On the Banach-Mazur distance between the cube and the crosspolytope
On the Banach-Mazur distance between the cube and the crosspolytope
In this note we study the Banach-Mazur distance between the n -dimensional cube and the crosspolytope.Previous work shows that the distance has order √ n , and here we will prove some explicit bounds improving on former results.Even in dimension 3 the exact distance is not known, and based on …