A unique representation of polyhedral types
| dc.creator | Springborn, Boris A. | |
| dc.date | 2004-01-02 | |
| dc.date | 2005-12-12 | |
| dc.date.accessioned | 2026-07-07T06:35:54Z | |
| dc.date.available | 2026-07-07T06:35:54Z | |
| dc.description | It is known that for each combinatorial type of convex 3-dimensional polyhedra, there is a representative with edges tangent to the unit sphere. This representative is unique up to projective transformations that fix the unit sphere. We show that there is a unique representative (up to congruence) with edges tangent to the unit sphere such that the origin is the barycenter of the points where the edges touch the sphere. | |
| dc.description | 4 pages, 2 figures. v2: belated upload of final version (of March 2004) | |
| dc.identifier | https://arxiv.org/abs/math/0401005 | |
| dc.identifier | http://arxiv.org/abs/math/0401005 | |
| dc.identifier | Math. Z. 249 (2005), 513-517 | |
| dc.identifier | doi:10.1007/s00209-004-0713-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99935 | |
| dc.subject | Metric Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | Geometric Topology | |
| dc.subject | 52B10 | |
| dc.title | A unique representation of polyhedral types | |
| dc.type | text |