Pretty 3D Polygons: Exploration and Proofs

Year: 2021 Authors: Melissa van Veenendaal; Tom Verhoeff

Core claim

Pretty 3D polygons with equal edge lengths, angles, and torsion exist in infinite and sporadic families, including reflection-symmetric cases.

Topics

3D polygons, torsion angles, symmetry, skew polygons

Domains

geometry, topology, group symmetry, mathematical art, sculptural design, geometric form

Methods

3D turtle geometry, constructive proof, symmetry analysis, example generation

Media

round beams, miter joints, wood, bronze

Source status

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