Nested Platonic solids made by Geoffrey Child from a Zometool plastic construction kit

Like Kepler, Child was interested in nesting the Platonic solids. Instead of relating them to the orbits of the planets, he was looking for the most efficient way of arranging them in space. He started with two interpenetrating tetrahedra in green at the centre, which form a stella octagonal. The vertices of this are also the vertices of the cube in blue. This cube sits inside the icosahedron in blue, which is connected to the blue dodecahedron by yellow struts. The model is made in Zometool, a highly sophisticated mathematical construction kit developed from 1992.