Discrete & Computational Geometry

, Volume 21, Issue 4, pp 581–601 | Cite as

A Characterization of Gram Matrices of Polytopes

  • R. Díaz


We give a characterization of the Gram matrices of spherical and finite-volume hyperbolic polytopes of a given combinatorial type. This is done in terms of the signs of certain minors of the Gram matrix.


Combinatorial Type Hyperbolic Polytopes 
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Copyright information

© Springer-Verlag New York Inc. 1999

Authors and Affiliations

  • R. Díaz
    • 1
  1. 1.Dpto. de Geometría y Topología, Facultad de CC. Matemáticas, Universidad Complutense, 28040 Madrid, Spain radiaz@eucmos.sim.ucm.esES

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