Cube ( hexahedron)

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Here are several pictures of a cube. Since cubes are made out of squares, they are not rigid: they collapse. To make a "rigid" cube I started with an octahedron, ( which is dual to the cube ) and built a tetrahedron onto each one of its faces. Then I joined the eight corners of the resulting star shape with cotton to make the cube.

This aspect of a cube shows how it is related to various triangular constructions. Diagonally opposite corners of a cube form tetrahedra