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Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) fromN-dimensional hypercomplex numbers (N a power of 2, at least 4) can representsingularities and, as N approaches infinite, fractals -- and thereby,scale-freenetworks. Any integer greater than 8 and not a power of 2 generates ameta-fractal or "Sky" when it is interpreted as the "strut constant" (S) of anensemble of octahedral vertex figures called "Box-Kites" (the fundamentalbuilding blocks of ZDs). Remarkably simple bit-manipulation rules or "recipes"provide tools for transforming one fractal genus into others within the contextof Wolfram's Class 4 complexity.

Placeholder Substructures III: A Bit-String-Driven ''Recipe Theory'' for Infinite-Dimensional Zero-Divisor Spaces