The $E_t$-Construction for Lattices, Spheres and Polytopes
| dc.creator | Paffenholz, Andreas | |
| dc.creator | Ziegler, Günter M. | |
| dc.date | 2003-04-30 | |
| dc.date | 2004-03-17 | |
| dc.date.accessioned | 2026-07-07T04:57:37Z | |
| dc.date.available | 2026-07-07T04:57:37Z | |
| dc.description | We describe and analyze a new construction that produces new Eulerian lattices from old ones. It specializes to a construction that produces new strongly regular cellular spheres (whose face lattices are Eulerian). The construction does not always specialize to convex polytopes; however, in a number of cases where we can realize it, it produces interesting classes of polytopes. Thus we produce an infinite family of rational 2-simplicial 2-simple 4-polytopes, as requested by Eppstein, Kuperberg and Ziegler. We also construct for each $d\ge3$ an infinite family of $(d-2)$-simplicial 2-simple $d$-polytopes, thus solving a problem of Grünbaum. | |
| dc.description | 21 pages, many figures | |
| dc.identifier | https://arxiv.org/abs/math/0304492 | |
| dc.identifier | http://arxiv.org/abs/math/0304492 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67318 | |
| dc.subject | Metric Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | 52B11, 06A07 | |
| dc.title | The $E_t$-Construction for Lattices, Spheres and Polytopes | |
| dc.type | text |