Menger-Slice Inspired Fractals based on the Pentagon, Dodecahedron, and 120-Cell

Year: 2024 Authors: Rob Hocking

Core claim

A Menger-slice-like closed fractal family can be adapted from pentagons to dodecahedra and 120-cells, though the pentagonal case requires trade-offs and has no unique best construction.

Topics

fractal geometry, polyhedral generalization, 3D printing, closed fractal families

Domains

iterated function systems, self-similar geometry, polyhedra, higher-dimensional geometry, mathematical art, generative design, 3D printed objects, decorative objects

Methods

recursive substitution, geometric decomposition, tie-breaking overlap rules, 3D printing

Media

pentagon, pentagram, dodecahedron, 120-cell, brass-plated plastic

Source status

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