Goldberg's Tristable Polyhedron

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This Demonstration shows Goldberg's tristable polyhedron. According to Goldberg, the given polygons allow three states. Real materials deform only by small amounts, allowing the polyhedron to appear to flex.

Contributed by: Izidor Hafner (January 2014)
Open content licensed under CC BY-NC-SA


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References

[1] P. R. Cromwell, Polyhedra, New York: Cambridge University Press, 1997, p. 224.

[2] M. Goldberg, "Unstable Polyhedral Structures," Mathematics Magazine, 51, 1978 pp. 165–170.

[3] D. Wells, The Penguin Dictionary of Curious and Interesting Geometry, London: Penguin, 1991 p. 161.



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