Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Uniform compounds of uniform polyhedra

J. Skillinga1

a1 Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge


The work of Coxeter, Longuet-Higgins and Miller (1953) and of Skilling (1975) is extended to give a complete list of uniform compounds of uniform polyhedra. Symmetry relationships between polyhedra and their compounds are discussed.

(Received February 10 1975)

(Revised October 13 1975)