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About Perspective

Introduction When we Look with our Eyes and not with our Mind we can See that Space looks very different from what we Think it is. In Our Space Parallel Lines meet at Infinity. Around 1400 during the Renaissance Painters started to look at Space with their own Eyes and discovered the Rules of Perspective Drawing. Between 1600-1800 Perspective Theory changed from a Theory of Art to a Theory of Mathematics called Projective Geometry. It took 400 Years before a few Mathematicians realized that Projective Geometry was the Foundation of Mathematics and it took another 100 years before Projective Geometry started to … Continue reading About Perspective

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About Number and Magnitude

We have lost the relationship between Number and Form or Number and Magnitude as the Ancient Greeks called their Forms. A few years ago a Revolution in Mathematics and Physics has started. This revolution is caused by Geometric Algebra. In Geometric Algebra the Ancient Theories of Euclid and Pythagoras are reevaluated. Numbers are Scalar (Quantum) Movements of Geometric Patterns and not Static Symbols of Abstractions that have nothing to do with our Reality. Movements and not Forces are the Essence of Physics. The basic rule Movement = Space/Time (v=s/t) shows that  Time and Space are two Reciprocal 3D-Spaces. Our Senses … Continue reading About Number and Magnitude

About the Law of KLeiber

A power law relates one variable to another raised to a constant power. The general form takes y = xa, where y and x are variables, and a is a constant exponent. A power law exhibits the property of scale invariance. When you multiply the Scale (x) with a factor b the function (y =  baxa) does not change its Shape. In 1817 Goethe wrote his book ”Zur Morphologie“. This book was the start of a new science called Morphology, the Science of the Shapes. In his book Goethe describes the so called Uhrplant, the Primal Plant, which is based on … Continue reading About the Law of KLeiber

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About Morphology or How Alan Turing Made the Dream of Goethe Come True

The Ancient Greeks believed that the images of waking life and dreams came from the same source, Morpheus (Μορφέας, Μορφεύς), “He who Shapes“. The Science of the Shapes, Morphology, was created and named by Goethe in his botanical writings (“Zur Morphologie“, 1817). Goethe used comparative anatomical methods, to discover a primal plant form that would contain all the others-the Urpflanze. Goethe being a Romantic Idealist hoped that Morphology would Unify Science and Art. “The Primal Plant is going to be the strangest creature in the world, which Nature herself shall envy me. With this model and the key to it, … Continue reading About Morphology or How Alan Turing Made the Dream of Goethe Come True