Platonic solids are constructed by identical, regular, polygonal faces. There are exactly five platonic solids.

The Greeks, who were inclined to see in mathematics something of the nature of religious truth, found this very compelling. The philosopher Plato concluded that they must be the fundamental building blocks, "the atoms" of nature.

Plato assigned to the solids what he believed to be the essential elements of the universe. He assigned fire to the tetrahedron, earth to the cube, air to the octahedron, and water to the icosahedron. The dodecahedron represents the constellations that make up the universe.

The polyblock series: "Perfect shapes seem to be carved out of graphite, coal or glass, and crossed by arrays of rare metals, networks of silver and gold, only revealed by reflections of light." There are as many editions of a polyblock as its amount of faces.

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