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


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.


Finite Number Topological Structure Infinite Series Convex Polyhedron 
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Literature cited

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    V. A. Zalgaller, “Convex polyhedra with regular faces,” in: Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,2 (1967).Google Scholar
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    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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