The Quaternion Group as a Symmetry Group

Year: 2014 Authors: Vi Hart; Henry Segerman

Core claim

Q8 had not previously been represented as a physical symmetry group, and the authors present a sculpture strategy intended to realize it.

Topics

group symmetry, physical sculpture, hypercube projection, 4-dimensional geometry

Domains

group theory, quaternion group, symmetry groups, 4-dimensional geometry, sculpture, kinetic or geometric art, computational design, 3D printing

Methods

formal definition, intuitive visualization, stereographic projection, hypercube decomposition

Media

decorated cubes, monkey sculpture, unit sphere in 4D, 3D print

Source status

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