Band Unfoldings and Prismatoids: A Counterexample
| dc.creator | O'Rourke, Joseph | |
| dc.date | 2007-10-03 | |
| dc.date | 2007-10-04 | |
| dc.date.accessioned | 2026-07-07T08:33:59Z | |
| dc.date.available | 2026-07-07T08:33:59Z | |
| dc.description | This note shows that the hope expressed in [ADL+07]--that the new algorithm for edge-unfolding any polyhedral band without overlap might lead to an algorithm for unfolding any prismatoid without overlap--cannot be realized. A prismatoid is constructed whose sides constitute a nested polyhedral band, with the property that every placement of the prismatoid top face overlaps with the band unfolding. | |
| dc.description | 5 pages, 3 figures. v2 replaced Fig.1(b) and Fig.3 to illustrate the angles delta=(1/2)epsilon (rather than delta=epsilon) | |
| dc.identifier | https://arxiv.org/abs/0710.0811 | |
| dc.identifier | http://arxiv.org/abs/0710.0811 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139281 | |
| dc.subject | Computational Geometry | |
| dc.subject | F.2.2 | |
| dc.title | Band Unfoldings and Prismatoids: A Counterexample | |
| dc.type | text |