McMullen, P;
(2003)
Fibre tilings.
MATHEMATIKA
, 50
(1-2)
1 - 33.
10.1112/S0025579300014765.
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Abstract
Generalizing an earlier notion of secondary polytopes, Billera and Sturmfels introduced the important concept of fibre polytopes, and showed how they were related to certain kinds of subdivision induced by the projection of one polytope onto another. There are two obvious ways in which this concept can be extended: first, to possibly unbounded polyhedra, and second, by making the definition a categorical one. In the course of these investigations, it became clear that the whole subject fitted even more naturally into the context of finite tilings which admit strong duals. In turn, this new approach provides more unified and perspicuous explanations of many previously known but apparently quite disparate results.
| Type: | Article |
|---|---|
| Title: | Fibre tilings |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1112/S0025579300014765 |
| Publisher version: | http://dx.doi.org/10.1112/S0025579300014765 |
| Language: | English |
| Additional information: | © 2003 Cambridge University Press |
| Keywords: | CELL-COMPLEXES, POLYTOPES, ZONOTOPES, POLYHEDRA, DUALITY |
| 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/104968 |
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