论文标题
使用Wythoff的构造对普通的多面体和多面体进行分类
Classifying Regular Polyhedra and Polytopes using Wythoff's Construction
论文作者
论文摘要
Wythoff的构造将统一的多层人士与Coxeter图相关联，其顶点用十字装饰，这表明亚组稳定了一个通用点。香槟，Kjiri，Patera和Sharp指出，通过将更多信息与Coxeter图相关联，可以确定这种多层人士的面孔的类型和数量。本文提供了此结果的证明，并使用它来提供常规多型的分类。
Wythoff's construction associates a uniform polytope to a Coxeter diagram whose vertices are decorated with crosses, which indicate the subgroup stabilizing a generic point. Champagne, Kjiri, Patera, and Sharp remarked that by associating more information to a Coxeter diagram, one can furthermore determine the types and number of faces of such a polytope. This article provides a proof of this result, and uses it to provide a classification of the regular polytopes.
