  I review some standard theory of convex bodies in $\mathbb{R}^3$ and rephrase
it in a formalism of Ted Newman to show the relation between the
St\"utzfunktion of the former theory and the cut function introduced by Ted.
This leads to a conjectured inequality for space-like two-spheres in Minkowski
space that generalises Minkowski's inequality and is implied by Penrose's
cosmic censorship hypothesis.

General Relativity and Quantum Cosmology