Article
Version 1
This version is not peer-reviewed
The Symmetry Group of the Grand Antiprism
Version 1
: Received: 1 August 2024 / Approved: 2 August 2024 / Online: 2 August 2024 (10:31:47 CEST)
How to cite: Monson, B. The Symmetry Group of the Grand Antiprism. Preprints 2024, 2024080116. https://doi.org/10.20944/preprints202408.0116.v1 Monson, B. The Symmetry Group of the Grand Antiprism. Preprints 2024, 2024080116. https://doi.org/10.20944/preprints202408.0116.v1
Abstract
The grand antiprism A is an outlier among the uniform 4-polytopes, since it is not obtainable from Wythoff’s construction. Its symmetry group G(A) has been incorrectly described as [[10,2+,10]] or even as an `ionic diminished Coxeter group’. In fact, G(A) is another group of order 400, namely the group ±[D10×D10]·2, in the notation of Conway and Smith.
Keywords
uniform polytopes; 600-cell; grand antiprism
Subject
Computer Science and Mathematics, Geometry and Topology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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