占位符子结构III：位串驱动的Infinite-Dimensional零因子空间的“配方理论”
Placeholder Substructures III: A Bit-String-Driven ''Recipe Theory'' for Infinite-Dimensional Zero-Divisor Spaces
摘要：
由Cayley-Dickson过程（CDP）从N维超复数（N是2的幂，至少是4）导出的零因子（ZD）可以表示奇点，当N接近无穷大时，可以表示分形，从而表示无标度网络。任何大于大于8且不是2的幂的整数，当它被解释为被称为“盒风筝”（ZD的基本构建块）的八面体顶点图形的集合的“支柱常数”（S）时，都会生成元分形或“天空”。非常简单的位操作规则或“配方”提供了在Wolfram的Class 4复杂性的上下文中将一个分形属转换为其他分形属的工具。
英文摘要：
Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from N-dimensional hypercomplex numbers (N a power of 2, at least 4) can represent singularities and, as N approaches infinite, fractals -- and thereby,scale-free networks. Any integer greater than 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 building blocks of ZDs). Remarkably simple bit-manipulation rules or "recipes" provide tools for transforming one fractal genus into others within the context of Wolfram's Class 4 complexity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
