JournalslemVol. 59, No. 1/2pp. 115–131

How to turn a tetrahedron into a cube and similar transformations

  • G.C. Shephard

    East Anglia University, Norwich, UK
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Abstract

Suppose that the surface of a polyhedron P1P_{1} is cut in such a way that it can be opened out flat to form a connected region RR in the plane and that RR, by introducing suitable folds, can be made into the net of a polyhedron P2P_{2}. Then we write P1P2P_{1} \Rightarrow P_{2} and say that P1P_{1} is transformed into P2P_{2}. In this paper we give many examples of the transformation of polyhedra and investigate the properties of the relation \Rightarrow .

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. 115–131

DOI 10.4171/LEM/59-1-4