|Title:||The eight-tetrahedra longest-edge partition and Kuhn triangulations||Authors:||Plaza, Angel||UNESCO Clasification:||120601 Construcción de algoritmos||Keywords:||Eight-tetrahedra longest-edge partition
|Issue Date:||2007||Project:||Mtm2005-08441-C02-02. Particiones Triangulares y Algoritmos de Refinamiento||Journal:||Computers and Mathematics with Applications||Abstract:||The Kuhn triangulation of a cube is obtained by subdividing the cube into six right-type tetrahedra once a couple of opposite vertices have been chosen. In this paper, we explicitly define the eight-tetrahedra longest-edge (8T-LE) partition of right-type tetrahedra and prove that for any regular right-type tetrahedron t, the iterative 8T-LE partition of t yields a sequence of tetrahedra similar to the former one. Furthermore, based on the Kuhn-type triangulations, the 8T-LE partition commutes with certain refinements based on the canonical boxel partition of a cube and its Kuhn triangulation.||URI:||http://hdl.handle.net/10553/51610||ISSN:||0898-1221||DOI:||10.1016/j.camwa.2007.01.023||Source:||Computers and Mathematics with Applications [ISSN 0898-1221], v. 54 (3), p. 427-433|
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