Bourret Emmanuel, Grabowiecka Zofia
Département de Physique, Université de Montréal, Canada.
Département de Mathématiques et de Statistique, Université de Montréal, Canada.
Acta Crystallogr A Found Adv. 2019 May 1;75(Pt 3):541-550. doi: 10.1107/S2053273319000640. Epub 2019 Apr 30.
The goal of this article is to compare the geometrical structure of polytopes with 60 vertices, generated by the finite Coxeter group H, i.e. an icosahedral group in three dimensions. The method of decorating a Coxeter-Dynkin diagram is used to easily read the structure of the reflection-generated polytopes. The decomposition of the vertices of the polytopes into a sum of orbits of subgroups of H is given and presented as a `pancake structure'.
本文的目标是比较由有限考克斯特群H（即三维中的二十面体群）生成的具有60个顶点的多面体的几何结构。装饰考克斯特 - 戴金图的方法用于轻松读取反射生成的多面体的结构。给出了多面体顶点分解为H子群轨道和的情况，并将其呈现为“煎饼结构”。
