Archimedean Solids (Semiregular) W6 To W18
Index | Name | Picture | Dual name | Dual picture | Wythoff symbol | Vertex figure | Symmetry group | U# | K# | V | E | F | Faces by type |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6 | Truncated tetrahedron | triakis tetrahedron | 2 3|3 | 3.6.6 |
Td | U02 | K07 | 12 | 18 | 8 | 4{3} + 4{6} | ||
7 | Truncated octahedron | tetrakis hexahedron | 2 4|3 | 4.6.6 |
Oh | U08 | K13 | 24 | 36 | 14 | 6{4} + 8{6} | ||
8 | Truncated hexahedron | triakis octahedron | 2 3|4 | 3.8.8 |
Oh | U09 | K14 | 24 | 36 | 14 | 8{3} + 6{8} | ||
9 | Truncated icosahedron | pentakis dodecahedron | 2 5|3 | 5.6.6 |
Ih | U25 | K30 | 60 | 90 | 32 | 12{5} + 20{6} | ||
10 | Truncated dodecahedron | triakis icosahedron | 2 3|5 | 3.10.10 |
Ih | U26 | K31 | 60 | 90 | 32 | 20{3} + 12{10} | ||
11 | Cuboctahedron | rhombic dodecahedron | 2|3 4 | 3.4.3.4 |
Oh | U07 | K12 | 12 | 24 | 14 | 8{3} + 6{4} | ||
12 | Icosidodecahedron | rhombic triacontahedron | 2|3 5 | 3.5.3.5 |
Ih | U24 | K29 | 30 | 60 | 32 | 20{3} + 12{5} | ||
13 | Small rhombicuboctahedron | deltoidal icositetrahedron | 3 4|2 | 3.4.4.4 |
Oh | U10 | K15 | 24 | 48 | 26 | 8{3}+(6+12){4} | ||
14 | Small rhombicosidodecahedron | deltoidal hexecontahedron | 3 5|2 | 3.4.5.4 |
Ih | U27 | K32 | 60 | 120 | 62 | 20{3} + 30{4} + 12{5} | ||
15 | Great rhombicuboctahedron (Rhombitruncated cuboctahedron) (Truncated cuboctahedron) |
disdyakis dodecahedron | 2 3 4| | 4.6.8 |
Oh | U11 | K16 | 48 | 72 | 26 | 12{4} + 8{6} + 6{8} | ||
16 | Great rhombicosidodecahedron (Rhombitruncated icosidodecahedron) (Truncated icosidodecahedron) |
disdyakis triacontahedron | 2 3 5| | 4.6.10 |
Ih | U28 | K33 | 120 | 180 | 62 | 30{4} + 20{6} + 12{10} | ||
17 | Snub cube | pentagonal icositetrahedron | |2 3 4 | 3.3.3.3.4 |
O | U12 | K17 | 24 | 60 | 38 | (8 + 24){3} + 6{4} | ||
18 | Snub dodecahedron | pentagonal hexecontahedron | |2 3 5 | 3.3.3.3.5 |
I | U29 | K34 | 60 | 150 | 92 | (20 + 60){3} + 12{5} |
Read more about this topic: List Of Wenninger Polyhedron Models