User:The Nth User/Extended Archimedean solid table
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More information Symmetry, Triangular dihedral symmetry ...
Symmetry | Triangular dihedral symmetry![]() |
Tetrahedral![]() |
Octahedral![]() |
Icosahedral![]() |
p6m symmetry![]() |
[3,7] symmetry![]() |
[3,8] symmetry![]() | |||||||
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Starting solid Operation | Symbol {p,q} ![]() ![]() ![]() ![]() ![]() |
Triangular hosohedron {2,3} ![]() | Triangular dihedron {3,2} ![]() | Tetrahedron {3,3} ![]() | Cube {4,3} ![]() | Octahedron {3,4} ![]() | Dodecahedron {5,3} ![]() | Icosahedron {3,5} ![]() | Hexagonal tiling {6,3} ![]() | Triangular tiling {3,6} ![]() | Heptagonal tiling {7,3} ![]() | Order-7 triangular tiling {3,7} ![]() | Octagonal tiling {8,3} ![]() | Order-8 triangular tiling {3,8} ![]() |
Truncation (t) | t{p,q}![]() ![]() ![]() ![]() ![]() |
triangular prism![]() | truncated triangular dihedron![]() | truncated tetrahedron![]() | truncated cube![]() | truncated octahedron![]() | truncated dodecahedron![]() | truncated icosahedron![]() | Truncated hexagonal tiling![]() | Truncated triangular tiling![]() | Truncated heptagonal tiling![]() | Truncated order-7 triangular tiling![]() | Truncated octagonal tiling![]() | Truncated order-8 triangular tiling![]() |
Rectification (r) Ambo (a) | r{p,q}![]() ![]() ![]() ![]() ![]() |
tridihedron![]() | tetratetrahedron![]() | cuboctahedron![]() | icosidodecahedron![]() | Trihexagonal tiling![]() | Triheptagonal tiling![]() | Trioctagonal tiling![]() | ||||||
Bitruncation (2t) Dual kis (dk) | 2t{p,q}![]() ![]() ![]() ![]() ![]() |
truncated triangular dihedron![]() | triangular prism![]() | truncated tetrahedron![]() | truncated octahedron![]() | truncated cube![]() | truncated icosahedron![]() | truncated dodecahedron![]() | truncated triangular tiling![]() | truncated hexagonal tiling![]() | Truncated order-7 triangular tiling![]() | Truncated heptagonal tiling![]() | Truncated order-8 triangular tiling![]() | Truncated octagonal tiling![]() |
Birectification (2r) Dual (d) | 2r{p,q}![]() ![]() ![]() ![]() ![]() |
triangular dihedron {3,2} ![]() | triangular hosohedron {2,3} ![]() | tetrahedron![]() | octahedron![]() | cube![]() | icosahedron![]() | dodecahedron![]() | triangular tiling![]() | hexagonal tiling![]() | Order-7 triangular tiling![]() | Heptagonal tiling![]() | Order-8 triangular tiling![]() | Octagonal tiling![]() |
Cantellation (rr) Expansion (e) | rr{p,q}![]() ![]() ![]() ![]() ![]() |
triangular prism![]() | rhombitetratetrahedron![]() | rhombicuboctahedron![]() | rhombicosidodecahedron ![]() | rhombitrihexagonal tiling![]() | Rhombitriheptagonal tiling ![]() | Rhombitrioctagonal tiling ![]() | ||||||
Snub rectified (sr) Snub (s) | sr{p,q}![]() ![]() ![]() ![]() ![]() |
triangular antiprism![]() | snub tetratetrahedron![]() | snub cuboctahedron![]() | snub icosidodecahedron![]() | snub trihexagonal tiling![]() | Snub triheptagonal tiling![]() | Snub trioctagonal tiling![]() | ||||||
Cantitruncation (tr) Bevel (b) | tr{p,q}![]() ![]() ![]() ![]() ![]() |
hexagonal prism![]() | truncated tetratetrahedron![]() | truncated cuboctahedron![]() | truncated icosidodecahedron![]() | truncated trihexagonal tiling![]() | Truncated triheptagonal tiling![]() | Truncated trioctagonal tiling![]() |
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