The eight-tetrahedra longest-edge partition and Kuhn triangulations

被引：7
|
作者：
Plaza, Angel [1 ]
机构：
[1] Univ Las Palmas Gran Canaria, Dept Math, Las Palmas Gran Canaria 35017, Spain
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 54卷 / 03期
关键词：
eight-tetrahedra longest-edge partition; right-type tetrahedron; Kuhn triangulation;
D O I：
10.1016/j.camwa.2007.01.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：427 / 433
页数：7
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