Banach–Mazur Distance Between Convex Quadrangles

Demonstratio mathematica

article

Marek Lassak¹ 

[1] INSTITUTE OF MATHEMATICS AND PHYSICS UNIVERSITY OF TECHNOLOGY AND LIFE SCIENCES 85-789 BYDGOSZCZ

关键词: and phrases Banach-Mazur distance;    convex body;    convex quadrangle;    parallelogram;    triangle;   

DOI  :  10.2478/dema-2014-0079

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

It is proved that the Banach-Mazur distance between arbitrary two convex quadrangles is at most 2. The distance equals 2 if and only if the pair of these quadrangles is a parallelogram and a triangle.

【 授权许可】

CC BY