Approximation of Quadrilaterals by Triangles with Respect to Minimal Width

被引：0
|
作者：
Gonzalez-Arreola, E. [1 ]
Jeronimo-Castro, J. [1 ]
Sanchez-Ortiz, D. [1 ]
机构：
[1] Univ Autonoma Queretaro, Fac Ingn, Cerro Campanas S-N, Queretaro 76010, Mexico
来源：
RESULTS IN MATHEMATICS | 2023年 / 78卷 / 04期
关键词：
POLYTOPES;
D O I：
10.1007/s00025-023-01898-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove the following result: Let Q be a quadrilateral which has minimal width w(Q), or simply width, equal to 1. Then there exists a triangle T inscribed in Q such that w(T)=(root 3)/(2)approximate to.866. Moreover, if Q has a center of symmetry then w(T)>= (root 3)/(2 cos(p/12)) approximate to.8965, with equality if and only if Q is a square with side of length 1.
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