论文信息 - Spherical complexes and radial projections of polytopes

Spherical complexes and radial projections of polytopes

Using the techniques of Gale diagrams a simple criterion is given for determining when a given spherical complex onSn−1 ⊂En is the radial projection, from the centre ofSn−1, of a convex polytope. Previously a criterion was known only for the casen=2.

G. C. Shephard

[1] G. C. Shephard,et al. Convex Polytopes and the Upper Bound Conjecture , 1971 .

[2] Fred Supnick. On the Perspective Deformation of Polyhedra , 1948 .

[3] S. S. Cairns. Isotopic Deformations of Geodesic Complexes on the 2-Sphere and on the Plane , 1944 .

[4] G. C. Shephard. Diagrams for Positive Bases , 1971 .