Smallest universal covers for families of triangles
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Park, Ji-won | ko |
| dc.contributor.author | Cheong, Otfried | ko |
| dc.date.accessioned | 2020-10-13T07:55:05Z | - |
| dc.date.available | 2020-10-13T07:55:05Z | - |
| dc.date.created | 2020-10-06 | - |
| dc.date.created | 2020-10-06 | - |
| dc.date.issued | 2021-01 | - |
| dc.identifier.citation | COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, v.92, pp.101686 | - |
| dc.identifier.issn | 0925-7721 | - |
| dc.identifier.uri | http://hdl.handle.net/10203/276527 | - |
| dc.description.abstract | A universal cover for a family T of triangles is a convex set that contains a congruent copy of each triangle T is an element of T. We conjecture that for any family T of triangles of bounded diameter there is a triangle that forms a universal cover for T of smallest possible area. We prove this conjecture for all families of two triangles, and for the family of triangles that fit in the unit disk. | - |
| dc.language | English | - |
| dc.publisher | ELSEVIER | - |
| dc.title | Smallest universal covers for families of triangles | - |
| dc.type | Article | - |
| dc.identifier.wosid | 000566901900006 | - |
| dc.identifier.scopusid | 2-s2.0-85087888589 | - |
| dc.type.rims | ART | - |
| dc.citation.volume | 92 | - |
| dc.citation.beginningpage | 101686 | - |
| dc.citation.publicationname | COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS | - |
| dc.identifier.doi | 10.1016/j.comgeo.2020.101686 | - |
| dc.contributor.localauthor | Cheong, Otfried | - |
| dc.contributor.nonIdAuthor | Park, Ji-won | - |
| dc.description.isOpenAccess | N | - |
| dc.type.journalArticle | Article | - |
| dc.subject.keywordAuthor | Triangles | - |
| dc.subject.keywordAuthor | Smallest area | - |
| dc.subject.keywordAuthor | Universal cover | - |
| dc.subject.keywordAuthor | Convex cover | - |
| dc.subject.keywordAuthor | Unit circle | - |
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