Wunderlich's jumping octahedra

patron The three dashed diagonals show "valley folds".

This net can lead to two distinct polyhedra which derive from a triangular prism by about 15° and 50° twists.
If you build a model out of thin card, you find that the two positions are interchangeable: a light pressure and the model jumps from one position to the other. To build your own model you may download and print the net (PDF file).

reference: Polyhedra  by Peter R. Cromwell (Cambridge University Press - 1997) pages 222-223

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updated 15-11-2003