Tetrahedron in Cube

Cube and tetrahedron are intimately related. Picking every other vertex of a cube so that no two are joined by an edges but any pair is joined by a diagonal of the cube's face one gets a regular tetrahedron. All edges of that shape are equal and, for that reason, all face angles are 60°.

What if applet does not run?

Drag the mouse to rotate the cube. 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.)

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