Volume of a Generalized Rhombic Dodecahedron of the Second Kind (RD2)
Volume of a Generalized Rhombic Dodecahedron of the Second Kind (RD2)
This Demonstration shows a visual proof that the volume of a generalized rhombic dodecahedron of the second kind (RD2, or Bilinski dodecahedron) is (+)/2, where and are diagonals of four congruent rhombuses. This is shown by moving the pieces of the dodecahedron into a cuboid (rectangular prism, or box). The 12 rhombic faces are congruent only in the RD2 case.
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