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==Related tilings and polyhedra== ...d, and as two times infinity is also infinity, the [[truncation (geometry)|truncated]] and [[omnitruncation|omnitruncated]] forms are also duplicated, therefore ...

Type=[[Uniform tilings in hyperbolic plane|Dual semiregular hyperbolic tiling]]| Dual=[[truncated tetrapentagonal tiling]]| ...

== Related tilings and polyhedra == ...d, and as two times infinity is also infinity, the [[truncation (geometry)|truncated]] and [[omnitruncation|omnitruncated]] forms are also duplicated, therefore ...

[[Image:Birectified cube sequence.png|thumb|A ''bitruncated [[cube]]'' is a truncated [[octahedron]].]] ...cells become orange truncated octahedra, and vertices are replaced by blue truncated octahedra.]] ...

[[File:Chamfered and truncated square tilings.svg|thumb|The [[truncated square tiling]] is drawn over an equilateral chamfered square tiling.]] ...r to a truncated square tiling, except only half of the vertices have been truncated, leading to its descriptive name ''semitruncated square tiling''. ...

Type=[[Uniform tilings in hyperbolic plane|Dual semiregular hyperbolic tiling]]| Dual=[[Truncated triheptagonal tiling]]| ...

== Related tilings and polyhedra == ...d, and as two times infinity is also infinity, the [[truncation (geometry)|truncated]] and [[omnitruncation|omnitruncated]] forms are also duplicated, therefore ...

...BR>[[truncated 16-cell|t_0,1{3,3,4}]] [[File:Schlegel half-solid truncated 16-cell.png|40px]]<BR>[[octahedral prism|{3,4}×{}]] [[File:Octahedral pris ...ahedron]] [[File:Octahedron.png|20px]]<BR>[[Truncated tetrahedron]] [[File:Truncated tetrahedron.png|20px]]<BR>[[Triangular prism]] [[File:Triangular prism.png| ...

|bgcolor=#e7dcc3|4-face type||[[Truncated tesseract|t{4,3,3}]]<BR>[[cantitruncated 24-cell|tr{3,4,3}]]<BR>[[tetrahedr ...s a [[cantitruncation]] of the regular [[24-cell honeycomb]], containing [[truncated tesseract]], [[cantitruncated 24-cell]], and [[tetrahedral prism]] cells. ...

|bgcolor=#e7dcc3|4-face type||[[truncated tesseract|t{4,3,3}]]<BR>[[bitruncated 24-cell|2t{3,4,3}]] |bgcolor=#e7dcc3|Cell type||[[truncated cube|t{4,3}]]<BR>[[tetrahedron|{3,3}]] ...

...ted 16-cell.png|40px]]<BR>[[Truncated 16-cell]] [[File:Schlegel half-solid truncated 16-cell.png|40px]] ...[[File:Truncated tetrahedron.png|20px]]<BR>[[Truncated octahedron]] [[File:Truncated octahedron.png|20px]] ...

...olor=#e7dcc3|4-face type||[[Truncated 24-cell]] [[File:Schlegel half-solid truncated 24-cell.png|40px]]<BR>[[Bitruncated tesseract]] [[File:Schlegel half-solid ...[[File:Truncated octahedron.png|20px]]<BR>[[Truncated tetrahedron]] [[File:Truncated tetrahedron.png|20px]] ...

...w.math.nus.edu.sg/aslaksen/papers/Demiregular.pdf In Search of Demiregular Tilings] #1</ref><ref>Chavey (1989)</ref> ...exists in this 2-uniform tiling. There are 2 [[#Related tilings|3-uniform tilings]] that contain both of these vertex figures among one more. ...

...s of 90°, 120°, and 60° respectively, from the regular polygons within the tilings: |+ Petrie polygons of the three regular tilings of the plane ...

...d two regular polygon caps. It can be seen as a '''[[truncation (geometry)|truncated]] [[hosohedron|hexagonal hosohedron]]''', represented by [[Schläfli symbol |[[File:Truncated triangle prism.png|100px]] ...

...s composed of n-[[simplex]] facets, along with all [[Truncation (geometry)|truncated]] n-simplices. ...ch_11|3ab|nodes|3ab|nodes|split2|node}}, filling space by [[6-simplex]], [[truncated 6-simplex]], [[bitruncated 6-simplex]], and [[tritruncated 6-simplex]] face ...

...reduced. Edges are bevelled, forming new yellow square faces. Vertices are truncated, forming new blue triangle faces.]] ...antellated. Edges are bevelled, forming new blue cubic cells. Vertices are truncated, forming new red [[cuboctahedron|rectified cube]] cells.]] ...

==Isogonal polyhedra and 2D tilings== |+ Isogonal tilings ...

...[[regular polygon]] faces. Different authors have listed different sets of tilings. A more systematic approach looking at [[symmetry orbit]]s are the [[2-unif == 20 2-uniform tilings== ...

...w.math.nus.edu.sg/aslaksen/papers/Demiregular.pdf In Search of Demiregular Tilings] #4</ref><ref>Chavey (1989)</ref> Its two [[vertex configuration]]s are shared with two 1-uniform tilings: ...