广义立方体的局部球面超位

Q3 Mathematics

Art of Discrete and Applied Mathematics Pub Date : 2020-01-29 DOI:10.26493/2590-9770.1354.B40

Antonio Montero, A. I. Weiss

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引用次数: 2

摘要

我们证明了每一个非简并正则多面体都可以用来构造一个薄的、残差连接的、腔室传递的关联几何，即一个具有尾三角形Coxeter图的正则超多面体。我们讨论了将这种构造应用于广义多维数据集时得到的几个有趣的例子。特别地，我们给出了一个双曲型的阶$5$有限局部球面真超体的例子。

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Locally spherical hypertopes from generalised cubes

We show that every non-degenerate regular polytope can be used to construct a thin, residually-connected, chamber-transitive incidence geometry, i.e. a regular hypertope, with a tail-triangle Coxeter diagram. We discuss several interesting examples derived when this construction is applied to generalised cubes. In particular, we produce an example of a rank $5$ finite locally spherical proper hypertope of hyperbolic type.

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来源期刊

Art of Discrete and Applied Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

0.90

自引率

0.00%

发文量