Zometool - Archimedean Solids
Introduction
An Archimedean solid is a highly symmetric, semi-regular convex polyhedron composed of two or more types of regular polygons meeting in identical vertices. They are distinct from the Platonic solids, which are composed of only one type of polygon meeting in identical vertices, and from the Johnson solids, whose regular polygonal faces do not meet in identical vertices. [1]
Zometool Models
You can construct 11 of the 13 Archimedean Solids with Zometool. The Snub Cube and Snub Dodecahedron are not possible to construct. When the model contains only struts of one size and color, the model is exact. If the model contains struts of different colors and sizes the model is a close approximation which is the case for 3 Archimedean solids (Truncated Cube, Rhombicuboctahedron, Truncated Cuboctahedron).
The images were generated with ZomePad. Click on the image to enlarge the view.
Quick Links
ca = close approximation
Truncated Tetrahedron
Cuboctahedron
Truncated Cube (ca)
Truncated Octahedron
Rhombicuboctahedron (ca)
Truncated Cuboctahedron (ca)
Icosidodecahedron
Truncated Dodecahedron
Truncated Icosahedron
Rhombicosidodecahedron
Truncated Icosidodecahedron
Truncated Tetrahedron
The Truncated Tetrahedron has 12 vertices, 18 edges and 8 faces: 4 triangles, 4 hexagons.
To construct the Truncated Tetrahedron, you need: 
12 
18 (G0, G1 or G2 size)
Cuboctahedron
The Cuboctahedron has 12 vertices, 24 edges and 14 faces: 8 triangles, 6 squares.
To construct the Cuboctahedron, you need: 12 24 (G0, G1 or G2 size)
Truncated Cube
The Truncated Cube has 24 vertices, 36 edges and 14 faces: 8 triangles, 6 octagons.
To construct the Truncated Cube, you need: 24 
24 (B2) 24 (G1)
Truncated Octahedron
The Truncated Octahedron has 24 vertices, 36 edges and has 14 faces: 6 squares, 8 hexagons.
To construct the Truncated Octahedron, you need: 24 36 (G0, G1 or G2 size)
Rhombicuboctahedron
The Rhombicuboctahedron has 24 vertices, 48 edges and 26 faces: 8 triangles, 18 squares.
To construct the Rhombicuboctahedron, you need: 15 25 (B0, B1 or B2 size)
Truncated Cuboctahedron
The Truncated Cuboctahedron has 48 vertices, 72 edges and has 26 faces: 12 squares, 8 hexagons, 6 octagons.
To construct the Truncated Cuboctahedron, you need: 48 24 (B2) 48 (G1)
Icosidodecahedron
The Icosidodecahedron has 30 vertices, 60 edges and has 32 faces: 20 triangles, 12 pentagons.
To construct the Icosidodecahedron, you need: 30 60 (B0, B1 or B2 size)
Truncated Dodecahedron
The Truncated Dodecahedron has 60 vertices, 90 edges and has 32 faces: 20 triangles, 12 decagons.
To construct the Truncated Dodecahedron, you need: 60 90 ((B0, B1 or B2 size)
Truncated Icosahedron
The Truncated Icosahedron has 60 vertices, 90 edges and has 32 faces: 12 pentagons, 20 hexagons.
To construct the Truncated Icosahedron, you need: 60 90 (B0, B1 or B2 size)
Rhombicosidodecahedron
The Rhombicosidodecahedron has 60 vertices, 120 edges and has 62 faces: 20 triangles, 30 squares, 12 pentagons.
To construct the Rhombicosidodecahedron, you need: 60 120 (B0, B1 or B2 size)
Truncated Icosidodecahedron
The Truncated Icosidodecahedron has 120 vertices, 180 edges and has 62 faces: 30 squares, 20 hexagons, 12 decagons.
To construct the Truncated Icosidodecahedron, you need: 120 180 (B0, B1 or B2 size)