Real Magick in Theory and Practise
Believed to be the most geometrically complex and aesthetically beautiful structure in mathematics, the 4_21 polytope is the algebraic form at the centre of a universal theory of everything. Originally described in the late 19th century, 4_21 models all interactions and transformations between known and postulated sub-atomic particles. It is the 21st century equivalent of the proto-scientific art of alchemy – where the transmutation of elements was the most elusive mystery of the universe. The theory is an attempt to reconcile one of the fundamental unsolved problems in physics: unify quantum physics and gravitation in hopes of ultimately explaining the fabric of the universe.
4_21, commonly referred to as E8 since the vectors of its root system lie in eight-dimensional Euclidean space, models field dynamics and elementary particle transformations through pure geometry. As such, the method of its elucidation and comprehension is decidedly form-oriented in nature – one has to visualise the math to understand how it functions. Its subsumed dimension within dimension, within dimension structure creates a staggeringly complex 248 symmetry lattice that predicts all known particles and forces in the universe as it twists and folds in spacetime.
The rendering presented here is the most geometrically accurate visualisation of the 4_21 polytope to date. Previous attempts to render the structure were limited by the inability of graphics engines to construct even simple shapes such as perfect circles. Real Magick... was hand drawn in Illustrator to an accuracy of 1/10,000 of a millimeter.
Special thanks to Dr. John Stembridge for his valuable input.