Items for "projection bodies"

Three-Dimensional Projection Bodies

The projection body is determined for selected three-dimensional convex bodies. The relationship between the volume of a convex body and the volume of its projection body is explored by calculating the value of an affine-invariant functional defined on the class of convex bodies, and conjectures are made as to the significance of these calculations.

Keywords: Convex bodies, projection bodies, affine isoperimetric inequalities