# 2. Nets for Cowley's Dodecarhombus

2. Nets for Cowley's Dodecarhombus

This Demonstration shows that Cowley's net can be folded into another nonconvex solid with nonplanar faces, when the creases are made along the longer rather than the shorter diagonals of 60° rhombuses.

In [1, pp. 2–3] and [3, p. 22], it was shown that Cowley's dodecarhombus net [3, p. 23] did not consist of golden rhombuses nor of rhombuses of a rhombic dodecahedron. So it cannot be folded into a convex polyhedron. But if we consider Cowley's rhombuses as hinged equilateral triangles, the net can be folded into a nonconvex polyhedron. So in this case the rhombuses form a kind of skeleton, in the sense of [4, p. 282], although not all dihedral angles are congruent.