Hendecagonal Near-miss Polyhedral Cages

Year: 2019 Authors: Jonathan G. Heddle; Agnieszka Kowalczyk; Bernard M. A. G. Piette

Core claim

Several new hendecagonal polyhedral cages can be constructed as near-miss or exact structures by controlling edge and angle distortions.

Topics

polyhedral cages, near-miss Johnson solids, hendecagons, spherical arrangements, symmetry

Domains

polyhedra, combinatorial geometry, topology, spherical point distributions, design, artwork, visualization, biotechnology

Methods

combinatorial labeling, geometric optimization, Metropolis algorithm, distortion measurement

Media

planar regular polygons, Antiprism Polyhedron Modelling Software

Source status

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