The polytopes of the  H  3  group with 60 vertices and their orbit decompositions | Zendy

Bourret Emmanuel | Zendy; Grabowiecka Zofia | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

The polytopes of the H 3 group with 60 vertices and their orbit decompositions

Author(s) -

Bourret Emmanuel,

Grabowiecka Zofia

Publication year - 2019

Publication title -

acta crystallographica section a

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.742

H-Index - 83

ISSN - 2053-2733

DOI - 10.1107/s2053273319000640

Subject(s) - coxeter group , polytope , combinatorics , icosahedral symmetry , mathematics , group (periodic table) , diagram , reflection (computer programming) , orbit (dynamics) , crystallography , geometry , physics , chemistry , computer science , quantum mechanics , statistics , programming language , engineering , aerospace engineering

The goal of this article is to compare the geometrical structure of polytopes with 60 vertices, generated by the finite Coxeter group H 3 , 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 3 is given and presented as a `pancake structure'.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research