The Classification of Rank 4 Locally Projective Polytopes and Their Quotients
| dc.creator | Hartley, Michael I | |
| dc.date | 2003-10-28 | |
| dc.date | 2004-01-14 | |
| dc.date.accessioned | 2026-07-07T05:02:17Z | |
| dc.date.available | 2026-07-07T05:02:17Z | |
| dc.description | This article announces the completion of the classification of rank 4 locally projective polytopes and their quotients. There are seventeen universal locally projective polytopes (nine nondegenerate). Amongst their 441 quotients are a further four (nonuniversal) regular polytopes, and 152 nonregular but section regular polytopes. All 156 of the latter have hemidodecahedral facets or hemi-icosahedral vertex figures. It is noted that, remarkably, every rank 4 locally projective section regular polytope is finite. The article gives a survey of the literature of locally projective polytopes and their quotients, and fills one small gap in the classification in rank 4. | |
| dc.description | 9 pages, 1 table | |
| dc.identifier | https://arxiv.org/abs/math/0310429 | |
| dc.identifier | http://arxiv.org/abs/math/0310429 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68998 | |
| dc.subject | Combinatorics | |
| dc.subject | Geometric Topology | |
| dc.subject | 51M20, 52B15 | |
| dc.title | The Classification of Rank 4 Locally Projective Polytopes and Their Quotients | |
| dc.type | text |