Archimedean Polyhedra

The 13 Archimedean solids are convex uniform polyhedra composed of two or more types of regular polygons meeting at identical vertices. Discovered initially by Archimedes and rediscovered during the Renaissance, these shapes form the transitional stages between the regular Platonic families.

U02 Truncated Tetrahedron
02 - Truncated Tetrahedron
V: 12  |  E: 18  |  F: 8
Vertex Config: 3 · 6 · 6
Bowers: tut  |  TOCID: tT
Wythoff: 2 3 | 3
Kaleido: K07  |  Wenninger: 6
Dual: (Triakis Tetrahedron) Triakis Tetrahedron
U07 Cuboctahedron
07 - Cuboctahedron
V: 12  |  E: 24  |  F: 14
Vertex Config: 3 · 4 · 3 · 4
Bowers: co  |  TOCID: CO
Wythoff: 2 | 3 4
Kaleido: K12  |  Wenninger: 11
Dual: (Rhombic Dodecahedron) Rhombic Dodecahedron
U08 Truncated Octahedron
08 - Truncated Octahedron
V: 24  |  E: 36  |  F: 14
Vertex Config: 4 · 6 · 6
Bowers: toe  |  TOCID: tO
Wythoff: 2 4 | 3
Kaleido: K13  |  Wenninger: 7
Dual: (Tetrakis Hexahedron) Tetrakis Hexahedron
U09 Truncated Cube
09 - Truncated Cube
V: 24  |  E: 36  |  F: 14
Vertex Config: 3 · 8 · 8
Bowers: tic  |  TOCID: tC
Wythoff: 2 3 | 4
Kaleido: K14  |  Wenninger: 8
Dual: (Triakis Octahedron) Triakis Octahedron
U10 Small Rhombicuboctahedron
10 - Small Rhombicuboctahedron
V: 24  |  E: 48  |  F: 26
Vertex Config: 3 · 4 · 4 · 4
Bowers: sirco  |  TOCID: rCO
Wythoff: 3 4 | 2
Kaleido: K15  |  Wenninger: 13
Dual: (Deltoidal Icositetrahedron) Deltoidal Icositetrahedron
U11 Great Rhombicuboctahedron
11 - Great Rhombicuboctahedron
V: 48  |  E: 72  |  F: 26
Vertex Config: 4 · 6 · 8
Bowers: girco  |  TOCID: tCO
Wythoff: 2 3 4 |
Kaleido: K16  |  Wenninger: 14
aka: Rhombitruncated Cuboctahedron
Dual: (Disdyakis Dodecahedron) Disdyakis Dodecahedron
U12 Snub Cube
12 - Snub Cube
V: 24  |  E: 60  |  F: 38
Vertex Config: 3 · 3 · 3 · 3 · 4
Bowers: snic  |  TOCID: sCO
Wythoff: | 2 3 4
Kaleido: K17  |  Wenninger: 17
aka: Snub Cuboctahedron
Dual: (Pentagonal Icositetrahedron) Pentagonal Icositetrahedron
U24 Icosidodecahedron
24 - Icosidodecahedron
V: 30  |  E: 60  |  F: 32
Vertex Config: 3 · 5 · 3 · 5
Bowers: id  |  TOCID: ID
Wythoff: 2 | 3 5
Kaleido: K29  |  Wenninger: 12
Dual: (Rhombic Triacontahedron) Rhombic Triacontahedron
U25 Truncated Icosahedron
25 - Truncated Icosahedron
V: 60  |  E: 90  |  F: 32
Vertex Config: 5 · 6 · 6
Bowers: ti  |  TOCID: tI
Wythoff: 2 5 | 3
Kaleido: K30  |  Wenninger: 9
Dual: (Pentakis Dodecahedron) Pentakis Dodecahedron
U26 Truncated Dodecahedron
26 - Truncated Dodecahedron
V: 60  |  E: 90  |  F: 32
Vertex Config: 3 · 10 · 10
Bowers: tid  |  TOCID: tD
Wythoff: 2 3 | 5
Kaleido: K31  |  Wenninger: 10
Dual: (Triakis Icosahedron) Triakis Icosahedron
U27 Small Rhombicosidodecahedron
27 - Small Rhombicosidodecahedron
V: 60  |  E: 120  |  F: 62
Vertex Config: 3 · 4 · 5 · 4
Bowers: sird  |  TOCID: rID
Wythoff: 3 5 | 2
Kaleido: K32  |  Wenninger: 15
Dual: (Deltoidal Hexecontahedron) Deltoidal Hexecontahedron
U28 Truncated Icosidodecahedron
28 - Truncated Icosidodecahedron
V: 120  |  E: 180  |  F: 62
Vertex Config: 4 · 6 · 10
Bowers: grid  |  TOCID: tID
Wythoff: 2 3 5 |
Kaleido: K33  |  Wenninger: 16
aka: Rhombitruncated Icosidodecahedron
Dual: (Disdyakis Triacontahedron) Disdyakis Triacontahedron
U29 Snub Dodecahedron
29 - Snub Dodecahedron
V: 60  |  E: 150  |  F: 92
Vertex Config: 3 · 3 · 3 · 3 · 5
Bowers: snid  |  TOCID: sID
Wythoff: | 2 3 5
Kaleido: K34  |  Wenninger: 18
aka: Snub Icosidodecahedron
Dual: (Pentagonal Hexecontahedron) Pentagonal Hexecontahedron