OrbiFold and Cut

Year: 2013 Authors: Vi Hart

Core claim

Paper and beach-ball folding can serve as hands-on models for planar, frieze, wallpaper, and spherical symmetry groups, including prime and polyhedral cases.

Topics

orbifolds, symmetry groups, sphereflakes, frieze patterns, wallpaper patterns

Domains

group theory, geometry, combinatorics, spherical geometry, paper craft, kinetic sculpture, symmetry art, visualization

Methods

folding, cutting, marking symmetry lines, paper fan folding, beach-ball modeling

Media

paper, beachballs, scissors, craft knives, whiteboard markers

Source status

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