Hostname: page-component-7bb8b95d7b-dtkg6 Total loading time: 0 Render date: 2024-09-12T17:12:35.922Z Has data issue: false hasContentIssue false
  • English
  • Français

Almost Regular Polyhedra

Published online by Cambridge University Press:  03 November 2016

H. G. ApSimon
H. G. ApSimon*
Affiliation:
Decca Research Laboratories
Get access Rights & Permissions [Opens in a new window]

Extract

In this note I classify certain polyhedra which are of interest in that they have in some sense a higher degree of regularity than any other polyhedra except those which are completely regular. The definition of a regular polyhedron is that it shall possess two particular symmetries; one which cyclically permutes the vertices of any face c, and one which cyclically permutes the faces that meet at a vertex C, C being a vertex of c.

Type
Research Article
Information
The Mathematical Gazette , Volume 40 , Issue 332 , May 1956 , pp. 81 - 85
Copyright
Copyright © Mathematical Association 1956

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

page 81 note * See, for example, H. S. M. Coxeter, “Regular Skew Polyhedra in Three and Four Dimensions“, Proc. London Math. Soc. (2) 43 (1937), 33-62.

page 82 note * Three Facially-Regular Polyhedra”, Canadian Journ. of Math. 2 (1950) 326-330; “Two Vertex-Regular Polyhedra”, ibid, 3 (1951) 269-271.

page 84 note * For the definitionof this and other terms of this section see Coxeter, “Self-Dual Configurations and Regular Graphs”, Bulletin of American Math. Soc. 56 (1950)