Four General Unfoldings of a Cube
This Demonstration shows polygons obtained by general unfoldings of a cube.
Edge unfolding is a cutting of the surface of a polyhedron along its edges that permits the surface to be flattened to a plane. If the unfolded surface avoids self-overlap in the plane, it is called a net. A general unfolding removes the restriction that the cuts follow edges of the polyhedron [1, pp. 148, 170].
 J. O'Rourke, How to Fold It: The Mathematics of Linkages, Origami, and Polyhedra, Cambridge: Cambridge University Press, 2011.