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The provided sources outline David Sioridze’s "Fractal Tree of Primes," a mathematical framework that redefines number theory through a binary-ternary axiomatic base. In this system, every digit is a pair of indices from the set {2,3} that always sum to five, intentionally eliminating zero to minimize entropy. Natural numbers are visualized as nodes within a tetrahedral structure, where they are generated iteratively through the summation of triplets. Prime numbers are uniquely identified not by divisibility, but as topological defects—unreachable nodes that cannot be formed by previous sums and thus expand the system's basis. This Discrete Phase Arithmetic transitions from a core "seed" of primes into a self-generating fractal tree, preserving a unique historical "passport" for every value created. The documentation includes Python scripts designed to simulate and visualize this growth, presenting mathematics as a dynamic, living geometry.