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A One-Parameter Family of Polyhedra with Two Kinds of Symmetries

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This Demonstration shows a one-parameter family of polyhedra with two kinds of symmetry. The two-fold symmetry is called symmetry, that is, tetrahedral rotational symmetry with a mirror plane.

Contributed by: Izidor Hafner (March 2015)
Open content licensed under CC BY-NC-SA

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The Demonstration illustrates Figure 8.24 in [1, p. 310]. The polyhedra in the family are face-transitive [1, p. 370].

Reference

[1] P. R. Cromwell, Polyhedra, Cambridge: Cambridge University Press, 1997.

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