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Enumerating Dissectible Polyhedra by Their Automorphism Groups

Published online by Cambridge University Press:  20 November 2018

L. W. Beineke  and
R. E. Pippert
L. W. Beineke
Affiliation:
Purdue University at Fort Wayne, Fort Wayne, Indiana
R. E. Pippert
Affiliation:
Western Michigan University, Kalamazoo, Michigan
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A dissectible polyhedron is a natural extension of a concept whose history dates back to at least 1758 and Euler [7]—the concept of a dissection of a polygon. An interesting historical survey of dissections of a polygon is given by Brown [4]. Some approaches to the classical problem have been given by Moon and Moser [9] and by Guy [8] ; the latter provides an approach which is the basis of the work in this paper. A summary of enumeration results on dissections of polygons and polyhedra by automorphism groups has been given by the authors [2].Recent extensions of the problem have been investigated in a series of papers by Brown and Tutte [3; 5; 14; 15] and b y Takeo [10; 11; 12; 13].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 1 , February 1974 , pp. 50 - 67
Copyright
Copyright © Canadian Mathematical Society 1974

References

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