Infinite series of rhombic dodecahedra: Ratio 1 / Ö2
The long rhomb diagonal of the smallest yellow rhombic dodecahedra constitutes the short diagonal of the larger gray rhombic dodecahedron. The long and the short diagonals coincide when the two rhombic dodecahedra are attached . Analogously the same relation holds for the larger green and the blue rhombic dodecahedra.
The diagonals of the rhombi are in the ratio of 1 / Ö 2, acc. to Johannes Kepler. The angles of the rhombi are 70 31´ 44´´
where four edges meet in the vertex and 109 28´ 16´´ where three edges meet in the vertex. When the rhombic dodecahedra are attached, the two kinds of vertices coincide.
Such a series can continue in infinity