Polytopes with Few Vertices

  • Branko Grünbaum
Part of the Graduate Texts in Mathematics book series (GTM, volume 221)


The aim of the present chapter is a discussion, as complete as possible at present, of polytopes with ‘few’ vertices. In section 6.1 we deal with d-polytopes having d + 2 vertices; Sections 6.2 and 6.3 present two different approaches to the classification of d-polytopes with d + 3 vertices, while section 6.4 deals with a remarkable phenomenon concerning centrally symmetric polytopes.


Convex POLYTOPES Combinatorial Type Opposite Vertex Binatorial Type Cyclic Polytopes 
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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Branko Grünbaum
    • 1
  1. 1.Department of MathematicsUniversity of Washington, SeattleSeattleUSA

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