The edge lengths and strut diameter, as well as the orientation of each polyhedron must be chosen carefully for this to work. The edge lengths in order of decreasing volume are: cube (3 cm, fixed at the start), octahedron (3.53 cm), tetrahedron (5.32 cm), dodecahedron (1.15 cm), icosahedron (1.55 cm). The strut diameter is 3 mm for the first three and 2 mm for the last two.