Israel Journal of Mathematics

, Volume 9, Issue 2, pp 257–262 | Cite as

Spherical complexes and radial projections of polytopes

  • G. C. Shephard


Using the techniques of Gale diagrams a simple criterion is given for determining when a given spherical complex onS n−1E n is the radial projection, from the centre ofS n−1, of a convex polytope. Previously a criterion was known only for the casen=2.


Boundary Complex Convex Polytope Polyhedral Cone Regular Hexagon Spherical Complex 
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Copyright information

© Hebrew Univeristy 1971

Authors and Affiliations

  • G. C. Shephard
    • 1
  1. 1.Michigan State UniversityEast LansingU.S.A.

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