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Central configurations of nested rotated regular tetrahedra
| dc.contributor | Universitat de Vic. Escola Politècnica Superior | |
| dc.contributor | Universitat de Vic. Grup de Recerca en Tecnologies Digitals | |
| dc.contributor.author | Corbera Subirana, Montserrat | |
| dc.contributor.author | Llibre, Jaume | |
| dc.date.accessioned | 2013-04-19T11:25:26Z | |
| dc.date.available | 2013-04-19T11:25:26Z | |
| dc.date.created | 2009 | |
| dc.date.issued | 2009 | |
| dc.identifier.citation | CORBERA SUBIRANA, Montserrat; LLIBRE, J. "Central configurations of nested rotated regular tetrahedra". A: Journal of Geometry and Physics, 2009, vol. 59, núm. 10, pàg. 1379-1394. | ca_ES |
| dc.identifier.issn | 0393-0440 | |
| dc.identifier.uri | http://hdl.handle.net/10854/2206 | |
| dc.description.abstract | In this paper we prove that there are only two different classes of central configura- tions with convenient masses located at the vertices of two nested regular tetrahedra: either when one of the tetrahedra is a homothecy of the other one, or when one of the tetrahedra is a homothecy followed by a rotation of Euler angles = = 0 and = of the other one. We also analyze the central configurations with convenient masses located at the vertices of three nested regular tetrahedra when one them is a homothecy of the other one, and the third one is a homothecy followed by a rotation of Euler angles = = 0 and = of the other two. In all these cases we have assumed that the masses on each tetrahedron are equal but masses on different tetrahedra could be different. | en |
| dc.format | application/pdf | |
| dc.format.extent | 28 p. | ca_ES |
| dc.language.iso | eng | en |
| dc.publisher | Elsevier | ca_ES |
| dc.rights | (c) 2007 Elsevier. Published article is available at: http://dx.doi.org/10.1016/j.geomphys.2009.07.004 | |
| dc.subject.other | Matemàtica | ca_ES |
| dc.title | Central configurations of nested rotated regular tetrahedra | ca_ES |
| dc.type | info:eu-repo/semantics/article | ca_ES |
| dc.identifier.doi | https://doi.org/10.1016/j.geomphys.2009.07.004 | |
| dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0393044009001119 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_ES |
| dc.type.version | info:eu-repo/acceptedVersion | ca_ES |
| dc.indexacio | Indexat a SCOPUS | |
| dc.indexacio | Indexat a WOS/JCR | ca_ES |
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