Four General Unfoldings of a Cube

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This Demonstration shows polygons obtained by general unfoldings of a cube.

Contributed by: Izidor Hafner (July 2016)
Open content licensed under CC BY-NC-SA


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Details

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].

Reference

[1] J. O'Rourke, How to Fold It: The Mathematics of Linkages, Origami, and Polyhedra, Cambridge: Cambridge University Press, 2011.



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