摘要
Assume K is a rotor in a regular simplex of heihgt 1 in an n-dimensional Euclidean space. Let K~* denote the polar dual of K. Then the volume V(K~*) satisfies the inequality V(K~*)≥(n+1)~nω_n, where ω_n denotes the volume of an n-dimensional unit ball. Equality holds if and only if K is a ball centered at the centroid of the simplex.
Assume K is a rotor in a regular simplex of heihgt 1 in an n-dimensional Euclidean space. Let K~* denote the polar dual of K. Then the volume V(K~*) satisfies the inequality V(K~*)≥(n+1)~nω_n, where ω_n denotes the volume of an n-dimensional unit ball. Equality holds if and only if K is a ball centered at the centroid of the simplex.
