Preprint Article Version 1 This version is not peer-reviewed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

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