Three-Dimensional Diagonal Cross-Sections of Four-Dimensional Menger Sponges

Year: 2023 Authors: Rob Hocking

Core claim

Specific hyperplane sections of two 4D generalized Menger sponges yield structured 3D fractals with analyzable symmetries and fractal-art applications.

Topics

4D Menger sponges, diagonal cross-sections, fractal art, symmetry analysis

Domains

fractal geometry, higher-dimensional geometry, topology, hyperplane sections, fractal art, 3D printing, glass etching, sculptural design

Methods

base-3 coordinate characterization, hyperplane slicing, analytical proof, computer rendering

Media

glass, precious metals, steel, 3D printed models

Source status

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