McMullen, P;
(2020)
Identifying a polytope by its fibre polytopes.
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
10.1007/s13366-020-00527-2.
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Abstract
It is shown that a full-dimensional polytope P is uniquely determined by its r-dimensional fibre polytopes when r≥2. Further, if r≥4 and the r-dimensional fibre polytopes are zonotopes, then P itself must be a zonotope.
| Type: | Article |
|---|---|
| Title: | Identifying a polytope by its fibre polytopes |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s13366-020-00527-2 |
| Publisher version: | https://doi.org/10.1007/s13366-020-00527-2 |
| Language: | English |
| Additional information: | Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| Keywords: | Polytope, fibre polytop, normal fan, zonotope |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10117196 |
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