Banach–Mazur Distance Between Convex Quadrangles

Abstract

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.

Keywords

• and phrases Banach-Mazur distance
• convex body
• convex quadrangle
• parallelogram
• triangle