# Parametrized Goldberg's Tristable Polyhedron with 12 Faces

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This Demonstration shows a parametrized Goldberg's tristable polyhedron where the faces are 12 isosceles triangles. The apex angle of Goldberg's original construction is slightly more than 103 degrees. A rectangular net is shown for the case of 90 degrees.

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Contributed by: Izidor Hafner (April 2014)

Open content licensed under CC BY-NC-SA

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References

[1] P. R. Cromwell, *Polyhedra*, Cambridge: Cambridge University Press, 1997 pp. 222–224.

[2] M. Goldberg, "Unstable Polyhedral Structures," *Mathematics Magazine*, 51(3), 1978 pp. 165–170. www.jstor.org/stable/2689996.

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