dc.contributor.editor | Díaz Báñez, José Miguel | es |
dc.contributor.editor | Garijo Royo, Delia | es |
dc.contributor.editor | Márquez Pérez, Alberto | es |
dc.contributor.editor | Urrutia Galicia, Jorge | es |
dc.creator | Kynčl, Jan | es |
dc.creator | Safernova, Zuzana | es |
dc.date.accessioned | 2017-05-18T12:25:33Z | |
dc.date.available | 2017-05-18T12:25:33Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Kynčl, J. y Safernova, Z. (2013). On the nonexistence of k-reptile simplices in R3 and R4. En XV Spanish Meeting on Computational Geometry, Sevilla. | |
dc.identifier.uri | http://hdl.handle.net/11441/60038 | |
dc.description.abstract | A d-dimensional simplex S is called a k-reptile (or a k-reptile simplex) if it can be tiled without overlaps by k simplices with disjoint interiors that are all mutually congruent and similar to S. For d=2, triangular k-reptiles exist for many values of k and they have been completely characterized by Snover, Waiveris, and Williams. On the other hand, the only k-reptile simplices that are known for d≥3, have k=m d, where m is a positive integer. We substantially simplify the proof by Matoušek and the second author that for d=3, k-reptile tetrahedra can exist only for k=m 3. We also prove a weaker analogue of this result for d=4 by showing that four-dimensional k-reptile simplices can exist only for k=m 2. | es |
dc.description.sponsorship | Czech Science Foundation | es |
dc.description.sponsorship | Centre Interfacultaire Bernoulli | es |
dc.description.sponsorship | Swiss National Science Foundation | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | XV Spanish Meeting on Computational Geometry (2013), pp. 69-72. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | On the nonexistence of k-reptile simplices in R3 and R4 | es |
dc.type | info:eu-repo/semantics/conferenceObject | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada II | |
dc.relation.projectID | CE-ITI (GACR P202/12/G061) | es |
dc.relation.projectID | SVV-2013-26731 | es |
dc.relation.projectID | GAUK 52410 | es |
dc.relation.publisherversion | http://congreso.us.es/ecgeometry/proceedingsECG2013.pdf | es |
idus.format.extent | 4 p. | es |
dc.publication.initialPage | 69 | es |
dc.publication.endPage | 72 | es |
dc.eventtitle | XV Spanish Meeting on Computational Geometry | es |
dc.eventinstitution | Sevilla | es |