Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/9982
Registro completo de Metadatos
Campo DC | Valor | idioma |
---|---|---|
dc.contributor.author | Stewart, Ian | |
dc.date.accessioned | 2019-11-13T08:30:40Z | |
dc.date.available | 2019-11-13T08:30:40Z | |
dc.date.issued | 2019 | |
dc.identifier.uri | http://hdl.handle.net/10662/9982 | |
dc.description.abstract | In 1957 Steinhaus asked for a proof that a chain of identical regular tetrahedra joined face to face cannot be closed. Swierczkowski gave a proof in 1959. Several other proofs are known, based on showing that the four reections in planes though the origin parallel to the faces of the tetrahedron generate a group ℛ isomorphic to the free product ℤ₂ ∗ ℤ₂ ∗ ℤ₂ ∗ ℤ₂. We relate the reections to elements of a semigroup of 3 X 3 matrices over the finite field ℤ₃, whose structure provides a simple and transparent new proof that ℛ is a free product. We deduce the non-existence of a closed tetrahedral chain, prove that ℛ is dense in the orthogonal group O(3), and show that every ℛ-orbit on the 2-sphere is equidistributed. | es_ES |
dc.format.extent | 24 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Tetrahedral chain | es_ES |
dc.subject | Free product | es_ES |
dc.subject | Semigroup | es_ES |
dc.subject | Density | es_ES |
dc.subject | Equidistribution | es_ES |
dc.subject | Spherical harmonic | es_ES |
dc.subject | Cayley graph | es_ES |
dc.subject | Cadena tetraédrica | es_ES |
dc.subject | Producto libre | es_ES |
dc.subject | Semigrupo | es_ES |
dc.subject | Densidad | es_ES |
dc.subject | Equidistribución | es_ES |
dc.subject | Armónico esférico | es_ES |
dc.subject | Gráfico de Cayley | es_ES |
dc.title | Tetrahedral chains and a curious semigroup | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1208.06 Procesos de Markov | es_ES |
dc.subject.unesco | 1210.12 Grupos Topológicos | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | STEWART, I. (2019). Tetrahedral chains and a curious semigroup. Extracta Mathematicae 34 (1), 99-122. E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | University of Warwick. United Kingdom | en_US |
dc.relation.publisherversion | https://doi.org/10.17398/2605-5686.34.1.99 | es_ES |
dc.identifier.doi | 10.17398/2605-5686.34.1.99 | |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 1 | es_ES |
dc.identifier.publicationfirstpage | 99 | es_ES |
dc.identifier.publicationlastpage | 122 | es_ES |
dc.identifier.publicationvolume | 34 | es_ES |
dc.identifier.e-issn | 2605-5686 | |
Colección: | Extracta Mathematicae Vol. 34, nº 1 (2019) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
---|---|---|---|---|
2605-5686_34_1_99.pdf | 470,3 kB | Adobe PDF | Descargar |
Este elemento está sujeto a una licencia Licencia Creative Commons