Portraits of Groups in Three Dimensions

Year: 2012 Authors: Jay Zimmerman; Kevin Zimmerman

Core claim

A quotient of a full quadrilateral group can model the elementary abelian group Z_2^3 as movable tetrahedral boundary sculptures.

Topics

group portraits, three-dimensional transformations, tetrahedral sculptures, boundary dynamics

Domains

group theory, finite groups, 3-manifolds, geometric transformations, sculpture, polyhedral design, visual art, installation concept

Methods

tetrahedral cell decomposition, quotient construction, permutation representation, projection

Media

tetrahedra, colored faces, Magma, 3D projections

Source status

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