Summary
The problem of geometric realization for convex polyhedra, which satisfy certain desirable properties, has received quite a bit of attention lately. Interest, mainly, has been on polyhedral representations where either all of the vertex coordinates are small integers, or all of the edge lengths are integers, or all of the edges are tangent to a sphere. In general, it is not easy to construct a convex polyhedron satisfying any of those criteria. We introduce a remarkable polyhedron that satisfies all of them.
Additional information
Notes on contributors
Hans L. Fetter
HANS L. FETTER is a professor at the Universidad Autónoma Metropolitana in Mexico City. He is mainly interested and engaged in problems of a geometric nature: from those involving bounds for the dihedral anglesum of polyhedra to those concerning space-filling, including of course self-reproducing polyhedra, all the way to the study of periodic orbits in billiards bounded by a smooth curve. The present article originated from the study of certain new self-dual polyhedra.