Abstract: | Depending on the type, considering only the topological structure of the network of faces, and the angles of corresponding
faces at corresponding vertices, convex polyhedra in R3, each face of which is equiangular or composed of such, constitute four infinite series (prism, antiprism, and two types
of truncated antiprisms); outside of this series, there are only a finite number of types.
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akad.
Nauk SSSR, Vol. 45, pp. 111–112, 1974. |