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A non-Schlegelian polyhedral map on the torus

Part of: General convexity

Published online by Cambridge University Press:  26 February 2010

Amos Altshuler  and
Ulrich Brehm
Amos Altshuler
Affiliation:
Ben Gurion University of the Negeov, Beer-Sheva, Israel.
Ulrich Brehm
Affiliation:
Mathematisches Institut, Albert-Ludwigs-Universität, Freiburg, West Germany.
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Abstract

We describe a toroidal polyhedral map which can be geometrically realized in R3 but not via a Schlegel diagram of a convex 4-polytope. Moreover, this map is not isomorphic to a subcomplex of the boundary complex of any convex polytope.

MSC classification

Secondary: 52A99: None of the above, but in this section
Type
Research Article
Information
Mathematika , Volume 31 , Issue 1 , June 1984 , pp. 83 - 88
Copyright
Copyright © University College London 1984

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References

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