A VOLUME FORMULA FOR Z2-SYMMETRIC SPHERICAL TETRAHEDRA

被引：0
|
作者：
Kolpakov, A. A. [1 ,2 ]
Mednykh, A. D. [1 ,2 ]
Pashkevich, M. G. [3 ]
机构：
[1] Sobolev Inst Math, Novosibirsk, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
[3] Novosibirsk State Univ Econ & Management, Novosibirsk, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2011年 / 52卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
tetrahedron; spherical space; volume; Gram matrix; HYPERBOLIC TETRAHEDRA; POLYHEDRA;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain formulas for the volume of a spherical tetrahedron with Z(2)-symmetry realized as rotation about the axis passing through the midpoints of a pair of skew edges. We show the dependence of the volume formula on the edge lengths and dihedral angles of the tetrahedron. Several different formulas result whose scopes are determined by the geometric characteristics of the tetrahedron.
引用
收藏
页码：456 / 470
页数：15
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