Geodesic
Enumerating Dissectible Polyhedra by Their Automorphism Groups
Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 50-67

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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]. 
Beineke, L. W.; Pippert, R. E. Enumerating Dissectible Polyhedra by Their Automorphism Groups. Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 50-67. doi: 10.4153/CJM-1974-006-x
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