"Superinvariant" tensor of inertia.

tomkeus

I have been recently calculating tensors of inertia of sphere and seimisphere. Although I expected that tensor of inertia of sphere is invariant under orthogonal transformations (eg. rotation) I was surprised when I saw that the same thing aplies for the semisphere. Are there any more "supersymetric" bodies with such nice tensors of inertia.