Green Quaternions, Tenacious Symmetry, and Octahedral Zome

Year: 2006 Authors: David A. Richter; Scott Vorthmann

Core claim

A new octahedral zoning system and an infinite family of related systems arise naturally from quaternionic and group-theoretic structure, with some H4 symmetry surviving 3D projection.

Topics

octahedral symmetry, quaternionic geometry, projection of polychora, zoning systems

Domains

group theory, 4-dimensional geometry, quaternions, polytope theory, mathematical visualization, modelling systems, geometric design, computational art

Methods

3D projection, stereo rendering, vZome modeling, symmetry analysis

Media

Zome struts, connector balls, vZome software, 3D projections

Source status

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