Obtaining the H and T Honeycomb from a Cross-Section of the 16-cell Honeycomb

Year: 2017 Authors: Hideki Tsuiki

Core claim

The H and T honeycomb is “almost” a cross-section of the 16-cell honeycomb, differing only by a shrinking factor of √3/2.

Topics

honeycombs, cross-sections, imaginary cubes, 4D geometry, lattice tilings

Domains

polyhedral geometry, tessellations, 4-dimensional geometry, cross-polytopes, lattice theory, geometric visualization, mathematical art, polyhedral forms

Methods

lattice construction, cross-section analysis, geometric comparison, scaling transform

Media

3D polyhedra, 4D honeycomb, cubic lattice, figures

Source status

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