The Bellows conjecture.
The Cayley–Menger determinant is irreducible for .
The convex floating body.
The determination of convex bodies from the size and shape of their projections and sections
We survey results concerning the extent to which information about a convex body's projections or sections determine that body. We will see that, if the body is known to be centrally symmetric, then it is determined by the size of its projections. However, without the symmetry condition, knowledge of the average shape of projections or sections often determines the body. Rather surprisingly, the dimension of the projections or sections plays a key role and exceptional cases do occur but appear to...
The inscribed simplex in a centrally symmetric convex body in En.
The mean surface area of the boxes circumscribed about a convex body
The pentagram map is recurrent.
The size of the shadow boundary pojection.
Two optimization problems for convex bodies in the -dimensional space.