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
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
In geometry, the rhombicosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces.
Archimedean solid
…12 pentagons 60 30 Ih Truncated dodecahedron 3.10.10 20 triangles 12 decagons 90 60 Ih Truncated icosahedron 5.6.6 12 pentagons 20 hexagons 90 60 Ih Rhombicosidodecahedron 3.4.5.4 20 triangles 30 squares 12 pentagons 120 60 Ih Truncated icosidodecahedron 4.6.10 30 squares 20 hexagons 12 decagons 180 120 Ih Snub dodecahedron…
A version with golden rectangles is used as vertex element of the construction set Zometool.