关于具有~可解自同构群的\{4,4，…，4\}型手性多面体的更多研究

Pub Date : 2023-06-27 DOI:10.1515/jgth-2022-0124

Wei-Juan Zhang

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引用次数: 0

摘要

在2021年的一篇论文中，Conder等人构造了两个具有可解自同构群的无穷型{4,4,4}\{4,4,4\}手性4-多面体族。本文给出了类型为{4,4，…，4}\{4,4，\dots,4\}，秩为4,5和6的手性多面体的一般构造，得到了唯一紧正多面体的布尔覆盖。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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More on chiral polytopes of type \{4, 4, …, 4\} with~solvable automorphism groups

Abstract In a 2021 paper, Conder et al. constructed two infinite families of chiral 4-polytopes of type { 4 , 4 , 4 } \{4,4,4\} with solvable automorphism groups. Here we present a general construction for chiral polytopes of type { 4 , 4 , … , 4 } \{4,4,\dots,4\} with rank 4, 5 and 6, which are obtained as Boolean covers of the unique tight regular polytope of the same type.

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