Bricard's Flexible Octahedron
To accompany Folding and Unfolding in Computational Geometry:Part III: Ch.1.2: Cauchy's Rigidity Theorem.
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This is a static figure, so you cannot see how it flexes.

right-click for control panel
Press Shift-Z to display properly. This is same figure, skeleton view.

Created by Michiko Charley and Melody Donoso using Mathematica and Javaview.