Dissecting and Reassembling a Cube into Three Different Solids

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This Demonstration shows the dissection of a cube into four pieces that can be reassembled to give a quarter of a rhombic dodecahedron of the second kind, a rectangular solid or a parallelepiped.

Contributed by: Izidor Hafner (February 2019)
Open content licensed under CC BY-NC-SA


Details

The volume of the rhombic dodecahedron of the second kind is , where is the larger diagonal of the golden rhombus, so the edge of the cube has length .


Snapshots



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