Transforming Some Infinite Polyhedra

Year: 2002 Authors: Paul Gailiunas

Core claim

Symmetry-preserving duals of infinite polyhedra can be transformed continuously, producing families whose limiting cases become finite space-filling polyhedra.

Topics

infinite polyhedra, duality, space-filling, continuous deformation

Domains

polyhedral geometry, symmetry, dualization, periodic tilings, geometric visualization, computational graphics, VRML animation

Methods

geometric analysis, symmetry arguments, polar reciprocation, computer-generated diagrams

Media

BASIC, PolyDraw, VRML

Source status

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