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Two Vertex-Regular Polyhedra

Published online by Cambridge University Press:  20 November 2018

Hugh Apsimon
Hugh Apsimon*
Affiliation:
Balliol College, Oxford
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The definition of a regular polyhedron may be enunciated as follows:

(α) A polyhedron is said to be regular if its faces are equal regular polygons, and its vertex figures are equal regular polygons

In a recent note1 I gave three examples of uniform non-regular polyhedra, which I called facially-regular, using the definition:

(β) A polyhedron is said to be facially-regular if it is uniform and all its faces are equal.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 3 , 1951 , pp. 269 - 271
Copyright
Copyright © Canadian Mathematical Society 1951

References

1 Can. J. Math., vol. 2 (1950), 326.

2 For the sake of simplicity in this and the next definition I consider a polyhedron to be such that every face is accessible to any other face by paths crossing from one face to another by the edge common to both.

3 Ball, W. W. R., Mathematical Recreations and Essays (11th ed.), London, 1949, p. 147.Google Scholar