Suppose that the surface of a polyhedron is cut in such a way that it can be opened out flat to form a connected region in the plane and that , by introducing suitable folds, can be made into the net of a polyhedron . Then we write and say that is transformed into . In this paper we give many examples of the transformation of polyhedra and investigate the properties of the relation .
Cite this article
G.C. Shephard, How to turn a tetrahedron into a cube and similar transformations. Enseign. Math. 59 (2013), no. 1/2, pp. 115–131DOI 10.4171/LEM/59-1-4