Cube in Octahedraon
Octahedron and cube are dual in the following sense: the centers of the faces of an octahedron, if joined appropriately, form a cube; and vice versa.
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Drag the mouse to rotate the dodecahedron. Use the right button to remove and put back individual faces.
(Acknowledgement: I have learned most of Java details from the implementation by Meiko Rachimow.)
Copyright © 1996-2017 Alexander Bogomolny