In geometry, the Waterman polyhedra are a family of polyhedra discovered around 1990 by the mathematician Steve Waterman. A Waterman polyhedron is created by packing spheres according to the cubic clo
Waterman/fcc sphere cluster W5
Waterman/fcc polyhedra interpretation of sphere cluster w5
The Archimedean solids are a set of thirteen convex polyhedra whose faces are regular polygons and are vertex-transitive, although they are not face-transitive and are generally not edge-transitive. T
Waterman polyhedron
…Some Waterman polyhedra create Platonic solids and Archimedean solids. For this comparison of Waterman polyhedra they are normalized, e.g. W2 O1 has a different size or volume than W1 O6, but has the same form as an…
The Archimedean solids. Two of them are chiral, with both forms shown, making 15 models in all.
Truncated icosahedron in De quinque corporibus regularibus
Rhombicuboctahedron drawn by Leonardo da Vinci
Cuboctahedron in Perspectiva Corporum Regularium