Djed of Djehuti represents the Power of the Snake (the Kundalini) in the Spinal Column. Thoth was the Scribe of the Gods, the inventor of writing, and was usually depicted in hieroglyphics with the head of an Ibis Bird. This head of the IBIS carried the Moon, the Planet of the Mother God, The Night and of Magic.

At that time Scientists believed that the Older the Truth the Bettter. They believed there was once a Golden Age in which the Eternal Truth was known. From that time on History was in a Downfall until the time of the Resurrection.

Marsilio Fucino dated Hermes Trismegistus “long before the sages and philosophers of Greece, but yet after Abraham, Isaac, Jacob, and Joseph“. His dating of the Corpus “proved” that the writings of Hermes contained the Primal Source of Wisdom.

In 1945 Coptic fragments of the Corpus Hermeticum together with many other Gnostic Writings were found at Nag Hammadi, Egypt.

At this moment we know that the Corpus Hermeticus just like the Emerald Tablet ,another text dedicated to Hermes, was written in Alexandria around 200 BC.

Alexandria, created by Alexander the Great, was the place where the Ancient Knowledge of Heliopolis ,the City of the Sun, was stored in its immense libraries after its destruction. A part of this library was later moved to Byzantium, the Center of the East when the library of Alexandria was destructed.

The most important message of Hermes is that the Physical World is the Manifestation of the Spiritual World. This is summarized in the Hermetic adage “As above, so below.” At this moment we would name the concept of “As Above, So Below” a Self-Reference or a Fractal.  The old Scientists knew that one Concept returned on every Level of Our Inside and Outside Reality.

The Corpus Hermeticus provided a seminal force in the development of Renaissance thought and culture. After the Dark Middle Ages, controlled by the Rule System of the Church of Rome, the Scientists started to do their Own Research and  Thinking.

The Cycle of Culture moved from the Stage of Order to the Stage of Imagination.

One of these Scientists was Giordano Bruno. Bruno was born in 1548. At the age of 17, he entered the Dominican Order, was trained in the Liberal Arts of that time  and became an ordained priest in 1572 at age 24. During his time in Naples he became known for his skill with the Art of Memory and on one occasion traveled to Rome to demonstrate his System before Pope Pius V and Cardinal Rebiba.

The Art of Memory belonged to the rhetoric tradition as a technique which enabled the orator to deliver long speeches from memory with unfailing accuracy.

At that time people had to Learn a lot of information by Heart. To do this they used a Mnemonic System called a Memory Palace. The memory images were linked with visualized locations that could be found in architecture, books, sculpture and painting, which were seen by practitioners of the Art of Memory as Externalizations of Internal Memory.

Artists used the Images that were part of the Memory Palace as a reference. The Images were linked with Universal Concepts. In the time of Middle Ages and the Renaissance people knew the Meaning of every Image that was used. Geometric Structures, Paintings, Poems and Buildings were carriers of many Levels of Meaning. Some of these levels were only known by the Inner Circle of Ancient Secret Societies.

In the old days the Inside World was seen as the most important place to Explore. The Outside was nothing but a Projection of the Inside.

Examples of Ancient Memory Palaces are Ancient Egypt, the City of Meru (Sri Yantra), the City of Heliopolis, the Babylonian Ziggurat, the Egyptian Pyramid, The Temple of Solomon,  and the most important Memory Palace,  the Zodiac. In the Middle Ages Cathedrals (Chartres), Palaces (Alhambra) and Temples (Taj Mahal) were designed and used as Memory Palaces.

“Some place is chosen of the largest possible extent and characterised by the utmost possible variety, such as a space house divided into a number of rooms. Everything of note therein is carefully committed to the memory…The next step is to distinguish something [to be remembered] by some particular symbol which will serve to jog the memory…. These symbols are then arranged as follows. The first thought is placed, as it were, in the forecourt; the second, let us say, in the living-room; the remainder are placed in due order all round… and entrusted not merely to bedrooms and parlours, but even to the care of statues and the like. This done, as soon as the memory of the facts requires to be revived, all these places are visited in turn and the various deposits are demanded from their custodians, as the sight of each recalls the respective details” (Quintilian Institutio Oratoria, Book XI).

The Art of Memory was a very important Art because Manuscripts were very rare and the use of Manuscripts and Symbols was seen as the major cause of the detoriation of society. Books produced “fake” scientists who are not wise but only appear to be wise.

For this invention will produce forgetfulness in the minds of those who learn to use it, because they will not practise their memory. Their trust in writing, produced by external characters which are not part of themselves, will discourage the use of their own memory within them. You have invented an elixir not of memory but of reminding; and you offer your pupils the appearance of wisdom, not true wisdom, for they will read many things without instruction and will therefore seem to know many things, when they are for the most part ignorant and hard to get along with, since they are not wise, but only appear wise” (Plato, Phaedrus).

Giulio Camillo was one of the most famous men of the 16th century. With a commission of 1200 ducats from the King of France, Francois I, he created a theatre that contained divine powers: whoever entered the theatre would emerge with a complete memory of all the knowledge that had ever existed. The design of his theatre is described in his book L’idea del teatro written in 1554, the last year of his life. The theatre consisted of Seven Levels and contained the complete Knowledge of the Corpus Hermeticum.

Following the order of the creation of the world, we shall place on the first levels the more natural things…those we can imagine to have been created before all other things by divine decree. Then we shall arrange from level to level those that followed after, in such a way that in the seventh, that is, the last and highest level shall sit all the arts… not by reason of unworthiness, but by reason of chronology, since these were the last to have been found by men” (Guilio Camillo).

At the time of Gordiano Bruno Copernicus detected that the Sun was the Center of our Planetary System. His discovery was in conflict with the Theories that were educated at the Universities that were controlled by the Church of Rome.

Gordiano Bruno saw that the new theories were in line with the teachings of the Corpus Hermeticum in which the Sun (of Heliopolis) was in the Center. Bruno started to Fuse the Knowlegde of the Corpus Hermeticum with his already highly advanced Memory System.

At that time the power of the Church of Rome was going down rapidly. Europe was divided by religious wars between Catholics and Protestants. The merchants, bankers and artisans of Europe’s largest cities and towns resented the fact that local bishops of the Church controlled all of their commercial and economic activities.

Priests married and then took mistresses, holy offices were bought and sold for the highest price, incompetence among the clergy became the rule, the congregation of more and more people in towns and cities perhaps exposed the amorality and immorality of the clergy.

Gordiano Bruno believed he had to create a new Religion based on the Ancient foundation of Religion he found in Egypt.

Gordiano was a free-thinker and he never stopped expressing his own believes. When he learned that an indictment was being prepared against him in Naples he fled the convent and started to travel Europe.  He visited the French King Henry III, the English Queen Elizabeth, Wittenburg , the Center of the Protestant Movement, the city of Prague and Emperor Rudolf II.

At every place he came he started to educate the others in his Expanding (forbidden) Vision of the Infinite Universe. At every place his free-thinking brought him into a conflict and he had to move on.

In 1592 he was lured to Venice, arrested by the Inquisition and transported to Rome. In 1600 he was convicted and publicly burned at the Campo de’ Fiori in Rome. In 1889 a Statue was erected at the place of his execution.

There is no evidence that Giordiano Bruno met John Dee when he was in England but he was in contact with the most important people that were part of the “Hermetic Circle” of John Dee. There is a lot of evidence that Bruno was the creator of the Rosicrusians.

Bruno’s books on the Art of Memory were in reality Courses in the Solar Magic taught by Hermes Trismegistus.

Bruno knew that the most important tools of the Magician are the Power of his Imagination and the Connection with the Major Powers in the Hierarchy in the Heavens, the ArchAngels and the Demiurg, the Creator of the Matrix.

The System of Bruno was created to make is possible to generate powerfull images and Magical Rituals to make the Right Connection (Bonding) with the Major Creators of the Universe we live in.

There are three gates through which the hunter of souls (the Magician) ventures to bind: vision,  hearing and mind or imagination. If it happens that someone passes through all three of these gates, he binds most powerfully and ties down most tightly.” “He who enters through the gate of hearing is armed with his voice and with speech, the son of voice. He who enters through the gate of vision is armed with suitable forms, gestures, motions and figures. He who enters through the gate of the imagination, mind and reason is armed with customs and the arts.” (Giordano Bruno, Theses de Magia, Vol. LVI).

Robert Fludd was born in England in 1574,  thirty years after Giordano Bruno was born. Between 1598 and 1604, Fludd studied the Liberal Arts on the European mainland. Robert Fludd was one of the last Hermetic Scientists of the Renaissance. In his life he tried to describe everything that was known until that day. Robert Fludd was a Rosicrucian.

One of his products is a Musical Memory Palace and a Memory Theatre, the Globe, that was used by Lord Chamberlain’s company to which Shakespeare belonged. In the view of Fludd a theatrical play was a Projection of a part of a Memory Palace.  The Theatre was a tool to educate the Elite (and the Masses) into the Hermetic Whole.

The work of Bruno and Fludd was taken over by many other Scientists but the relationship between the Art of Memory and Magic slowly faded away.

At the end of the Renaissance Reason, Logic, became much more important than the Seven Liberal Arts.  The Scientists of the Age of Enlightment wanted to get rid of the Delusions of the Imagination. The only thing that counted were Facts observed by the Senses.

Leibniz (1646-1716) was one of the exceptions. He was an Old Fashioned Renaissance Magician and believed in the Harmony of the Spheres. He invented many theories that proved his Point of View and are now proven to be Right.

He believed that scholarship or “perfect knowledge of the principle of all sciences and the art of applying them ” could be divided into three equally important parts : the Art of Reasoning, the Art of Inventing (Combinatorics) and the Art of Memory and the Imagination (Magic). He even wrote an unpublished manuscript about the Art of Memory.

Leibniz got into a big conflict with Newton about the Role of the Imagination and Scientific Discovery in Society. Afther his death Newton and his Protectors, the Medici of Florence, started an effective campaign to prove that Newton was the inventor of the Theories of Leibniz. This is the reason why Newton became the major Scientist of his time.

After the Renaissance, the Stage of the Imagination, the Cycle of Culture moved to the Stage of the Emotions, the Time of the French Revolution. The Old Social Structures of Europe started their big Transformation.

Around 1740 the Industrial Revolution started in England and the Theories of Newton, Descartes and Kant about the Cold Mechanical Reasoner without Feeling and Imagination took the Lead. The ultimate products of the Industrial Revolution, the Computer and the related Factory-Model are now the Leading Paradigm.

The link between the Machine that Controls and Generates our Universe (the Yantra), the Ideas/Concepts that govern our Universe and the related mostly Astronomical Symbols is now completely lost.

Almost nobody is able to understand and value the Ancient Knowledge of Heliopolis that Scientists like Gordiano Bruno and Robert Fludd were trying to reconstruct during the Renaissance.

The Medici and their Successors, the Big Bankers and Merchants, finally succeeded in the Destruction of the Imagination and the Emotions.

Starting 1950 the Cycle is moving into a new Renaissance.

After the Invention of Quantum Mechanics (inspired by Robert Fludd) it becomes clearer and clearer that The Imagination is the Major Power that Creates and Sustains our Universe.

The Ideas of Bruno, Fludd, Plato, the Corpus Hermeticum and the Ancient Knowledge of Heliopolis are coming Back.

One of the most interesting scientists of the Art of Memory is Alan Turing. He constructed a very simple machine now called a Turing Machine that contained a Memory and a Writing Device that could move backwards and forwards. With the help of this simple Device Turing was able to solve many Mathematical Problems. At the end of his Life just before he committed suicide he started to research Morphology, the Science of the Forms.

What to Do?

The Current University System is highly fragmented. It needs a general principle to Unite all the now diverging Subjects of Investigation. The complexity of our Science is enormous. The link between Science, Art and Religion is gone.  We are in the same state as the World was at the end of the Middle Ages.

Perhaps we could introduce the Memory Palace again. It would certainly help to improve the Memory of the Students who are now Copying and Pasting the Internet.

About the Egyptian Pillar of God

One Cellar Creatures, Bacteria, have no need for a central system, a Central Nervous System. Their only need is to find Food (Chemicals).

To find food they Move Around in the Chemical Soup with their Flagellum in a Chaotic Pattern (Creativity, Exploration) until they are Attracted by (Fall in Love with) a Source they Like.

When the Bacteria are Attracted by the Food, their Creative Behavior stops. The Chaotic Pattern changes into a Stable Cyclic Pattern.

The Movement of the Flagellum of the Bacterium is comparable with the Emotional System of the Human Being.

The Creative and the Emotional System are the Basic Systems of Nature. Conscioussness, the Feed Back Cycle, was there from the Beginning. Conscioussness, Creativity and Compassion are also the Basic Systems of the Human Being.

They are independent of Time and Place. In the first step of Evolution the Organisms where Connected and in the Now.

In the next step of Evolution two new Protective Systems came into existence, the Predictive System (Thinking) and the Sensory System.

They are related to the Multi-Cellar Organisms, the Organisms with a Brain and a Spine. The Protective Systems came into existence because the Organisms became Disconnected (Specialized) and started a Competition.

Although they may look plant-like, Sponges are the simplest and the oldest (635 million yrs) of the multi-cellular animals. Sponges evolved in shallow ocean basins, because the deeper seas did not yet contain oxygen, a necessity for almost all life.

At that time the Sponzes could live an Easy Life because there was no Competition from more complicated animals.

Sea sponges are not moving at all. They attach themselves to the sea bed and filter nutrients from the water that they force through their porous bodies with flagella.

Because of the Life-Style they lead sea sponges do not need, and therefore lack, nerve cells, muscle cells and internal organs of any kind.

The first step in the development of the Central Nervous System (CNS) is the Community. The Cells are coordinated by specialized interconnected nerve cells, the Nerve Net.

Although the Nerve Net allows the animal to respond to its environment, it has trouble alerting the animal from Where the Stimulus is Coming.

For this reason, simple animals with Nerve Nets always Respond in the Same way to Contact with an Object, regardless of where the contact occurs. The organisms coordinated by a Nerve Net are able to move in a Plane.

The next step is the development of organisms happened about 590 million years ago. At that moment the Central Coordinating System, the Brain, appeared.

Sea stars have a nerve net in each arm, connected by a Central Radial Nerve Ring at the center.

This is better suited to controlling more complex movements than a Diffuse Nerve Net.

The organisms with a CNS, the Bilateria, are able to Act and React to a Possible Harmful Stimulus.

They Move in the 3rd Dimension, endowing them with not only a top and a bottom, but a left and a right, and a front and a back. Therefore they are comparable to a Sphere.

The 3-Dimensional Bilateria make use of Five fluid filled Cavities (Spheres) to Protect the Organs and a Digestive Tube with a Mouth and an Anus.

The Bilateria (including the Humans) have Five Body Cavities: (1) the Brain; (2) the Spinal Cord; (3) the Heart and Lungs; (4) the Digestive Organs and Kidneys; (5) the Bladder and Reproductive organs.

The Five Spheres are incorporated in one Super Protective Sphere, the Coelum (Skin).

In the Human Embryo the First step of Division of the Cells is between the Coelum (the Multi-Cellar Body) and the Brain (CNS, Coordinating the Multi Cellar Body).

The CNS shows the greatest development in Vertebrates. In the vertebrates the CNS is protected by the Skeletal System.

The CNS is connected to the rest of the body through a peripheral nervous system that includes the nerves connecting the brain and spinal cord with Receptors such as the Ears and Eyes and Effectors such as the Muscles in the Body.

In the evolution of Vertebrates from Fish to Mammals, the most significant changes have occurred in the Structure of the Brain.

Even in the earliest vertebrates, the brain had three divisions: the Hindbrain, Midbrain, and Forebrain.

The Hindbrain is concerned with Motor Reflexes, the Effectors, the Muscles (the 2nd Dimension).

The Midbrain coordinates the Receptors (Eyes, 3rd Dimension). In the progression from Fish to Mammals, the Forebrain becomes more prominent.

The Forebrain is used for Receiving and Integrating Information to create a 4-Dimensional Picture of the Space/Time. This System is used to Predict the Causal Path of the Future. The Predictive System is fed by the experiences of the Past and tries to avoid Pain and Destruction. Its Basic Emotion is the Fear to lose Control.

At this moment the most advanced creatures on Earth, the Humans are able to operate in the Fourth Dimension. The Blueprint of the Organisms, the DNA, contains enough Junk DNA to reach into higher Dimensions. The next step is the Fifth Dimension. In this Dimension Space & Time Travel are possible.

Scientists recently discovered that the DNA of one of the most primitive and ancient Multi-Cellular creatures on Earth, the Sea Sponge, contains almost the Same Blueprint as the Central Nervous System of the Human Being.

Many people still believe the Evolution Theory of Darwin is Right. This theory states that the evolution of the species is governed by Random Mutation and Natural Selection. The discovery of the DNA of the Sponge shows a completely different view, the view of the much despised Lamarck.

Behind the seemingly Random Pattern of Evolution a highly stable (geometric fractal) structure, The Trinity Pattern, emerges. The DNA is not adapting to Evolution. It is the other way around. Evolution is an Enfolding of a Highly Stable Self Referencial (Fractal) Multi Dimensional Blueprint. This Blueprint was already there when the Universe was created. The Trinity Pattern shows that the basic structure of the Universe is an enfolding of Trinities in Trinities.

The Sequence of the Enfolding is controlled by a pattern called the Bronze Mean (1,1,4,13,43). The pattern is visible in the ancient Sri Yantra.

We are now in the 42th step of enfolding. The 43th step will create a completely new Universe.

In this step the Seven Seperate Multi-Verses of our Universes will Merge into One Structure that is connected to the Rotating Primal Void, the Sekhem.

If this step will occur we will be able to move out of the 4th dimension into the 5th, Space/Time.

The good thing is that many scientists especially the Physicists and the Mathematicians believe the Eternal Blueprint is there and will be found.

Many of them also believe that this Blueprint was already discovered a long time ago. In the next part of this blog I will continue with my discovery of the Old Egyptian Physics. We will see that the Old Egyptian Scientists were aware of the Patterns behind the Patterns.

What is Happening?

In the Beginning, 3.8 billion years ago, the Self Reproducing Central Coordination Sphere called Earth, moving in 4-dimensional Space/Time, was a “chemical soup“. When the Earth cooled down the Soup transformed itself into Self-Reproducing Cells, the Bacteria.

The Cells clustered into Self Reproducing Central Coordination Systems called Humans. In every step of the Evolution from Chemical Soup to Human a new Dimension of Space/Time was discovered. The next step must be a step into the 5th Dimension.

Let us move back to Ancient Egypt.

In current Physics a Singularity is called a Black Hole or Wormhole. In the Old Egyptian Science the Void was called the Sekhem.

In the next step of the story Isis and Osiris give birth to a child called Horus.

Horus is the Symbol of the Human Body. Isis is represented in Catholic Tradition by Mary, the Black Madonna. In most representations she is depicted with her Child (Horus, Jezus).

The Four Suns of Horus are the symbols of the Four Organs situated in the Four Cavities of the Human Body.

The last Fifth Cavity of the Human Body, The Brain and the Spinal Cord protected by the Backbone is represented by a symbol called the Djed Pillar. The Djed Pillar was one of the most Magical Symbols in Egypt.

The Five Cavaties correspond with the Five Organs in Acupuncture. Acupunture is an Ancient Chinese Medical Treatment to cure and stabilize the Electro Magnetic Body of the Human. The Cavities now called Cells also exist in the Universe. They are the Birth Places of Star Clusters.

Why is the Djed Pillar such an Important Concept?

The name Djed contains the term DJ meaning Serpent. Dj comes back in Dj-huti (Thoth/Hermes), Dj-inn (a Magical Serpent Ghost) and Djedi (An Egyptian Magician).

The name Djedi was used in the famous Movie Star Wars. The Djedi are called the Skywalkers because they are able use the Power of the Serpent to move in Space/Time, the Fifth Dimension.

In other cultures the Serpent Power is called the Kundalini.

The Serpent or the Kundalini is a Tremendous Power that rests in the Spinal Chord at the place of the Sacrum, the first part of the Spine.

At this place the first Chakra, the Muladhara is situated. The Muladhara Chakra is made of the Earth Element and represents the Beginning of Life (the Chemical Soup).

When awakened and nourished, this association with the Earth element manifests itself as a Electro Magnetic Force within that person.

One of the most important secret rituals in the Cult of Osiris was called the Raising of the Djed. When you Raise Your Backbone you are opening the Path of the Serpent to let the Electro Magnetic Field of Mother Earth move you to the Fifth Dimension.

What is the Physical Explanation of the Serpent Energy?

The Earth is a huge magnetic sphere. The E/M field of the Earth varies in strength and consistency through the ages. Our bodies own magnetic frequencies and our bio-field patterns react to this variance of the Earth’s field.

The pineal gland, the Eye of Horus (or the Horn of the Unicorn), is the “clock” that controls biological cycles. The Eye of Horus stands for the sixth chakra.

The pineal gland is the principal structure in the brain that is directly sensitive to the Earth’s magnetic field.

The pineal gland produces a host of psychoactive chemicals (such as Melatonin, Dopamine, Serotonin, and others).

Its abnormal functioning may result in a variety of Physical (the Immune System), Neurological (Tremors) and Psychological (Psychosis) Problems including Mystical and Para-Normal Experiences.

Our bone structure Converts Vibrational Energy, such as sound or light, into Magnetic and Electric Energy. When the bone is bent it produces an E/M-field. This E/M-field interacts with the Pineal Gland and creates a Feed-Back Cycle.

The E/M-field of our Body, the Aura, is a combination of all kind of waves. A special type of wave-structure is called a Standing Wave.

When the E/M-field acts as a Standing Wave all the waves are in harmony and conserve structure. The Human body is in harmony when the total field of all the separate E/M-fields of the Body act as a Standing Wave.

The Standing Wave appears when the Spinal Wave of the Vertebrae of the Body is in a special Alignment. This alignment happens when the Djed is Raised.

If this happens the Standing Wave of the Spine Resonates with the Standing Wave of the Earth. At that moment the Kundalini Rises and the Pineal Gland reacts with a Huge Mystical Experience.

What was the Aim of the Djedi?

The E/M-field of the Earth is different at every place on Earth. It also changes every day because of the influence of the Moon, the Sun and other powerful fields in the Universe.

At a certain moment in Time, at a certain place on Earth and with the help of special instruments (The Pyramid of Giza, the BnBn Stone) the old Egyptian Magicians, the Djedi, imagined it would be possible to resonate with the Standing Wave of the Center of our Galaxy situated in the Pleiades.

If this happens it will generate a tremendous, almost deadly, Mystical Experience, a giant influx of the Serpent of the Galaxy (the Black Hole) also called the Phoenix (Greek) or the Bennu Bird (Egyptian).

To endure this experience the Mystical Body, the Sahu, the Resurrection Body of Osiris, the Barque of the Sekhem, has to be available. The Sahu, the Light Body, is activated when the Djedi has balanced his chakras in the middle, the Heart Chakra. To experience a mystical union with the One, the Djedi has to live from the Heart.

At that moment the Skywalker will become Immortal. He will Climb Jacobs Ladder, move through the Einstein-Rosen Bridge (Sekhem, Bindu, Wormhole) into our (Black Matter) Twin Universe, the Underworld, the Nagual, the Duat, the Daad, Heaven, the Place where the Souls Live.

This Special Alignment of the Stars, The Galactic Cross, the Return of the Galactic Serpent, is the Moment the Egyptian Djedi, the Pharaos in their Coffin, the Jews (The Coming of Christ), the Muslims (the Coming of Christ), the Christians (the Return of Christ, the Resurrection), the Mayas (the Return of Quetzalcoatl, the End of the Maya Calendar, 2012), the Hopis (the Fifth World) and many other cultures are waiting for for a very long time.

A Last Remark

The E/M-field of the Earth is at this moment heavily influenced by human activities. Especially the strong fields of the Mobile Infrastructure on Earth have a devastating impact on the harmony of the Human Body. Project yourself!

About Heliopolis and the Ben Ben Stone

About the Sahu, the Egyptian Light Body, the Body you need to Travel Time and Space

Vincent Bridges and Jay Weiner: Fulcanelli’s Final Revelation: Raising of the Djed at the End of Time

The Book the Jesus Mysteries written by Timothy Freke and Peter Gandy is a highly controversial book. It states that the person Jesus never existed.

The Concept of Christ was copied out of the very Old Mystery Religions of Persia (Mithras) and Egypt (Osiris).

The Merger of the Many Mystery Cults took place in Alexandria, the new Capital of Egypt, founded by Alexander the Great in 334 BC. The former capital of Egypt was Heliopolis.

Alexandria was the home to the largest Jewish Community in the world. They produced the Greek translation of the Hebrew Bible, the Septuagint, between the 3rd an 1st century BC.

Most of the Jewish people in Asia spoke Greek and were not able to read the original Torah anymore. The writers of the New Testament based their writing on the Greek Version. Later it was shown that this version contained many translation errors.

Alexandria was the seat of the oldest school of Christian religion in the world, the Didascalia. It was founded around AD 190 by the scholar Pantaenus, who became its first dean.

It is very likely that the texts of Old and the New Testament were highly influenced by the Religions of Persia (Mitrash) and Egypt (Osiris). The Jews spend a long time in Persia (Babylonia) and the Religion of Moses originated at Heliopolis, the Old Sacred Religious Center of Egypt.

The most important concept of Heliopolis was the Ennead (Greek Ἐννεάς) or Pesedjet (Egyptian) meaning the Nine. The Ennead consists of a grouping of nine deities, most often appearing in the context of Egyptian mythology. The group consisted of Atum, the first god, his children Shu and Tefnut, and their descendants Geb, Nut, Osiris, Isis, Set, and Nephthys.

The story of the Ennead is illustrated in the so called Pyramid Texts, the oldest religious texts on earth (2400-2300 BCE):

O Atum-Kheprer, you were high on the height, you rose up as the bnbn-stone in the Mansion of the bn-bird in On, you spat out Shu, you spit out Tefnut, and you set your arms about them as the arms of a ka-symbol, that your essence might be in them….

O you Great Pesdjet, Ennead, which is on On, namely Atum, Shu, Tefnut, Geb, Nut, Osiris, Isis, Set, and Nephthys; O children of Atum, extend his heart to his child in your name of Nine Bows. Let him be turned back from you toward Atum….

If we look closely at the Ennead it contains a very old pattern.

Atum is a Bisexual Self-Creating Entity associated with the Primal Void. Atum creates Two “children” called Shu and Tefnut. Shu was Male and associated with Space (Sky). Tefnut (Water) was the first Mother and associated with the Flow of Time.

Atum, Shu and Tefnut are the Trinity (Father, Mother, Holy Ghost (Atum)) or in the Terminology of Current Physics Strings (Space), Energy (Time) and the Singularity.

The Trinity produces Two children called Geb (Earth) and Nut (Heaven). It is very clear that Shu, Tefnut, Geb and Nut are the Four Elements of Nature.

They are constructed by combining Tefnut (Female, Yin) and Geb (Male, Yang) in Four different Ways (Yin/Yin (Tefnut, Desire)), Yang/Yang (Shu, Control), Yang/Yin (Nut, Spirit, Imagination) and Yin/Yang (Geb, Soul, Emotion)).

The next step in the process of Creation is the Eight (2x2x2). The Eight, the Ogdoad, are related to the Eight Chakras (7+1, the One, Atum) and the Seven (+1) Parallel Universes or Heavens.

The Names and the Meaning of the Four Elements are different in different occurences of Space (Culture) and Time (History) but the Concept stays the same. Some of the Cultures use Five Elements. If this happens the Fifth Element is always the Center of the Four Elements.

The Four Elements are always used to explain the Forces of Physical Nature. A well known discussion in Physics around 1900 was about the existence of the fifth Element called Ether. Einstein proved that this element did not exist because the Morrison-Morle experiments showed that the Speed of Light was not bothered by the Ether.

At this moment a growing number of Physicists believe the experiments of Morrison & Morley were wrong and the Ether (now called Zero-Point Energy) is really there.

The Elements were used in Medicine (the four Humors) and are still used in Psychology (the Archetypes of Jung). In the terminology of current Science the Elements are called the Four Forces of Nature (The Strong Force, The Weak Force, Gravity and Electro-Magnetism).

The difference between the current ideas about Nature and the old Egyptian ideas of Nature have to do with Levels and Boxes. At this moment we believe that Our Reality consists of many more or less independent Boxes that are ordered in a Hierarchical Structure.

The Old Egyptian Scientists believe in One Principle that was active on every Level. They believed in the process of Enfolding. In current terminology we could say that the Old Scientists believed in a Fractal or a Self-Referencing Universe.

Thinking in terms of Fractals and Self-Reference is very difficult when you believe in a Hierarchical Causal Structure. The Big problem with this Paradigm is that it leads to highly complex models. More important this Scientific Approach leads to a Worldview where Mind, Body, Nature, Science and Religion are completely disconnected.

The Old Scientist of Egypt used a Theory of Everything. Something Physical Science is looking for for many years. It is therefore not strange that important Physicists are using the Old Theories for Inspiration and start to believe that the Old Scientists were more advanced than we thought they were.

I believe they are Right. The only thing that is bothering us is their Language and their Metaphors. We have to spend a lot of time to Map their Universe of Discourse to ours.

To explain the last Four Deities we have to move a long way back to China.

The Nine-Fold pattern appears at the same time as the Pyramid Texts (2500 BC) in China and is represented by a Magic Square. This Magic Square was given by a Turtle (the Symbol of Orion) before the Great Deluge to a Chinese Emperor named Lo Chi.

Chi is the Chinese name for the Force of Life. According to Legend Lo Chi came from the Magical Land of Mu. Mu is the predecessor of the Lost Continent of Atlantis.

The name of the Magical Square is Shu, just like the Egyptian Deity of Control and Order.

The so called Lo-Shu Square represents a Control Cycle (called The Sheng Cycle). This Cycle was the Basic Pattern of all the Old Sciences in China. It is also a generator of Magical Tones (The Tools of Creation of Mu).

Tefnut, the Female Principle was represented in China by the Game Board. She represents Coincedence, Luck and Chaos, the Opposite of Order. The Chinese believed that the interference of the Circle of Shu and the Square of Tefnut created Synergy (Wu Wei).

A Wise Person only Acts at the Right Time and at the Right Place.

This Special Moment appears when Time and Space, Shu & Tefnut, Control and Desire, are in Perfect Balance.

The Sum of the Magical Quadrant is 15 (3×5). The Five, the Pentagle, Atum, is situated in the Middle.

The Cycle shows the Movement from the Void (0), the Point (1, Atum), the Line (1+1 = 2, Duality, Control & Desire), the Triangle (1+2=3, the Trinity), the Square (4, 2×2, the Four Forces) to the Pentangle (3+2 = 4+1 = 5, the Symbol of the Five Fold Being, the Human, the Image of God).

The Last Four Children of Atum, the numbers 6,7,8 and 9 are the Mirrors of the Four Elements.

They are Mirrors because the Sum of two Children is 10. Child 6 in the Upper Cycle corresponds with Child 4 in the Down Cycle.

The other important issue is the Rotation of the Cycle. The children rotate in a different way (Clock Wise and Anti-Clockwise).

When we combine the two rotational patterns a well-known Topological Structure appears, the Moebius Ring with the Atum in the Middle.

The Children live in the Downside of our Upside Universe called the Tuat, the Underworld.

The Four Children are responsible for the Path of Death and Reincarnation. Seth represents Destruction and Death.

Nephthys is associated with Mourning and Funerary Rituals.

Isis is the Queen of Magic. She restores the 42 parts (4+ 3×13),  the Sri Yantra) of Osiris. Osiris, the Good Shephard, represents the Nine, the End of the Cycle, The Resurrection.

The Resurrection of Osiris brings us finally back to the Story of Jezus.

The Nine-Fold Pattern of Lo Shu is also the basic pattern behind the Labyrint and the Earth Grid.

It is also the Basic Pattern of Ancient Story Telling discovered by Marie-Louise Von Franz who took over the Work of Jung (Number and Time: Reflections Leading Toward a Unification of Depth Psychology and Physics).

The First Four Deities represent the well-known Four Elements or the Four Forces (with the Void in the Middle) but the last Four Children of Atum are unknown. They are related to the Underworld, the Place where the Souls exist when they are reincarnated. There is a Physical explanation possible with far reaching consequences.

Current Physics is unable to explain the so called Dark Matter. A Huge amount of Matter in our Universe is affecting Gravity but Invisible. An explanation is the existence of Seven Mirror-Universes (7+1, 1= Atum, the One).

These Universes look like our Universe but they are equipped with a different Symmetry. During Creation the Universes took their own course.

The Four Forces of the Underworld could be associated with our Mirrors. If this theory is true the Invisible Mirror Universe is the place where the Souls exist in their period of Re-Generation.

They are able to communicate through the Void of Atum (now called a Worm-Hole) with our Universe.

The Mystery Religions are not Theoretical. They are Aimed at Experiencing the Mystery of God. The Nine-Fold pattern is about the Enfolding of the Primal Void into the many Levels (42) of the Material World. The pattern also describes a Way Back.

The first Trinity was a Union of the Opposites with the Void in the Middle. To Move Back into the Void the Human Opposites, Mind and Body, have to be united again in the Heart. If this has happened the next step is to unite the Opposites in the Material World.

This all can be summarized in a Simple Statement of the Parsi-Religion, the old Cult of Mitrash: Good Thoughts, Good Words and Good Deeds.

An Interview with Timothy Freke co-writer of the Jesus Mysteries about the Gnostic Movement

The Jesus Mysteries

The Influence of the Mystery Religions on Christianity (Martin Luther King, 1950).

Myth of Osiris and Isis

About the Bnbn Stone and the Arc of the Covenant

About the Mystical Game of Chess.

About the Magic Square of Shu and the Tones of Creation of Mu

How to Restore The Balance in A Material World

About the Nine-Fold Pattern and Story Telling

About Osiris and the Resurrection (by Vincent Bridges).

The teachings of Ancient Civilizations are often Self-Referential.

The same knowledge is showed on many levels.

What we see with our Senses is an Illusion. Behind this Illusion lies a deeper structure.

The last and deepest level of the ancient teachings is always related to Numbers, Geometry and the Trinity.

This blog is about one of the most important geometric structures of the Trinity called the Sri Yantra.

In the ancient teachings a problem is defined and the teacher gives a clue how to solve the problem.

If the pupil has solved a problem he is able to move to a deeper level.

The whole idea is that real knowledge, wisdom, is only discovered, when the pupil has solved the puzzle of life him- or herself.

Let’s have a look at a Deeper Level.

A deep level is related to a number called Phi. Phi is called the Golden Ratio or the Divine Proportion. It is the real solution of the quadratic equation x**2-x-1.

It is also a solution of the proportion a:b=b:a+b, the sequence of Fibonacci x(n+2)= x(n+1) + x(n), the geometric structure of the Pentagram, the Fifth Element (the Quintessence, the Ether) and the Logarithmic (Golden)Spiral.

Phi is the pattern behind the Egyptian Pyramids, the Stock Market, Harmony in Music and Architecture and many other fields of science including Physics.

Let us first have a look at the way the old teachers have hidden the knowledge of the Divine Proportion in their teachings.

A beautiful example is Plato.

Plato was an initiate of the Mathematikoi, the Secret Society of Pythagoras. Pythagoras was initiated in the Secrets Societies of Egypt.

What do you think of this problem-statement:

What are the most perfect bodies that can be constructed, four in number, unlike one another, but such that some can be generated out of one another by resolution? … If we can hit upon the answer to this, we have the truth concerning the generation of earth and fire and of the bodies that stand as proportionals between them (Timaeus 53e)”

and

Two things cannot be rightly put together without a Third; there must be some bond of union between them. …and the fairest bond is that which makes the most complete fusion of itself and the things which it combines, and proportion (analogia) is best adapted to effect such a union”.

and

“For whenever in any three numbers, whether cube or square, there is a mean, which is to the last term what the first term is to it, and again, when the mean is to the first term as the last term is to the mean – then the mean becoming first and last, and the first and last both becoming means, they will all of them of necessity come to be the same, and having become the same with one another will be all one [Timaeus 31b-32a]”.

In the last citation Plato is formulating a mathematical problem related to the four bodys A,B,C,D with the three proportions A:B = C:D = (A+B) : (C+D) = (C+D) : (A+B+C+D). This problem is unsolvable if you don’t have a clue where to start.

This problem is solved when you realize that the Divine Proportion has many strange relationships that are very useful to solve the puzzle.

These relationships can be found if you know everything there is to know about Triangles and Triangles are again related to the Trinity (“Two things cannot be rightly put together without a Third“).

The Trinity comes back in the structure of the Dialogues of Plato. They are divided into Three Parts (and an introduction).

The structure of the dialogues relates to itself.

The knowledge of the self-reference of the Dialogues is also a clue to solve more complicated puzzles about the Dialogues themselves.

Just like the famous book of Hofstadter (Goedel, Escher, Bach) the dialogues show a new layer everytime they are read with a new aquired Insight.

The dialogues of Plato are organized according to the model he wants to teach. There are seven layers (-1,-2,-3,0,1,2,3) related to the Seven Mirror-Universes (or Hells and Heavens) of Our Universe (Eight, the Whole) in our Multi-Universe.

The Seven is a combination of Two Trinities with the Zero (The Void) in the middle. The Eight (2**3) State is the Dialog, The Whole, itself.

The Seven layers are divided into Three Sections (the Trinity) so the total amount of clues is 7×3= 21 + 1 (the Whole) = 22.

22 divided by 7 is an approximation of the number π (Pi).

Pi relates the Square to the Circle.

The Square represents the Playing Board of the Universe. On this Board we, the Humans, play our Game of Free Will.

Our Free Will is an Illusion. We are controlled by the Matrix.

The Circle represents the Wheel of Fortune, the Matrix, that Governs the Seven Universes in our Multi-Universe and the Game of Life.

What is Plato Trying to Explain?

The Divine proportion is the basic concept behind Harmony.

The Divine Proportion is Not Symmetrical so Harmony is not related to Balance.

If everything would be balanced the Universe was never created.

Harmony is Balanced Unbalance.

An Architecture is beautiful when there is a slight unbalance in the Design.

This Unbalance shows the Sign of the Creator.

The Universe is created out of an Unbalance between Two Forces, the Positive and the Negative, the Good and the Bad.

The Two forces (-1,0,1) are divided into Four Forces (-2,-1,0,1,2) with the One in the Middle (Five) and are expanded into Seven Levels (-3,-2,-1,0,1,2,3). The Four Forces are “the most perfect bodies that can be constructed, four in number“.

The Seven Levels are related to the Circle. The Four Forces are related to the Square. The Universe oscillates between The Square and The Circle.

When the Square, the Game We Play with the Four Forces and the Circle (The Five Fold Cycle, Our Destiny) are in Balance the Human is in the Tao and Magic happens.

Every division is a split of the Trinity into Trinities until a state of Balance is reached. At that time the process reverses.

The unbalance of the Good (+1) and the Bad (-1) is an Illusion. They Cooperate to Create Harmony (0).

Behind the perceived Unbalance is a balancing principle, the Divine Proportion. This principle brings everything Back into the Balance of the One who is the Void (0).

What we don’t know is to be known if we understand the progression of the Divine Spiral.

The Future, the Third Step, is a Combination of Two Steps in the Past (The Fibonacci Sequence), nothing more.

Is there a Deeper Structure Behind the Divine Proportion?

The Four Forces (Control, Desire, Emotion(Compassion) and the Whole of the Trinity, Imagination) and the related sacred geometry were a guiding principle for the Imagination and the E-Motivation of many Western Scientists.

They tried to Control the Chaos of the Desires of the Senses by enforcing the Rules of Scientific Falsification.

The Proces of Falsification destroyed the Human Intuition.

The Western Scientists forgot to look at the Source of Intuition, the Center, the Quintessence (The Fifth, Consciousness).

The principle behind the Quintessence (Ether, Chi, Prana) is related to higher order symmetries and is a solution of a generalization of the generating function of the Divine proportion X**2 -X – 1

This generalization is X**2-pX-q or X(n+2) = pX(n+1) + qX(n). The solutions of this formula are called the Metallic Means.

When p=1 and q =1 the Divine proportion comes back again.

When the p=3 and q=1 a new sequence X**2-3X-1 or X(n+2) = 3*X(n+1) + X(n), the Bronze Mean appears.

The Bronze Mean generates the pattern: 1,1,4,13,43, the pattern of the Sri Yantra.

It shows a very beautiful pattern of “3”s when the Bronze Mean is evaluated in a Continued Fraction. The Golden Mean is a continued fraction of “1”s.

There are many more “Metallic Means” (other p’s and q’s). They are related to all kinds of symmetries and fractal patterns.

The Bronze Mean shows that behind the Trinity of the Golden Mean lies another Trinity (and another Trinity and …).

The Bronze Mean is the generator of so called QuasiCrystals.

Quasy Crystals play a very important role in the Electro Magnetic Structures of our Body, the Collagens.  Collagens are the most abundant protein in mammals,making up about 25% to 35% of the whole-body protein content. The Collagens in our body explain the Ancient Chinese Science of Acupuncture.

Quasi Crystals are “normal” Crystals with a very complex symmetry.

They are ordered AND not-ordered.

One of the most beautiful examples of the patterns behind Quasi Crystals are the Penrose Tilings.

They were developed by the famous physicist Roger Penrose. He used the tilings to show his insights about consciousness.

Penrose believes that Our Universe is just like our Body a Quasi Crystal, a Hall of Mirrors. We the Souls travel all the Paths of this Magnificent Fluent Crystal.

Was the Bronze Mean Known by the Ancient Architects?

The most important implementation of the Bronze Mean can be seen in the Sri Yantra (“Sacred Device”).

The Sri Yantra is related to the Red Triple Goddess of Creation, Tripura also named Lalita (“She Who Plays“).

The Sri Yantra is generated out of the FiveFold Pattern or Creation and the Four Forces of Destruction.

It contains  9 interlocking isoceles triangles. 4 of them point upwards and represent the female energy Shakti, while the other 5 point downwards, representing the male energy Shiva.

The standard form of the Sri Yantra  constitutes a total of 43 triangles. The centre of the Yantra has a Bindu which represents the Void.

The FiveFold Pattern of Creation moves with the Clock. A pattern that moves with the clock is a  generating pattern.

It moves away from the void and generates space. The FiveFold Pattern is the pattern of the Universe. It creates Universes, Galaxies and Planets. The Pattern moves around the Cellestial Center of Creation,  the Black Hole.

The FourFold Pattern moves Against the Clock and is a destructing pattern. It dissolves space and moves back to the void.  The FourFold pattern is the pattern of the Human Being and Earth.

The combination of both patterns is a Moebius Ring (the symbol of infinity) with the celestial Centre in the Middle. The FiveFold/Four Fold pattern resembles the Ninefold Egypian Pesedjet and the Ninefold Chinese Lo Shu Magic Square.

From the fivefold Shakti comes creation and from the fourfold Fire dissolution. The sexual union of five Shaktis and four Fires causes the chakra to evolve” (Yogini Hridaya (Heart of the Yogini Tantra)).

In Pakistan the Mother Goddess (Sharika) is represented by a diagram that contains “one central basic point that represents the core of the whole cosmos; 3 circles around it and 4 gates to enter, with 43 triangles shaping the corners“.

The Penrose Tilings and many other quasi crystals can also be found in Ancient Roman, Islamic and Christian Architecture (Pompei, Alhambra, Taj Mahal, Chartres). The tilings are an expression of the Game of Life and wer used to build Educational Buildings (Pyramids, Cathedrals,..) to teach and show the old teaching

Kepler (1570-1640), a German Mathematician and Astronomer (The Cosmographic Mystery) and Albrecht Durer (1471-1528), a German Painter, knew about the Penrose Tilings but until the discovery of the Penrose Tilings nobody knew that they knew.

The new scientists (re)discovered old patterns that were known by the old scientist

What is the Meaning of the Bronze Mean?

The Bronze Mean shows the effect of a continuous division of the Universe in Trinities.

It shows that the Universe (and other levels) is suddenly moving from an ordered state to a chaotic state.

This chaotic, not predictable, state is not chaotic at all when you understand the patterns behind chaos.

In our Universe chaos is always ordered. Chaos is an effect of something that is happening in a higher (not Sensible) Dimension or A Higher Consciousness.

The writer of an important article about Penrose Tilings and Islamic Art, Paul Steinhardt is like Roger Penrose a well known physicist.

He has created a new theory about the Universe based on Four Forces AND the Quintessence.

In this theory the Universe is Cyclic. It is expanding and contracting.

The expansion of the Universe ends when the Two Major Structures (-1,0, 1) in the Universe, called Membranes or Branes, are in Balance with the Center (0, the Void).

The membranes are higher dimensional Squares that are in parallel.

The Braines at both sides split into many similar cell-like structures. We live in one of the Cells of the Universe.

The Others, our Twins, live on the other membranes and are not aware of our existence until the Brains are getting into Balance.

At that moment the Twin Universes are Connected.

Scientists don’t know when this will happen but the Old Scientists who could travel the Multi-Universe with their United Brains knew.

It would happen at a very special Alignment of the Five Fold Center of Creation of the Milky Way with the FourFold Cross of the Destruction of Earth.

The Bronze mean is the Master-Pattern of our Multi-Universe.

The pattern 1,1,4,13,43 is in its 42nd enfolding and soon we will experience the 43th step, a Merge of the Left and the Right Brain of the Super Conscioussness, Adam Kadmon.

How to Raise the Djed

About the Nine-Fold Pattern of the Egyptian Pesedjed

Everything you want to know about the Divine Proportion

About The Indefinite Dyad and the Golden Section: Uncovering Plato’s Second Principle

About the Self-Referential Structure of the Dialogues of Plato

About the Law of Three of Gurdjieff

Paul Steinhardt, About Penrose Tilings and Ancient Islamic Art

About Penrose Tilings and the Alhambra

About the Geometric Patterns in Ancient Structures

An interview with Roger Penrose about the relationship between Conscioussness and Tilings

A lot of information (including simulations) about the Cyclic Universe of Paul Steinhardt

A simple model for the formation of a complex organism

How life emerged out of one Quasy Crystal

About Quasy Crystals and Sacred Geometry

The First Computer Failed because of its Complex Number System

The first fully programmable computer was Designed by Charles Babbage in 1837. Babbage failed to get enough money to Build his Analytical Engine. It was never build.

The failure of Charles Babbage delayed the creation of the current computer for about a 100 years.

Nobody knows that Thomas Fowler Designed and Implemented a completely different and simple wooden computer in 1840. The big difference between Babbage and Fowler was the Number System. Babbage used Base 10. Fowler used the Balanced Ternary Number System.

The balanced ternary number system is created by balancing Ternary (Base 3) Numbers around the Centre of the Number Line, 0. A balanced ternary number is a combination of negative and positive ternary numbers.

The balanced ternary number system is a very special Number System because all the basic mathematical operations, addition, subtracting, multiplication and division are accomplished by the application of very simple operations based on very special symmetries.

Symmetries are the foundation of Simplicity, Beauty and Elegance. The Engine of Fowler was a very simple and beautiful machine made out of wood.

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In 1958 a Ternary Computer, the Setun, was build at the Moscow State University. It was never used.

When you want to represent a number you can start with base 1. The number 13 is represented by thirteen “1’s, “1111111111111”.

Of course you are free to use other symbols to represent the number “1”. When you want to represent 13 goats you could use 13 goat-like symbols. When you want to represent many goats the sequence of goat-like symbols becomes very long.

The next step is to group the goat-like numbers. You could group them in binary groups (11 11 11 11 11 11 1), ternary groups (111 111 111 111 1) or in every other group you want.

In every case you have to assign new symbols like “1” → “-“, “11”→ “=” and “111” → “≡”. The number 13 becomes “≡ ≡ ≡ ≡ -“.

When you have defined a grouping method you can repeat this method. The only thing you need is a new symbol “x” to represent repetition, a symbol that represents addition “+”, a rule how to read the sequence (left to right, right to left) and symbols (“(,”)”) that show what has to be combined. ≡ x (≡) + ≡ + – now means 3X3 + 3 + 1 = 13 (and not 3x(3+1 +1) = 21).

If you want to use a high base number you need many symbols to represent the numbers of the group. If you use a low base number you need many symbols to represent the repetition. An obvious strategy is to minimize the product of these two quantities. The result of this calculation is the number 3 (or better the number e)!

The number 3 is the most efficient way to represent numbers. There is much more to say about the properties of the number 3. One of these properties can be used in Databases and Storage systems.

A Balanced Ternary Storage system can be easily expanded because you can always add a new entrance in the middle. The Balanced Ternary Storage System (represented by the Arabic Mystical Lote Tree) is one of the simplest and efficient storing methods of data.

What is the Reason behind the Blog

I am writing this blog because I have spent a lot of time to research the Scientific and Spiritual Trinity. The mathematical and the spiritual theory about the Trinity have a lot in common.

The Trinity or the Ternary Number System is the most efficient, most effective and most beautiful (in terms of symmetries) way to Represent, Calculate and Store Numbers. The Trinity is therefore the most effective Way to Represent the Fractal Expansion of the Dynamic Whole.

What Happened?

The beginning of the Universe is a transformation of the Void (Ø) into the Nothing (0).

In the next step,  the Egg of the 0 became the One (1) that splitted into the Duality (2) to become Aware of Itself.

In this case the first sequence of creation becomes Ø,0,1,2.

When we rewrite this sentence in balanced ternary language we read something else. In this case the beginning of the Universe is an expansion of the Void (0) into a negative (-1) and a positive part (1). The first sequence of creation becomes Ø (zero members of the set), (-1,0,1)(3 members of the set).

In the ternary balanced language the next expansion of the Universe is created by expanding the negative and positive part of the Universe in the Middle. A new expansion is created by adding the same structure in the Middle of the Middle of the Middle.

 1 Ø 2 -1 0 1 -1 0 1 -1 0 1 3 -2 -1 -0 0 +0 1 2

This expansion moves on until the system has replicated itself. At that time the expansion moves faster and faster and faster. The Self-Referencing System of the Universe, the “Divine Fractal“, is unfolding itself at an ever increasing (logaritmic) speed in a spiraling spiral pattern creating many more (negative and positive) Numbers.

At a certain point the Negative and Positive numbers are Voided in the Zero and the Universe starts to expand again.

The unfolding creates many universes and one of these Universes is our own Universe. All the time the center, the 0, the Void, stayed at the middle.

At this moment the lowest level, our level, is almost finished and a new Evolution, a Jump to a new Level, has to start. This Jump will be a Jump out of the middle, the Heart Chakra.

Is this Explanation too Simple?

This explanation is much too simple because the whole creation process is now projected into one dimension, a Line,  and we are looking at the third step of the Fourty-Two (3×13 +4) Steps that have happened until now.

Every split of the universe creates a new dimension. The splitted parts of the Universe, the balanced ternary trees, are Rotating Structures that contain Rotating Structures.

They look like the image of the rotating World Clock of Wolfgang Pauli that is carried by the Raven (the Trickster, the Demiurg), the Four Beasts in the Vision of Ezekiel and the Sri Yantra.

The other complication is that the Universe is creating its own Space and is therefore closed in itself. There is no Outside of the Universe. We are not living Inside an expanding Balloon but are travelling the Inside Surface.

When the Universe has expanded for a very long time the many dimensions are still there but they show themselves in very complicated Topological Structures like (Celtic) Knots, connected Moebius Rings, the Symbol of Infinity and the Klein Bottle, the Basic Structure behind Alchemy.

It is simply impossible to show and understand the current complexity. The only thing that is very helpful is to realize that the structure behind  the Universe is a Fractal.

This means that that at every level the same structure repeats itself. When you know everything there is to know about One Level you know every thing there is to know about Every Level.

If You understand the Human Being, You understand the Universe.  This principle was called by the Ancient Scientists, “So Above, So Below” and “As Within, So Without”.

The Balanced Ternary Number System or the Trinity that contains the Trinity can be used to explain Your Self.

It can be used to explain the “strange” behavior of the Brain Trinity, a combination of a Whole, the Body, A Left and a Right Brain. The “Trinity Pattern” repeats itself in every part of your body.

The pattern of Seven (The Trinity in the Trinity) shows itself as the Seven Chakra’s. The next step, the Thirteen (3×4 +1 = 13),  shows itself in the Twelve Signs of the Zodiac (+ the Center, the Pole Star), the Twelve Apostles (+ Jesus) and the Twelve Knight of Arthur (+Arthur).

The Expansion of this pattern on a much deeper level also generates the  Acupuncture Points (Nadi’s) in Your Body.

Why is Science not Aware of this?

The main reason can be found in the story of Thomas Fowler. He invented a Very Simple computer system but he was beaten by the Complicated system of Charles Babbage.

Babbage used the 10 base to define his Engine and he needed lots of money to create this very complicated system. He never finished his analytical engine but many years later IBM almost copied his design when they developed the IBM 360. They were, like Microsoft, experts in Marketing. They sold what the Customer wanted to buy and never took time to think about the Essence.

Thomas Fowler was a very simple man. He tried to do his best and was never aware of the power structures that controlled science and the market at that time. He wanted to help people but helping people is the stupidest thing you can do in a capitalistic system.

When an infrastructure is chosen it is almost impossible to change the infrastructure because everything that is build on top of this infrastructure becomes obsolete when the foundation is wrong. We will never be able to introduce a ternary computer infrastructure unless something happens that breaks the upper layer. Some people think this time is near.

Simplicity, Elegance, Beauty and Efficiency are not the main object of Capitalism. The main object of Capitalism is Making Profit.

What is the best Way to acquire Scientific Knowledge?

Thomas Fowler was not educated in the science of his time. He just invented the mathematics he needed. When he was educated in the science of his time he could have invented the same machine but it is much more plausible that he would have invented another Analytical Engine.

Thomas Fowler used his own judgment and his own talent to create something he thought was useful to support his own banking system (he also created a Bank!).

The Balanced Ternary Database of the Universe was called the Akasha. According to the Ancient Scientists of India every memory of the past and the future is stored in the Universe. They believed we are part of a Super Mind and this Mind knows everything that has happened or will happen.

Some people are suddenly connected to this Super Mind. They are Enlightened and find a solution for a very complicated problem in a Dream or a Trance State.

One of the most important scientists of our time, Wolfgang Pauli, found everything he wanted to know in the Akasha. There are many others like Walter Russell (The Secret of Light) and Malcolm McEwen (The Lesson of the Light).

Strangely enough all of them receive or have received the same information.

What is going to happen?

The expansion of our Universe is getting into a critical state. This state is visible in all the fractal levels of our Universe.

It is visible in the Weather System, The Ecological System, The Economic System and the Cultural System. All of them are changing.

It is also visible in many Human Beings who experience the intervention of the Super-Mind in their Lives.

The big transformation must be visible in the Seven, until now not-connected universes. The other universes are currently shielded behind a Veil but this veil is slowly lifting. The movement of the Veil could explain the huge increase of Strange Encounters with Extraterrestials.

Our universe has been expanding and but very soon it will or may appear to stop. Our Universe may even begin to appear to shrink but it is not because it is reversing, heading towards some kind of big crunch but because it is folding, connecting to Itself, the Super Mind.

In the first stages of the Universe the Light was created but now we are entering a new phase where the consciousness of the Super Mind, is opening up to all the inhabitants of all the Seven Universes.

The opening of the Super Mind to all the Souls of the Universe has been named with many names in many religions all over the World (Ascension, the Golden Age, Point Omega, The Last Judgment, the Fifth World, The End of Time).

It is not clear what the connection with the Super Mind will accomplish. Many inspired scientists and prophets have tried to describe and explain this state.

One thing is sure it will be very different from the current situation where we are all isolated souls existing in many disconnected time-lines in many disconnected universes.

Why the number e is the best base for a modular system

Many Properties of Ternary Numbers

Many Properties of the Balance Ternary Number

Why the Balanced Ternary Numbers are Special

A Visualization of the Trinity Pattern with the Platonic Solids

The 4 Videos of Malcolm McEwen below contain a Visualization of the Trinity Pattern

McEwen, Video, The Lesson of the Light, Nr 1

McEwen, The Lesson of the Light, Video, Nr 2

McEwen, The Lesson of the Light, Video, Nr 3

About Plato and the New Harmony

About the Expansion of the Whole

How to Divide the Whole

About the Hermetic Principle (“As Above, So Below”).

About the Book of Triangels of St. Germain

The beauty of our Universe is highly related to what mathematicians call symmetry. A structure is symmetric when it is possible to find a function that maps the structure unto itself.

A simple example is mirror-symmetry. In this case the structure looks the same when it is reflected in a mirror. Another example is rotational symmetry. The structure returns when it is rotated.

The symmetries can be combined to create more complex symmetries. For more than a century mathematicians are trying to create a periodic table of elements of all the possible symmetries called symmetry groups.

The “classification theorem” of such groups, also known as the “enormous theorem” (requiring over 15,000 pages to “prove”), states that the periodic table can be classified completely into 5 groups.

In two dimensions the symmetry-group contains 17 types of symmetrical transformations. All of them are visible around the walls of the Alhambra.

One of the five groups is made up of exceptions to the regularity of the others. These exceptional sub-groups are known as sporadic groups.

Attention has long been focused on these 26 exceptional sporadic groups. The largest of these, incorporating 20 of the others, has been named the Monster — the most exceptional finite symmetry group in mathematics.

It is a giant (hyper)Diamond in 196,884 dimensions composed of more elements than there are supposedly to be elementary particles in the universe (approx. 8 x 10**53).

The Monster is something special but what makes the Monster spectacular is that it showed a strange connection (called Moonshine) with a very different part of Mathematics called Number Theory.

Mathematics and especially Number- and Group theory are very hard to understand even for mathematicians. It is a very special specialization.

Number Theory was one of the most important issues in the Mystical Schools of the Old Scientists.

Pythagorus and of course the mystics in the East were very interested in the patterns behind the Beauty of the Universe. Number was the unifying concept necessary for understanding everything from planetary motion to musical harmony.

They believed the Universe was based on integer numbers (1,2,3,..) and the Monster shows that this could be the case.

One of the magic numbers that would have exited Pythagoras is 24. It is a magic number because the sum of the square-roots of all the numbers 1 to 24 is equal to the square of 70.

The sequence of 1 to 24 is part of a 26-dimensional Lorenz-space that is highly connected to the monster and moonshine. A Lorenz-space is an extension of the space Einstein used called Minskowski space. This space connects space with time. The Monster suggests that we could live in a space of 24 dimensions instead of 3.

The interpretation of all this in normal language can be found by the relationship of the Monster to a special surface called the Leech Lattice. The Leech Lattice is created when we package spheres.

The Leech Lattice has the highest Kissing Number. This number is 12 in 3 dimensions. In the third dimensions we are able to package spheres that touch other spheres at 12 places.

The Monster connected by Moonshine to Physics (String Theory) shows that our Universe consists of an enormous amount of Bubbles called Quantum Foam. We live in the Universe where the bubbles are touching with the highest kissing number possible.