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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.