Bit-String-Driven “Recipe Theory” for Infinite-Dimensional Zero-Divisor Spaces

Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from Ndimensional hypercomplex numbers (N a power of 2, and at least 4) can represent singularities and, as N → ∞, fractals – and thereby, scale-free networks. Any integer > 8 and not a power of 2 generates a meta-fractal or Sky when it is interpreted as the strut constant (S) of an ensemble of octahedral vertex figures called Box-Kites (the fundamental ZD building blocks). Remarkably simple bit-manipulation rules or recipes provide tools for transforming one fractal genus into others within the context of Wolfram’s Class