Quadruple Tetrahedron Surface Tilings

Year: 2021 Authors: Wei-Chun Chang; Chih-Hung Yen

Core claim

Any net of a regular tetrahedron can be transformed into a larger surface tiling by repeated quadrupling using the hexagram floor construction.

Topics

tetrahedron nets, surface tilings, hexagram floor, quadrupling, artistic diagrams

Domains

geometry, tessellations, polyhedra, mathematical induction, artistic design, pattern making, paper folding, visual geometry

Methods

plane diagram construction, coloring on triangular grid, translation and rotation moves, iterative quadrupling

Media

printed paper, triangle grid, black-and-white diagrams

Source status

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