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On the Projection of the Regular Polytope {5, 3, 3} into a Regular Triacontagon

Published online by Cambridge University Press:  20 November 2018

B. L. Chilton
B. L. Chilton*
Affiliation:
State University of New York at Buffalo
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The polytope {5, 3, 3} is one of the six convex regular four-dimensional polytope s, and in some ways is the most complicated of the six, being bounded by 120 dodecahedra. The symbol {p, q, r} to denote a regular figure in four dimensions originated with L. Schláfli: p is the number of edges bounding each face, q is the number of edges of a cell which meet at a vertex of this ceil, and r is the number of ceils that share each edge. The Schláfli symbol can be generalized to denote regular figures in any number of dimensions; in particular, a regular p-gon is symbolized by {p}, and a dodecahedron by {5, 3}.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 7 , Issue 3 , September 1964 , pp. 385 - 398
Copyright
Copyright © Canadian Mathematical Society 1964

References

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