Introducing the Kasparian Constructions

Year: 2017 Authors: Raffi J. Kasparian; Alice E. Petillo

Core claim

Relaxing the single-pass surface condition yields new degenerate polyhedral constructions beyond known uniform polyhedra.

Topics

polyhedral constructions, uniform polyhedra, geometric algorithms, surface traversal

Domains

geometry, polyhedral combinatorics, 3-D construction, mathematical visualization, computational design, geometry education

Methods

exploratory 3-D software, iterative corner propagation, signature-based construction

Media

Archimedean 2.0 software, screenshots, polyhedral models

Source status

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