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A non-Schlegelian polyhedral map on the torus

Published online by Cambridge University Press:  26 February 2010

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.

Type
Research Article
Copyright
Copyright © University College London 1984

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References

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