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Journal of Soviet Mathematics

, Volume 10, Issue 3, pp 486–487 | Cite as

Convex polyhedra whose faces are equiangular or composed of such

  • Yu. A. Pryakhin
Article
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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.

Keywords

Finite Number Topological Structure Infinite Series Convex Polyhedron 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Literature cited

  1. 1.
    V. A. Zalgaller, “Convex polyhedra with regular faces,” in: Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,2 (1967).Google Scholar
  2. 2.
    B. A. Ivanov, “Polyhedra with faces composed of regular polygons,” Ukr. Geom. Sb.,10, 20–34 (1971).zbMATHGoogle Scholar
  3. 3.
    Yu. A. Pryakhin, “On convex polyhedra with regular faces,” Ukr. Geom. Sb.,14, 83–88 (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • Yu. A. Pryakhin

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