Rhombitruncated Examples
These forms start with a rectified regular form which is truncated. The vertices are order-4, and a true geometric truncation would create rectangular faces. The uniform rhombitruction requires adjustment to create square faces.
| Original | Rectification | Rhombitruncation |
|---|---|---|
Truncated octahedron |
||
Cuboctahedron |
Truncated cuboctahedron |
|
Icosidodecahedron |
Truncated icosidodecahedron |
|
Trihexagonal tiling |
Truncated trihexagonal tiling or great rhombitrihexagonal tiling |
|
Triheptagonal tiling |
Truncated triheptagonal tiling or great rhombitriheptagonal tiling |
|
Trioctagonal tiling |
Truncated trioctagonal tiling or great rhombitrioctagonal tiling |
|
Square tiling |
Truncated square tiling |
|
Tetrapentagonal tiling |
Truncated tetrapentagonal tiling |
|
Order-4 pentagonal tiling |
Order-4 truncated pentagonal tiling |
Read more about this topic: Truncation (geometry)
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“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (1896–1966)