Placeholder Substructures II: Meta-Fractals, Made of Box-Kites, Fill Infinite-Dimensional Skies
نویسنده
چکیده
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
منابع مشابه
Placeholder Substructures I: The Road from NKS to Scale-Free Networks is Paved with Zero-Divisors
Zero-divisors (ZDs) derived by the Cayley–Dickson process (CDP) from N-dimensional 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 metafractal or sky when it is interpreted as the strut constant (S) of an ensemble of octahedral vertex figures called box-kites ...
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