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Six Square Pyramids

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Six square pyramids have as their height half the edge length of their square base. The pyramids are attached by their bases. You can rotate them in two directions either to form a cube or a rhombic dodecahedron. This is a visual proof that the volume of a rhombic dodecahedron equals the volume of two cubes.

Contributed by: Sándor Kabai (May 2008)
Open content licensed under CC BY-NC-SA

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