Truncation (geometry) - Uniform Polyhedron and Tiling Examples

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.

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

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