Wallpaper Patterns from Nonplanar Chain Mail Links

Year: 2020 Authors: Frank A. Farris

Core claim

A small nonplanar wiggle in identical linked rings enables a wide variety of periodic chain mail patterns with prescribed symmetry.

Topics

periodic chain mail, wallpaper symmetry, Fourier series, 3D printing

Domains

Fourier series, rotational symmetry, wallpaper groups, layer groups, mathematical craft, parametric design, 3D modeling, surface covering

Methods

Fourier-parameterized curves, translation lattices, empirical self-avoidance testing, Grasshopper modeling

Media

3D-printed rings, Rhino, Grasshopper, virtual renderings

Source status

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