Uniform Polyhedron and Tiling Examples
This table shows the truncation progression between the regular forms, with the rectified forms (full truncation) in the center. Comparable faces are colored red and yellow to show the continuum in the sequences.
Family | Original | Truncation | Rectification | Bitruncation (truncated dual) |
Birectification (dual) |
---|---|---|---|---|---|
Tetrahedron |
Truncated tetrahedron |
Octahedron |
Truncated tetrahedron |
Tetrahedron |
|
Cube |
Truncated cube |
Cuboctahedron |
Truncated octahedron |
Octahedron |
|
Dodecahedron |
Truncated dodecahedron |
Icosidodecahedron |
Truncated icosahedron |
Icosahedron |
|
Hexagonal tiling |
Truncated hexagonal tiling |
Trihexagonal tiling |
Hexagonal tiling |
Triangular tiling |
|
Order-3 heptagonal tiling |
Order-3 truncated heptagonal tiling |
Triheptagonal tiling |
Order-7 truncated triangular tiling |
Order-7 triangular tiling |
|
Order-3 Octagonal tiling |
Order-3 truncated Octagonal tiling |
Trioctagonal tiling |
Order-8 truncated triangular tiling |
Order-8 triangular tiling |
|
Square tiling |
Truncated square tiling |
Square tiling |
Truncated square tiling |
Square tiling |
|
pentagonal |
truncated pentagonal |
Rectified pentagonal |
Truncated square |
Square |
|
Pentagonal |
Truncated pentagonal |
Rectified pentagonal |
Truncated pentagonal |
Pentagonal |
Read more about this topic: Truncation (geometry)
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