# Decomposition of a Rhombic Dodecahedron

Decomposition of a Rhombic Dodecahedron

A rhombic dodecahedron can be decomposed into a cube and six smaller, mutually congruent pieces, which can be reassembled to form a second cube of the same size as the first. In other words, the rhombic dodecahedron can be equidissected into two cubes of equal size. Furthermore, these cubes can be simultaneously modified so that the ratio of their volumes continuously varies between the extremes of 0:1 and 1:1.

A similar operation can be performed on the pentagonal dodecahedron.