On Infinite Kepler-Poinsot Polyhedra

Year: 2017 Authors: Dirk Huylebrouck

Core claim

New infinite Kepler-Poinsot-type polyhedra exist in several symmetry classes, and the generalized Euler-Cayley formula applies in most but not all cases.

Topics

infinite polyhedra, Kepler-Poinsot solids, Euler-Cayley formula, polyhedral symmetry, artistic visualization

Domains

polyhedra, graph and surface topology, symmetry groups, Euler characteristic, mathematical art, geometric visualization, architectural geometry

Methods

polyhedral construction, symmetry case analysis, face-edge-vertex counting, formula verification

Media

open polyhedra, compound models, figure illustrations, star polygons

Source status

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