A non-schlegelian polyhedral map on the torus

Amos Altshuler

doi:10.1112/S0025579300010688

A non-schlegelian polyhedral map on the torus

Amos Altshuler

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We describe a toroidal polyhedral map which can be geometrically realized in R³but 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.

Original language	English
Pages (from-to)	83-88
Number of pages	6
Journal	Mathematika
Volume	31
Issue number	1
DOIs	https://doi.org/10.1112/S0025579300010688
State	Published - 1 Jan 1984

ASJC Scopus subject areas

General Mathematics

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abstract = "We describe a toroidal polyhedral map which can be geometrically realized in R3but 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.",

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AB - We describe a toroidal polyhedral map which can be geometrically realized in R3but 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.

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A non-schlegelian polyhedral map on the torus

Abstract

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