Template:Uniform hyperbolic tiles db

{{{{{1}}}|{{{2}}}|

|U73_0-name=Heptagonal tiling| |U73_0-image2=Heptagonal tiling.svg| |U73_0-image=Heptagonal tiling.svg| |U73_0-vfigimage=Heptagonal tiling vertfig.png| |U73_0-dimage=Order-7 triangular tiling.svg| |U73_0-vfig=7³| |U73_0-Wythoff= 3 | 7 2| |U73_0-group=[7,3], (*732)| |U73_0-rotgroup=[7,3]⁺, (732)| |U73_0-special=| |U73_0-schl={7,3}| |U73_0-dual=Order-7 triangular tiling| |U73_0-CD= |U73_0-CDf=

|U73_2-name=Order-7 triangular tiling| |U73_2-image2=Order-7 triangular tiling.svg| |U73_2-image=Order-7 triangular tiling.svg| |U73_2-imagecaption= |U73_2-vfigimage=Order-7 Triangular tiling vertfig.png| |U73_2-dimage=Heptagonal tiling.svg| |U73_2-vfig=3⁷| |U73_2-Wythoff= 7 | 3 2 |U73_2-group=[7,3], (*732)| |U73_2-rotgroup=[7,3]⁺, (732)| |U73_2-special=| |U73_2-schl={3,7}| |U73_2-dual=Heptagonal tiling| |U73_2-CD= |U73_2-CDf=

|U73_01-name=Truncated heptagonal tiling| |U73_01-image2=Truncated heptagonal tiling.svg| |U73_01-image=Truncated heptagonal tiling.svg| |U73_01-imagecaption= |U73_01-vfigimage=Truncated heptagonal tiling vertfig.png| |U73_01-dimage=Ord7 triakis triang til.png| |U73_01-vfig=3.14.14| |U73_01-Wythoff= 2 3 | 7| |U73_01-group=[7,3], (*732)| |U73_01-rotgroup=[7,3]⁺, (732)| |U73_01-special=| |U73_01-schl=t{7,3}| |U73_01-dual=Order-7 triakis triangular tiling| |U73_01-CD= |U73_01-CDf=

|U73_12-name=Truncated order-7 triangular tiling| |U73_12-image2=Truncated order-7 triangular tiling.svg| |U73_12-image=Truncated order-7 triangular tiling.svg| |U73_12-imagecaption= |U73_12-vfigimage=Order-7 truncated triangular tiling vertfig.png| |U73_12-dimage=Order3 heptakis heptagonal til.png| |U73_12-vfig=7.6.6| |U73_12-Wythoff= 2 7 | 3 |U73_12-group=[7,3], (*732)| |U73_12-rotgroup=[7,3]⁺, (732)| |U73_12-special=| |U73_12-schl=t{3,7}| |U73_12-dual=Heptakis heptagonal tiling| |U73_12-CD= |U73_12-CDf=

|U73_1-name=Triheptagonal tiling| |U73_1-image2=Triheptagonal tiling.svg| |U73_1-image=Triheptagonal tiling.svg| |U73_1-imagecaption= |U73_1-vfigimage=Triheptagonal tiling vertfig.png| |U73_1-dimage=Order73_qreg_rhombic_til.png| |U73_1-vfig=(3.7)²| |U73_1-Wythoff= 2 | 7 3| |U73_1-group=[7,3], (*732)| |U73_1-rotgroup=[7,3]⁺, (732)| |U73_1-special=edge-transitive| |U73_1-schl=r{7,3} or ${\begin{Bmatrix}7\\3\end{Bmatrix}}$ | |U73_1-dual=Order-7-3 rhombille tiling| |U73_1-CD= or |U73_1-CDf=

|U73_02-name=Rhombitriheptagonal tiling| |U73_02-image2=Rhombitriheptagonal tiling.svg| |U73_02-image=Rhombitriheptagonal tiling.svg| |U73_02-imagecaption= |U73_02-vfigimage=Small rhombitriheptagonal tiling vertfig.png| |U73_02-dimage=Deltoidal triheptagonal til.png| |U73_02-vfig=3.4.7.4| |U73_02-Wythoff= 3 | 7 2| |U73_02-group=[7,3], (*732)| |U73_02-rotgroup=[7,3]⁺, (732)| |U73_02-special=| |U73_02-schl=rr{7,3} or $r{\begin{Bmatrix}7\\3\end{Bmatrix}}$ |U73_02-dual=Deltoidal triheptagonal tiling| |U73_02-CD= or |U73_02-CDf=

|U73_012-name=Truncated triheptagonal tiling| |U73_012-image2=Truncated triheptagonal tiling.svg| |U73_012-image=Truncated triheptagonal tiling.svg| |U73_012-imagecaption= |U73_012-vfigimage=Great rhombitriheptagonal tiling vertfig.png| |U73_012-dimage=Heptakis heptagonal tiling.png| |U73_012-vfig=4.6.14| |U73_012-Wythoff= 2 7 3 || |U73_012-group=[7,3], (*732)| |U73_012-rotgroup=[7,3]⁺, (732)| |U73_012-special=| |U73_012-schl=tr{7,3} or $t{\begin{Bmatrix}7\\3\end{Bmatrix}}$ | |U73_012-dual=Order 3-7 kisrhombille| |U73_012-CD= or |U73_012-CDf=

|U73_s-name=Snub triheptagonal tiling| |U73_s-image=Snub triheptagonal tiling.svg| |U73_s-image2=Snub triheptagonal tiling.svg| |U73_s-imagecaption= |U73_s-vfigimage=Snub heptagonal tiling vertfig.png| |U73_s-dimage=Ord7 3 floret penta til.png| |U73_s-vfig=3.3.3.3.7| |U73_s-Wythoff= | 7 3 2| |U73_s-group=[7,3]⁺, (732)| |U73_s-rotgroup=[7,3]⁺, (732)| |U73_s-special=Chiral| |U73_s-schl=sr{7,3} or $s{\begin{Bmatrix}7\\3\end{Bmatrix}}$ | |U73_s-dual=Order-7-3 floret pentagonal tiling| |U73_s-CD= or |U73_s-CDf=

|U83_0-name=Octagonal tiling| |U83_0-image2=H2-8-3-dual.svg| |U83_0-image=H2-8-3-dual.svg| |U83_0-imagecaption= |U83_0-vfigimage=octagonal tiling vertfig.png| |U83_0-dimage=Uniform tiling 83-t2.png| |U83_0-vfig=8³| |U83_0-Wythoff= 3 | 8 2
2 8 | 4
4 4 4 || |U83_0-group=[8,3], (*832)
[8,4], (*842)
[(4,4,4)], (*444)| |U83_0-rotgroup=[8,3]⁺, (832)
[8,4]⁺, (842)
[(4,4,4)]⁺, (444)| |U83_0-special=| |U83_0-schl={8,3}
t{4,8}| |U83_0-dual=Order-8 triangular tiling| |U83_0-CD=

|U83_0-CDf=

|U83_2-name=Order-8 triangular tiling| |U83_2-image2=H2-8-3-primal.svg| |U83_2-image=H2-8-3-primal.svg| |U83_2-imagecaption= |U83_2-vfigimage=Order-8 Triangular tiling vertfig.png| |U83_2-dimage=Uniform tiling 83-t0.png| |U83_2-vfig=3⁸| |U83_2-Wythoff= 8 | 3 2
4 | 3 3 |U83_2-group=[8,3], (*832)
[(4,3,3)], (*433)
[(4,4,4)], (*444)| |U83_2-rotgroup=[8,3]⁺, (832)
[(4,3,3)]⁺, (433)
[(4,4,4)]⁺, (444)| |U83_2-special=| |U83_2-schl={3,8}
(3,4,3)| |U83_2-dual=Octagonal tiling| |U83_2-CD=
|U83_2-CDf=

|U83_01-name=Truncated octagonal tiling| |U83_01-image2=H2-8-3-trunc-dual.svg| |U83_01-image=H2-8-3-trunc-dual.svg| |U83_01-imagecaption= |U83_01-vfigimage=Truncated octagonal tiling vertfig.png| |U83_01-dimage=| |U83_01-vfig=3.16.16| |U83_01-Wythoff= 2 3 | 8| |U83_01-group=[8,3], (*832)| |U83_01-rotgroup=[8,3]⁺, (832)| |U83_01-special=| |U83_01-schl=t{8,3}| |U83_01-dual=Order-8 triakis triangular tiling| |U83_01-CD= |U83_01-CDf=

|U83_12-name=Truncated order-8 triangular tiling| |U83_12-image2=H2-8-3-trunc-primal.svg| |U83_12-image=H2-8-3-trunc-primal.svg| |U83_12-imagecaption= |U83_12-vfigimage=Order-8 truncated triangular tiling vertfig.png| |U83_12-dimage=| |U83_12-vfig=8.6.6| |U83_12-Wythoff= 2 8 | 3
4 3 3 | |U83_12-group=[8,3], (*832)
[(4,3,3)], (*433)| |U83_12-rotgroup=[8,3]⁺, (832)
[(4,4,3)]⁺, (443)| |U83_12-special=| |U83_12-schl=t{3,8}| |U83_12-dual=Octakis octagonal tiling| |U83_12-CD=
|U83_12-CDf=

|U83_1-name=Trioctagonal tiling| |U83_1-image2=H2-8-3-rectified.svg| |U83_1-image=H2-8-3-rectified.svg| |U83_1-imagecaption= |U83_1-vfigimage=Trioctagonal tiling vertfig.png| |U83_1-dimage=| |U83_1-vfig=(3.8)²| |U83_1-Wythoff= 2 | 8 3|
3 3 | 4| |U83_1-group=[8,3], (*832)
[(4,3,3)], (*433)| |U83_1-rotgroup=[8,3]⁺, (832)
[(4,3,3)]⁺, (433)| |U83_1-special=edge-transitive| |U83_1-schl=r{8,3} or ${\begin{Bmatrix}8\\3\end{Bmatrix}}$ | |U83_1-dual=Order-8-3 rhombille tiling| |U83_1-CD= or
|U83_1-CDf=

|U83_02-name=Rhombitrioctagonal tiling| |U83_02-image2=H2-8-3-cantellated.svg| |U83_02-image=H2-8-3-cantellated.svg| |U83_02-imagecaption= |U83_02-vfigimage=Small rhombitrioctagonal tiling vertfig.png| |U83_02-dimage=| |U83_02-vfig=3.4.8.4| |U83_02-Wythoff= 3 | 8 2| |U83_02-group=[8,3], (*832)
[8,3⁺], (3*4)| |U83_02-rotgroup=[8,3]⁺, (832)
[(4,4,3)]⁺, (443)| |U83_02-special=| |U83_02-schl=rr{8,3} or $r{\begin{Bmatrix}8\\3\end{Bmatrix}}$
s₂{3,8}| |U83_02-dual=Deltoidal trioctagonal tiling| |U83_02-CD= or
|U83_02-CDf=

|U83_012-name=Truncated trioctagonal tiling| |U83_012-image2=H2-8-3-omnitruncated.svg| |U83_012-image=H2-8-3-omnitruncated.svg| |U83_012-imagecaption= |U83_012-vfigimage=Great rhombitrioctagonal tiling vertfig.png| |U83_012-dimage=| |U83_012-vfig=4.6.16| |U83_012-Wythoff= 2 8 3 || |U83_012-group=[8,3], (*832)| |U83_012-rotgroup=[8,3]⁺, (832)| |U83_012-special=| |U83_012-schl=tr{8,3} or $t{\begin{Bmatrix}8\\3\end{Bmatrix}}$ | |U83_012-dual=Order 3-8 kisrhombille| |U83_012-CD= or |U83_012-CDf=

|U83_s-name=Snub trioctagonal tiling| |U83_s-image2=H2-8-3-snub.svg| |U83_s-image=H2-8-3-snub.svg| |U83_s-imagecaption= |U83_s-vfigimage=Snub octagonal tiling vertfig.png| |U83_s-dimage=Ord8 3 floret penta til.png| |U83_s-vfig=3.3.3.3.8| |U83_s-Wythoff= | 8 3 2| |U83_s-group=[8,3]⁺, (832)| |U83_s-rotgroup=[8,3]⁺, (832)| |U83_s-special=Chiral| |U83_s-schl=sr{8,3} or $s{\begin{Bmatrix}8\\3\end{Bmatrix}}$ | |U83_s-dual=Order-8-3 floret pentagonal tiling| |U83_s-CD= or or |U83_s-CDf=

|U54_0-name=Order-4 pentagonal tiling| |U54_0-image2=H2-5-4-dual.svg| |U54_0-image=H2-5-4-dual.svg| |U54_0-imagecaption= |U54_0-vfigimage=Order-4 pentagonal tiling vertfig.png| |U54_0-dimage=Uniform tiling 54-t2.png| |U54_0-vfig=5⁴| |U54_0-Wythoff= 4 | 5 2
2 | 5 5| |U54_0-group=[5,4], (*542)
[5,5], (*552)| |U54_0-rotgroup=[5,4]⁺, (542)
[5,5]⁺, (552)| |U54_0-special=| |U54_0-schl={5,4}
r{5,5} or ${\begin{Bmatrix}5\\5\end{Bmatrix}}$ | |U54_0-dual=Order-5 square tiling| |U54_0-CD=
or |U54_0-CDf=

|U54_2-name=Order-5 square tiling| |U54_2-image2=H2-5-4-primal.svg| |U54_2-image=H2-5-4-primal.svg| |U54_2-imagecaption= |U54_2-vfigimage=Order-5 square tiling vertfig.png| |U54_2-dimage=Uniform tiling 54-t0.png| |U54_2-vfig=4⁵| |U54_2-Wythoff= 5 | 4 2 |U54_2-group=[5,4], (*542)|| |U54_2-rotgroup=[5,4]⁺, (542)| |U54_2-special=| |U54_2-schl={4,5}| |U54_2-dual=Order-4 pentagonal tiling| |U54_2-CD= |U54_2-CDf=

|U54_01-name=Truncated pentagonal tiling| |U54_01-image2=H2-5-4-trunc-dual.svg| |U54_01-image=H2-5-4-trunc-dual.svg| |U54_01-imagecaption= |U54_01-vfigimage=Truncated pentagonal tiling vertfig.png| |U54_01-dimage=Order-5 tetrakis square tiling.png| |U54_01-vfig=4.10.10| |U54_01-Wythoff= 2 4 | 5
2 5 5 || |U54_01-group=[5,4], (*542)
[5,5], (*552)| |U54_01-rotgroup=[5,4]⁺, (542)
[5,5]⁺, (552)| |U54_01-special=| |U54_01-schl=t{5,4}| |U54_01-dual=Order-5 tetrakis square tiling| |U54_01-CD=
or |U54_01-CDf=

|U54_12-name=Truncated order-5 square tiling| |U54_12-image2=H2-5-4-trunc-primal.svg| |U54_12-image=H2-5-4-trunc-primal.svg| |U54_12-imagecaption=7 |U54_12-vfigimage=Order-5 truncated square tiling vertfig.png| |U54_12-dimage=Order-4 pentakis pentagonal tiling.png| |U54_12-vfig=8.8.5| |U54_12-Wythoff= 2 5 | 4 |U54_12-group=[5,4], (*542)| |U54_12-rotgroup=[5,4]⁺, (542)| |U54_12-special=| |U54_12-schl=t{4,5}| |U54_12-dual=Order-4 pentakis pentagonal tiling| |U54_12-CD= |U54_12-CDf=

|U54_1-name=Tetrapentagonal tiling| |U54_1-image2=H2-5-4-rectified.svg| |U54_1-image=H2-5-4-rectified.svg| |U54_1-imagecaption= |U54_1-vfigimage=Tetrapentagonal tiling vertfig.png| |U54_1-dimage=Order-5-4 quasiregular rhombic tiling.png| |U54_1-vfig=(4.5)²| |U54_1-Wythoff= 2 | 5 4
5 5 | 2| |U54_1-group=[5,4], (*542)
[5,5], (*552)| |U54_1-rotgroup=[5,4]⁺, (542)
[5,5]⁺, (552)| |U54_1-special=edge-transitive| |U54_1-schl=r{5,4} or ${\begin{Bmatrix}5\\4\end{Bmatrix}}$
rr{5,5} or $r{\begin{Bmatrix}5\\5\end{Bmatrix}}$ | |U54_1-dual=Order-5-4 rhombille tiling| |U54_1-CD= or
or |U54_1-CDf=

|U54_02-name=Rhombitetrapentagonal tiling| |U54_02-image2=H2-5-4-cantellated.svg| |U54_02-image=H2-5-4-cantellated.svg| |U54_02-imagecaption= |U54_02-vfigimage=Small rhombitetrapentagonal tiling vertfig.png| |U54_02-dimage=Deltoidal tetrapentagonal tiling.png| |U54_02-vfig=4.4.5.4| |U54_02-Wythoff= 4 | 5 2| |U54_02-group=[5,4], (*542)| |U54_02-rotgroup=[5,4]⁺, (542)| |U54_02-special=| |U54_02-schl=rr{5,4} or $r{\begin{Bmatrix}5\\4\end{Bmatrix}}$ | |U54_02-dual=Deltoidal tetrapentagonal tiling| |U54_02-CD= or |U54_02-CDf=

|U54_012-name=Truncated tetrapentagonal tiling| |U54_012-image2=H2-5-4-omnitruncated.svg| |U54_012-image=H2-5-4-omnitruncated.svg| |U54_012-imagecaption= |U54_012-vfigimage=Great rhombitetrapentagonal tiling vertfig.png| |U54_012-dimage=Order-4 bisected pentagonal tiling.png| |U54_012-vfig=4.8.10| |U54_012-Wythoff= 2 5 4 || |U54_012-group=[5,4], (*542)| |U54_012-rotgroup=[5,4]⁺, (542)| |U54_012-special=| |U54_012-schl=tr{5,4} or $t{\begin{Bmatrix}5\\4\end{Bmatrix}}$ | |U54_012-dual=Order-4-5 kisrhombille tiling| |U54_012-CD= or |U54_012-CDf=

|U54_s-name=Snub tetrapentagonal tiling| |U54_s-image2=H2-5-4-snub.svg| |U54_s-image=H2-5-4-snub.svg| |U54_s-imagecaption= |U54_s-vfigimage=Snub pentagonal tiling vertfig.png| |U54_s-dimage=Order-5-4 floret pentagonal tiling.png| |U54_s-vfig=3.3.4.3.5| |U54_s-Wythoff= | 5 4 2| |U54_s-group=[5,4]⁺, (542)| |U54_s-rotgroup=[5,4]⁺, (542)| |U54_s-special=Chiral| |U54_s-schl=sr{5,4} or $s{\begin{Bmatrix}5\\4\end{Bmatrix}}$ | |U54_s-dual=Order-5-4 floret pentagonal tiling| |U54_s-CD= or |U54_s-CDf=

|U55_0-name=Order-5 pentagonal tiling| |U55_0-image2=Uniform tiling 552-t0.png| |U55_0-image=H2 tiling 255-1.png| |U55_0-imagecaption= |U55_0-vfigimage=Order-5 pentagonal tiling vertfig.png| |U55_0-dimage=Uniform tiling 552-t2.png| |U55_0-vfig=5⁵| |U55_0-Wythoff= 5 | 5 2| |U55_0-group=[5,5], (*552)| |U55_0-rotgroup=[5,5]⁺, (552)| |U55_0-special=| |U55_0-schl={5,5}| |U55_0-dual=self dual| |U55_0-CD= |U55_0-CDf=

|U55_01-name=Truncated order-5 pentagonal tiling| |U55_01-image2=Uniform tiling 552-t01.png| |U55_01-image=H2 tiling 255-3.png| |U55_01-imagecaption= |U55_01-vfigimage=Truncated pentagonal tiling vertfig.png| |U55_01-dimage=Order-5 pentakis pentagonal tiling.png| |U55_01-vfig=5.10.10| |U55_01-Wythoff= 2 5 | 5| |U55_01-group=[5,5], (*552)| |U55_01-rotgroup=[5,5]⁺, (552)| |U55_01-special=| |U55_01-schl=t{5,5}| |U55_01-dual=Order-5 pentakis pentagonal tiling| |U55_01-CD= |U55_01-CDf=

|U55_1-name=tetrapentagonal tiling| |U55_1-image2=Uniform tiling 552-t1.png| |U55_1-image=H2 tiling 255-2.png| |U55_1-imagecaption= |U55_1-vfigimage=Tetrapentagonal tiling vertfig.png| |U55_1-dimage=Order-5-5 quasiregular rhombic tiling.png| |U55_1-vfig=5⁴| |U55_1-Wythoff= 2 | 5 5| |U55_1-group=[5,5], (*552)
[5,4], (*542)| |U55_1-rotgroup=[5,5]⁺, (552)
[5,4]⁺, (542)| |U55_1-special=edge-transitive| |U55_1-schl=r{5,5} or ${\begin{Bmatrix}5\\5\end{Bmatrix}}$ | |U55_1-dual=Order-5-5 rhombille tiling| |U55_1-CD=
= |U55_1-CDf=
=

|U55_02-name=Rhombitetrapentagonal tiling| |U55_02-image2=Uniform tiling 552-t02.png| |U55_02-image=H2 tiling 255-5.png| |U55_02-imagecaption= |U55_02-vfigimage=Small rhombitetrapentagonal tiling vertfig.png| |U55_02-dimage=Deltoidal tetrapentagonal tiling.png |U55_02-vfig=5⁴ |U55_02-Wythoff= 5 5 | 2 |U55_02-group=[5,5], (*552) |U55_02-rotgroup=[5,5]⁺, (552) |U55_02-special=| |U55_02-schl=rr{5,5} or $r{\begin{Bmatrix}5\\5\end{Bmatrix}}$ | |U55_02-dual=Deltoidal tetrapentagonal tiling| |U55_02-CD= or |U55_02-CDf=

|U55_012-name=Truncated tetrapentagonal tiling| |U55_012-image2=Uniform tiling 552-t012.png| |U55_012-image=H2 tiling 255-7.png| |U55_012-imagecaption= |U55_012-vfigimage=Great rhombitetrapentagonal tiling vertfig.png| |U55_012-dimage=Order-5 bisected pentagonal tiling.png| |U55_012-vfig=4.10.10| |U55_012-Wythoff= 2 5 5 || |U55_012-group=[5,5], (*552)| |U55_012-rotgroup=[5,5]⁺, (552) |U55_012-special=| |U55_012-schl=tr{5,5} or $t{\begin{Bmatrix}5\\5\end{Bmatrix}}$ | |U55_012-dual=Order-5-5 kisrhombille tiling| |U55_012-CD= or |U55_012-CDf=

|U55_s-name=Snub pentapentagonal tiling| |U55_s-image2=Uniform tiling 552-snub.png| |U55_s-image=Uniform tiling 552-snub.png| |U55_s-imagecaption= |U55_s-vfigimage=Snub pentagonal tiling vertfig.png| |U55_s-dimage=Order-5-5 floret pentagonal tiling.png| |U55_s-vfig=3.3.5.3.5| |U55_s-Wythoff= | 5 5 2| |U55_s-group=[5⁺,4], (5*2)
[5,5]⁺, (552) |U55_s-rotgroup=[5,5]⁺, (552) |U55_s-special=| |U55_s-schl=s{5,4}
sr{5,5}| |U55_s-dual=Order-5-5 floret pentagonal tiling| |U55_s-CD=
or |U55_s-CDf=

|U64_0-name=Order-4 hexagonal tiling| |U64_0-image2=Uniform tiling 64-t0.png| |U64_0-image=H2 tiling 246-1.png| |U64_0-imagecaption= |U64_0-vfigimage=Order-4 hexagonal tiling vertfig.png| |U64_0-dimage=Uniform tiling 64-t2.png| |U64_0-vfig=6⁴| |U64_0-Wythoff= 4 | 6 2| |U64_0-rotgroup=[6,4]⁺, (642)| |U64_0-group=[6,4], (*642)| |U64_0-special=| |U64_0-schl={6,4}| |U64_0-dual=Order-6 square tiling| |U64_0-CD= |U64_0-CDf=

|U64_2-name=Order-6 square tiling| |U64_2-image2=Uniform tiling 64-t2.png| |U64_2-image=H2 tiling 246-4.png| |U64_2-imagecaption= |U64_2-vfigimage=Order-6 square tiling vertfig.png| |U64_2-dimage=Uniform tiling 64-t0.png| |U64_2-vfig=4⁶| |U64_2-Wythoff= 6 | 4 2 |U64_2-group=[6,4], (*642)| |U64_2-rotgroup=[6,4]⁺, (642) |U64_2-special=| |U64_2-schl={4,6}| |U64_2-dual=Order-4 hexagonal tiling| |U64_2-CD= |U64_2-CDf=

|U64_01-name=Truncated order-4 hexagonal tiling| |U64_01-image2=Uniform tiling 64-t01.png| |U64_01-image=H2 tiling 246-3.png| |U64_01-imagecaption= |U64_01-vfigimage=Order-4 truncated hexagonal tiling vertfig.png| |U64_01-dimage=| |U64_01-vfig=4.12.12| |U64_01-Wythoff= 2 4 | 6
2 6 6 || |U64_01-group=[6,4], (*642)
[6,6], (*662)| |U64_01-rotgroup=[6,4]⁺, (642)
[6,6]⁺, (662)| |U64_01-special=| |U64_01-schl=t{6,4}
tr{6,6} or $t{\begin{Bmatrix}6\\6\end{Bmatrix}}$ | |U64_01-dual=Order-6 tetrakis square tiling| |U64_01-CD=
or |U64_01-CDf=

|U64_12-name=Truncated order-6 square tiling| |U64_12-image2=Uniform tiling 64-t12.png| |U64_12-image=H2 tiling 246-6.png| |U64_12-imagecaption= |U64_12-vfigimage=Order-6 truncated square tiling vertfig.png| |U64_12-dimage=| |U64_12-vfig=8.8.6| |U64_12-Wythoff= 2 6 | 4 |U64_12-group=[6,4], (*642)
[(3,3,4)], (*334)| |U64_12-rotgroup=[6,4]⁺, (642)
[(3,3,4)]⁺, (334)| |U64_12-special=| |U64_12-schl=t{4,6}| |U64_12-dual=Order-4 hexakis hexagonal tiling| |U64_12-CD= |U64_12-CDf=

|U64_1-name=Tetrahexagonal tiling| |U64_1-image2=Uniform tiling 64-t1.png| |U64_1-image=H2 tiling 246-2.png| |U64_1-imagecaption= |U64_1-vfigimage=Tetrahexagonal tiling vertfig.png| |U64_1-dimage=| |U64_1-vfig=(4.6)²| |U64_1-Wythoff= 2 | 6 4| |U64_1-group=[6,4], (*642)
[6,6], (*662)
[(4,4,3)], (*443)
[(∞,3,∞,3)], (*3232)| |U64_1-rotgroup=[6,4]⁺, (642)
[6,6]⁺, (662)
[(4,4,3)]⁺, (443)
[(∞,3,∞,3)]⁺, (3232)| |U64_1-special=edge-transitive| |U64_1-schl=r{6,4} or ${\begin{Bmatrix}6\\4\end{Bmatrix}}$
rr{6,6}
r(4,4,3)
t_0,1,2,3(∞,3,∞,3)| |U64_1-dual=Order-6-4 quasiregular rhombic tiling| |U64_1-CD= or
or

|U64_1-CDf=

|U64_02-name=Rhombitetrahexagonal tiling| |U64_02-image2=Uniform tiling 64-t02.png| |U64_02-image=H2 tiling 246-5.png| |U64_02-imagecaption= |U64_02-vfigimage=Small rhombitetrahexagonal tiling vertfig.png| |U64_02-dimage=| |U64_02-vfig=4.4.6.4| |U64_02-Wythoff= 4 | 6 2| |U64_02-group=[6,4], (*642)| |U64_02-rotgroup=[6,4]⁺, (642)| |U64_02-special=| |U64_02-schl=rr{6,4} or $r{\begin{Bmatrix}6\\4\end{Bmatrix}}$ | |U64_02-dual=Deltoidal tetrahexagonal tiling| |U64_02-CD=

|U64_02-CDf=

|U64_012-name=Truncated tetrahexagonal tiling| |U64_012-image2=Uniform tiling 64-t012.png| |U64_012-image=H2 tiling 246-7.png| |U64_012-imagecaption= |U64_012-vfigimage=Great rhombitetrahexagonal tiling vertfig.png| |U64_012-dimage=| |U64_012-vfig=4.8.12| |U64_012-Wythoff= 2 6 4 || |U64_012-group=[6,4], (*642)| |U64_012-rotgroup=[6,4]⁺, (642)| |U64_012-special=| |U64_012-schl=tr{6,4} or $t{\begin{Bmatrix}6\\4\end{Bmatrix}}$ | |U64_012-dual=Order-4-6 kisrhombille tiling| |U64_012-CD= or |U64_012-CDf=

|U64_s-name=Snub tetrahexagonal tiling| |U64_s-image2=Uniform tiling 64-snub.png| |U64_s-image=Uniform tiling 64-snub.png| |U64_s-imagecaption= |U64_s-vfigimage=Snub hexagonal tiling vertfig.png| |U64_s-dimage=| |U64_s-vfig=3.3.4.3.6| |U64_s-Wythoff= | 6 4 2| |U64_s-group=[6,4]⁺, (642)| |U64_s-rotgroup=[6,4]⁺, (642)| |U64_s-special=Chiral| |U64_s-schl=sr{6,4} or $s{\begin{Bmatrix}6\\4\end{Bmatrix}}$ | |U64_s-dual=Order-6-4 floret pentagonal tiling| |U64_s-CD= or |U64_s-CDf=

|U65_0-name=Order-5 hexagonal tiling| |U65_0-image2=Uniform tiling 65-t0.png| |U65_0-image=H2 tiling 256-1.png| |U65_0-vfigimage=Hexagonal tiling vertfig.png| |U65_0-dimage=H2chess 256b.png| |U65_0-vfig=6⁵| |U65_0-Wythoff= 5 | 6 2| |U65_0-group=[6,5], (*652)| |U65_0-rotgroup=[6,5]⁺, (652)| |U65_0-special=| |U65_0-schl={6,5}| |U65_0-dual=Order-6 pentagonal tiling| |U65_0-CD= |U65_0-CDf=

|U65_2-name=Order-6 pentagonal tiling| |U65_2-image2=Uniform tiling 65-t2.png| |U65_2-image=H2 tiling 256-4.png| |U65_2-imagecaption= |U65_2-vfigimage=Order-6 pentagonal tiling vertfig.png| |U65_2-dimage=Uniform tiling 65-t0.png| |U65_2-vfig=5⁶| |U65_2-Wythoff= 6 | 5 2 |U65_2-group=[6,5], (*652)| |U65_2-rotgroup=[6,5]⁺, (652)| |U65_2-special=| |U65_2-schl={5,6}| |U65_2-dual=Order-5 hexagonal tiling| |U65_2-CD= |U65_2-CDf=

|U65_01-name=Truncated order-5 hexagonal tiling| |U65_01-image2=Uniform tiling 65-t01.png| |U65_01-image=H2 tiling 256-3.png| |U65_01-imagecaption= |U65_01-vfigimage=Truncated Hexagonal tiling vertfig.png| |U65_01-dimage=Order-6_pentakis_pentagonal_tiling.png| |U65_01-vfig=5.12.12| |U65_01-Wythoff= 2 5 | 6| |U65_01-group=[6,5], (*652)| |U65_01-rotgroup=[6,5]⁺, (652)| |U65_01-special=| |U65_01-schl=t{6,5}| |U65_01-dual=Order-6 pentakis pentagonal tiling| |U65_01-CD= |U65_01-CDf=

|U65_12-name=Truncated order-6 pentagonal tiling| |U65_12-image2=Uniform tiling 65-t12.png| |U65_12-image=H2 tiling 256-6.png| |U65_12-imagecaption= |U65_12-vfigimage=Order-6 truncated pentagonal tiling vertfig.png| |U65_12-dimage=H2chess 256e.png| |U65_12-vfig=6.10.10| |U65_12-Wythoff= 2 6 | 5
3 5 5 | |U65_12-group=[6,5], (*652)
[(5,5,3)], (*553)| |U65_12-rotgroup=[6,5]⁺, (652)| |U65_12-special=| |U65_12-schl=t{5,6}
t(5,5,3)| |U65_12-dual=Order-5 hexakis hexagonal tiling| |U65_12-CD=
|U65_12-CDf=

|U65_1-name=Pentahexagonal tiling| |U65_1-image2=Uniform tiling 65-t1.png| |U65_1-image=H2 tiling 256-2.png| |U65_1-imagecaption= |U65_1-vfigimage=Pentahexagonal tiling vertfig.png| |U65_1-dimage=| |U65_1-vfig=(5.6²| |U65_1-Wythoff= 2 | 6 5| |U65_1-group=[6,5], (*652)| |U65_1-rotgroup=[6,5]⁺, (652)| |U65_1-special=edge-transitive| |U65_1-schl=r{6,5} or ${\begin{Bmatrix}6\\5\end{Bmatrix}}$ | |U65_1-dual=Order-6-5 rhombille tiling| |U65_1-CD= |U65_1-CDf=

|U65_02-name=Rhombipentahexagonal tiling| |U65_02-image2=Uniform tiling 65-t02.png| |U65_02-image=H2 tiling 256-5.png| |U65_02-imagecaption= |U65_02-vfigimage=Small rhombipentahexagonal tiling vertfig.png| |U65_02-dimage=Deltoidal_pentahexagonal_tiling.png| |U65_02-vfig=5.4.6.4| |U65_02-Wythoff= 5 | 6 2| |U65_02-group=[6,5], (*652)| |U65_02-rotgroup=[6,5]⁺, (652)| |U65_02-special=| |U65_02-schl=rr{6,5} or $r{\begin{Bmatrix}6\\5\end{Bmatrix}}$ |U65_02-dual=Deltoidal pentahexagonal tiling| |U65_02-CD= |U65_02-CDf=

|U65_012-name=Truncated pentahexagonal tiling| |U65_012-image2=Uniform tiling 65-t012.png| |U65_012-image=H2 tiling 256-7.png| |U65_012-imagecaption= |U65_012-vfigimage=Great rhombipentahexagonal tiling vertfig.png| |U65_012-dimage=H2checkers_256.png| |U65_012-vfig=4.10.12| |U65_012-Wythoff= 2 6 5 || |U65_012-group=[6,5], (*652)| |U65_012-rotgroup=[6,5]⁺, (652)| |U65_012-special=| |U65_012-schl=tr{6,5} or $t{\begin{Bmatrix}6\\5\end{Bmatrix}}$ | |U65_012-dual=Order 5-6 kisrhombille| |U65_012-CD= |U65_012-CDf=

|U65_s-name=Snub pentahexagonal tiling| |U65_s-image=Uniform tiling 65-snub.png| |U65_s-image2=Uniform tiling 65-snub.png| |U65_s-imagecaption= |U65_s-vfigimage=Snub Hexagonal tiling vertfig.png| |U65_s-dimage=| |U65_s-vfig=3.3.5.3.6| |U65_s-Wythoff= | 6 5 2| |U65_s-group=[6,5]⁺, (652)| |U65_s-rotgroup=[6,5]⁺, (652)| |U65_s-special=Chiral| |U65_s-schl=sr{6,5} or $s{\begin{Bmatrix}6\\5\end{Bmatrix}}$ | |U65_s-dual=Order-6-5 floret pentagonal tiling| |U65_s-CD= |U65_s-CDf=

|U66_0-name=Order-6 hexagonal tiling| |U66_0-image2=Uniform tiling 66-t2.png| |U66_0-image=H2 tiling 266-1.png| |U66_0-imagecaption= |U66_0-vfigimage=Order-6 hexagonal tiling vertfig.png| |U66_0-dimage=Uniform tiling 66-t0.png| |U66_0-vfig=6⁶| |U66_0-Wythoff= 6 | 6 2| |U66_0-group=[6,6], (*662)| |U66_0-rotgroup=[6,6]⁺, (662)| |U66_0-special=| |U66_0-schl={6,6}| |U66_0-dual=self dual| |U66_0-CD= |U66_0-CDf=

|U66_01-name=Truncated order-6 hexagonal tiling| |U66_01-image2=Uniform tiling 66-t01.png| |U66_01-image=H2 tiling 266-3.png| |U66_01-imagecaption= |U66_01-vfigimage=Truncated hexagonal tiling vertfig.png| |U66_01-dimage=| |U66_01-vfig=6.12.12| |U66_01-Wythoff= 2 6 | 6
3 6 6 || |U66_01-group=[6,6], (*662)
[(6,6,3)], (*663)| |U66_01-rotgroup=[6,6]⁺, (662)| |U66_01-special=| |U66_01-schl=t{6,6} or h₂{4,6}
t(6,6,3)| |U66_01-dual=Order-6 hexakis hexagonal tiling| |U66_01-CD= =
= |U66_01-CDf=

|U66_1-name=hexahexagonal tiling| |U66_1-image2=Uniform tiling 66-t1.png| |U66_1-image=H2 tiling 266-2.png| |U66_1-imagecaption= |U66_1-vfigimage=hexahexagonal tiling vertfig.png| |U66_1-dimage=| |U66_1-vfig=6⁴| |U66_1-Wythoff= 2 | 6 6| |U66_1-group=[6,6], (*662)| |U66_1-rotgroup=[6,6]⁺, (662)| |U66_1-special=edge-transitive| |U66_1-schl=r{6,6} or ${\begin{Bmatrix}6\\6\end{Bmatrix}}$ | |U66_1-dual=Order-6-6 quasiregular rhombic tiling| |U66_1-CD= |U66_1-CDf=

|U66_02-name=Rhombihexahexagonal tiling| |U66_02-image2=Uniform tiling 66-t02.png| |U66_02-image=H2 tiling 266-5.png| |U66_02-imagecaption= |U66_02-vfigimage=Small rhombihexahexagonal tiling vertfig.png| |U66_02-dimage=| |U66_02-vfig=(4.6)²| |U66_02-Wythoff= 6 | 6 2| |U66_02-group=[6,6], (*662)| |U66_02-rotgroup=[6,6]⁺, (662)| |U66_02-special=| |U66_02-schl=rr{6,6} or $r{\begin{Bmatrix}6\\6\end{Bmatrix}}$ | |U66_02-dual=Deltoidal hexahexagonal tiling| |U66_02-CD= |U66_02-CDf=

|U66_012-name=Truncated hexahexagonal tiling| |U66_012-image2=Uniform tiling 66-t012.png| |U66_012-image=H2 tiling 266-7.png| |U66_012-imagecaption= |U66_012-vfigimage=Great rhombihexahexagonal tiling vertfig.png| |U66_012-dimage=| |U66_012-vfig=6.12.12| |U66_012-Wythoff= 2 6 6 || |U66_012-group=[6,6], (*662)| |U66_012-rotgroup=[6,6]⁺, (662)| |U66_012-special=| |U66_012-schl=tr{6,6} or $t{\begin{Bmatrix}6\\6\end{Bmatrix}}$ | |U66_012-dual=Order-6-6 kisrhombille tiling| |U66_012-CD= |U66_012-CDf=

|U66_s-name=Snub hexahexagonal tiling| |U66_s-image2=Uniform tiling 66-snub.png| |U66_s-image=Uniform tiling 66-snub.png| |U66_s-imagecaption= |U66_s-vfigimage=Snub hexagonal tiling vertfig.png| |U66_s-dimage=| |U66_s-vfig=3.3.6.3.6| |U66_s-Wythoff= | 6 6 2| |U66_s-group=[6,6]⁺, (662)
[6⁺,4], (6*2)| |U66_s-rotgroup=[6,6]⁺, (662)| |U66_s-special=| |U66_s-schl=s{6,4}
sr{6,6}| |U66_s-dual=Order-6-6 floret hexagonal tiling| |U66_s-CD=
|U66_s-CDf=

|U74_0-name=Order-4 heptagonal tiling| |U74_0-image2=Uniform tiling 74-t0.png| |U74_0-image=H2 tiling 247-1.png| |U74_0-imagecaption= |U74_0-vfigimage=Order-4 heptagonal tiling vertfig.png| |U74_0-dimage=Uniform tiling 74-t2.png| |U74_0-vfig=7⁴| |U74_0-Wythoff= 4 | 7 2
2 | 7 7| |U74_0-group=[7,4], (*742)
[7,7], (*772)| |U74_0-rotgroup=[7,4]⁺, (742)
[7,7]⁺, (772)| |U74_0-special=| |U74_0-schl={7,4}
r{7,7}| |U74_0-dual=Order-7 square tiling| |U74_0-CD=
|U74_0-CDf=

|U74_2-name=Order-7 square tiling| |U74_2-image2=Uniform tiling 74-t2.png| |U74_2-image=H2 tiling 247-4.png| |U74_2-imagecaption= |U74_2-vfigimage=Order-7 square tiling vertfig.png| |U74_2-dimage=Uniform tiling 74-t0.png| |U74_2-vfig=4⁷| |U74_2-Wythoff= 7 | 4 2 |U74_2-group=[7,4], (*742)|| |U74_2-rotgroup=[7,4]⁺, (742)| |U74_2-special=| |U74_2-schl={4,7}| |U74_2-dual=Order-4 heptagonal tiling| |U74_2-CD= |U74_2-CDf=

|U74_01-name=Truncated heptagonal tiling| |U74_01-image2=Uniform tiling 74-t01.png| |U74_01-image=H2 tiling 247-3.png| |U74_01-imagecaption= |U74_01-vfigimage=Truncated heptagonal tiling vertfig.png| |U74_01-dimage=Hyperbolic domains 772.png| |U74_01-vfig=4.14.14| |U74_01-Wythoff= 2 4 | 7
2 7 7 || |U74_01-group=[7,4], (*742)
[7,7], (*772)| |U74_01-rotgroup=[7,4]⁺, (742)
[7,7]⁺, (772)| |U74_01-special=| |U74_01-schl=t{7,4}| |U74_01-dual=Order-7 tetrakis square tiling| |U74_01-CD=
or |U74_01-CDf=

|U74_12-name=Truncated order-7 square tiling| |U74_12-image2=Uniform tiling 74-t12.png| |U74_12-image=H2 tiling 247-6.png| |U74_12-imagecaption= |U74_12-vfigimage=Order-7 truncated square tiling vertfig.png| |U74_12-dimage=Ord4 heptakis heptagonal til.png| |U74_12-vfig=8.8.7| |U74_12-Wythoff= 2 7 | 4 |U74_12-group=[7,4], (*742) |U74_12-rotgroup=[7,4]⁺, (742) |U74_12-special=| |U74_12-schl=t{4,7}| |U74_12-dual=Order-4 heptakis heptagonal tiling |U74_12-CD= |U74_12-CDf=

|U74_1-name=Tetraheptagonal tiling| |U74_1-image2=Uniform tiling 74-t1.png| |U74_1-image=H2 tiling 247-2.png| |U74_1-imagecaption= |U74_1-vfigimage=Tetraheptagonal tiling vertfig.png| |U74_1-dimage=Ord74 qreg rhombic til.png| |U74_1-vfig=(4.7)²| |U74_1-Wythoff= 2 | 7 4
7 7 | 2| |U74_1-group=[7,4], (*742)
[7,7], (*772)| |U74_1-rotgroup=[7,4]⁺, (742)
[7,7]⁺, (772)| |U74_1-special=edge-transitive| |U74_1-schl=r{7,4} or ${\begin{Bmatrix}7\\4\end{Bmatrix}}$
rr{7,7}| |U74_1-dual=Order-7-4 rhombille tiling| |U74_1-CD=
|U74_1-CDf=

|U74_02-name=Rhombitetraheptagonal tiling| |U74_02-image2=Uniform tiling 74-t02.png| |U74_02-image=H2 tiling 247-5.png| |U74_02-imagecaption= |U74_02-vfigimage=Small rhombitetraheptagonal tiling vertfig.png| |U74_02-dimage=Deltoidal tetraheptagonal tiling.png| |U74_02-vfig=4.4.7.4| |U74_02-Wythoff= 4 | 7 2| |U74_02-group=[7,4], (*742)|| |U74_02-rotgroup=[7,4]⁺, (742)| |U74_02-special=| |U74_02-schl=rr{7,4} or $r{\begin{Bmatrix}7\\4\end{Bmatrix}}$ | |U74_02-dual=Deltoidal tetraheptagonal tiling| |U74_02-CD= |U74_02-CDf=

|U74_012-name=Truncated tetraheptagonal tiling| |U74_012-image2=Uniform tiling 74-t012.png| |U74_012-image=H2 tiling 247-7.png| |U74_012-imagecaption= |U74_012-vfigimage=Great rhombitetraheptagonal tiling vertfig.png| |U74_012-dimage=Order-4 bisected heptagonal tiling.png| |U74_012-vfig=4.8.14| |U74_012-Wythoff= 2 7 4 || |U74_012-group=[7,4], (*742)|| |U74_012-rotgroup=[7,4]⁺, (742)| |U74_012-special=| |U74_012-schl=tr{7,4} or $t{\begin{Bmatrix}7\\4\end{Bmatrix}}$ | |U74_012-dual=Order-4-7 kisrhombille tiling| |U74_012-CD= |U74_012-CDf=

|U74_s-name=Snub tetraheptagonal tiling| |U74_s-image2=Uniform tiling 74-snub.png| |U74_s-image=Uniform tiling 74-snub.png| |U74_s-imagecaption= |U74_s-vfigimage=Snub heptagonal tiling vertfig.png| |U74_s-dimage=Order-7-4 floret pentagonal tiling.png| |U74_s-vfig=3.3.4.3.7| |U74_s-Wythoff= | 7 4 2| |U74_s-group=[7,4]⁺, (742)|| |U74_s-rotgroup=[7,4]⁺, (742)| |U74_s-special=Chiral| |U74_s-schl=sr{7,4} or $s{\begin{Bmatrix}7\\4\end{Bmatrix}}$ | |U74_s-dual=Order-7-4 floret pentagonal tiling| |U74_s-CD= |U74_s-CDf=

|U77_0-name=Order-7 heptagonal tiling| |U77_0-image2=Uniform tiling 77-t2.png| |U77_0-image=H2 tiling 277-1.png| |U77_0-imagecaption= |U77_0-vfigimage=Order-7 heptagonal tiling vertfig.png| |U77_0-dimage=Uniform tiling 77-t0.png| |U77_0-vfig=7⁷| |U77_0-Wythoff= 7 | 7 2| |U77_0-group=[7,7], (*772)| |U77_0-rotgroup=[7,7]⁺, (772)| |U77_0-special=| |U77_0-schl={7,7}| |U77_0-dual=self dual| |U77_0-CD= |U77_0-CDf=

|U77_01-name=Truncated order-7 heptagonal tiling| |U77_01-image2=Uniform tiling 77-t01.png| |U77_01-image=H2 tiling 277-3.png| |U77_01-imagecaption= |U77_01-vfigimage=Truncated order-7 heptagonal tiling vertfig.png| |U77_01-dimage=Order7 heptakis heptagonal til.png| |U77_01-vfig=7.14.14| |U77_01-Wythoff= 2 7 | 7| |U77_01-group=[7,7], (*772)| |U77_01-rotgroup=[7,7]⁺, (772)| |U77_01-special=| |U77_01-schl=t{7,7}| |U77_01-dual=Order-7 heptakis heptagonal tiling| |U77_01-CD= |U77_01-CDf=

|U77_s-name=Snub heptaheptagonal tiling| |U77_s-image2=Uniform tiling 77-snub.png| |U77_s-image=Uniform tiling 77-snub.png| |U77_s-imagecaption= |U77_s-vfigimage=Snub heptaheptagonal tiling vertfig.png| |U77_s-dimage=Order-7-7 floret pentagonal tiling.png| |U77_s-vfig=3.3.7.3.7| |U77_s-Wythoff= | 7 7 2| |U77_s-group=[7,7]⁺, (772)
[7⁺,4], (7*2)| |U77_s-rotgroup=[7,7]⁺, (772)| |U77_s-special=| |U77_s-schl=sr{7,7} or $s{\begin{Bmatrix}7\\7\end{Bmatrix}}$ | |U77_s-dual=Order-7-7 floret pentagonal tiling| |U77_s-CD=
|U77_s-CDf=

|U84_0-name=Order-4 octagonal tiling| |U84_0-image2=Uniform tiling 84-t0.png| |U84_0-image=H2 tiling 248-1.png| |U84_0-imagecaption= |U84_0-vfigimage=Order-4 octagonal tiling vertfig.png| |U84_0-dimage=Uniform tiling 84-t2.png| |U84_0-vfig=8⁴| |U84_0-Wythoff= 4 | 8 2| |U84_0-group=[8,4], (*842)
[8,8], (*882)| |U84_0-rotgroup=[8,4]⁺, (842)
[8,8]⁺, (882)| |U84_0-special=| |U84_0-schl={8,4}
r{8,8}| |U84_0-dual=Order-8 square tiling| |U84_0-CD=
or |U84_0-CDf=

|U84_2-name=Order-8 square tiling| |U84_2-image2=Uniform tiling 84-t2.png| |U84_2-image=H2 tiling 248-4.png| |U84_2-imagecaption= |U84_2-vfigimage=Order-8 square tiling vertfig.png| |U84_2-dimage=Uniform tiling 84-t0.png| |U84_2-vfig=4⁸| |U84_2-Wythoff= 8 | 4 2 |U84_2-group=[8,4], (*842)| |U84_2-rotgroup=[8,4]⁺, (842)| |U84_2-special=| |U84_2-schl={4,8}| |U84_2-dual=Order-4 octagonal tiling| |U84_2-CD= |U84_2-CDf=

|U84_01-name=Truncated order-4 octagonal tiling| |U84_01-image2=Uniform tiling 84-t01.png| |U84_01-image=H2 tiling 248-3.png| |U84_01-imagecaption= |U84_01-vfigimage=Order-4 truncated octagonal tiling vertfig.png| |U84_01-dimage=| |U84_01-vfig=4.16.16| |U84_01-Wythoff= 2 8 | 8
2 8 8 || |U84_01-group=[8,4], (*842)
[8,8], (*882)| |U84_01-rotgroup=[8,4]⁺, (842)
[8,8]⁺, (882)| |U84_01-special=| |U84_01-schl=t{8,4}
tr{8,8} or $t{\begin{Bmatrix}8\\8\end{Bmatrix}}$ | |U84_01-dual=Order-8 tetrakis square tiling| |U84_01-CD=
or |U84_01-CDf=

|U84_1-name=Tetraoctagonal tiling| |U84_1-image2=Uniform tiling 84-t1.png| |U84_1-image=H2 tiling 248-2.png| |U84_1-imagecaption= |U84_1-vfigimage=Tetraoctagonal tiling vertfig.png| |U84_1-dimage=| |U84_1-vfig=(4.8)²| |U84_1-Wythoff= 2 | 8 4| |U84_1-group=[8,4], (*842)
[8,8], (*882)
[(4,4,4)], (*444)
[(∞,4,∞,4)], (*4242)| |U84_1-rotgroup=[8,4]⁺, (842)
[8,8]⁺, (882)
[(4,4,4)]⁺, (444)
[(∞,4,∞,4)]⁺, (4242)| |U84_1-special=edge-transitive| |U84_1-schl=r{8,4} or ${\begin{Bmatrix}8\\4\end{Bmatrix}}$
rr{8,8}
rr(4,4,4)
t_0,1,2,3(∞,4,∞,4)| |U84_1-dual=Order-8-4 quasiregular rhombic tiling| |U84_1-CD= or
or

|U84_1-CDf=

|U84_02-name=Rhombitetraoctagonal tiling| |U84_02-image2=Uniform tiling 84-t02.png| |U84_02-image=H2 tiling 248-5.png| |U84_02-imagecaption= |U84_02-vfigimage=Small rhombitetraoctagonal tiling vertfig.png| |U84_02-dimage=| |U84_02-vfig=4.4.8.4| |U84_02-Wythoff= 4 | 8 2| |U84_02-group=[8,4], (*842)| |U84_02-rotgroup=[8,4]⁺, (842)| |U84_02-special=| |U84_02-schl=rr{8,4} or $r{\begin{Bmatrix}8\\4\end{Bmatrix}}$ | |U84_02-dual=Deltoidal tetraoctagonal tiling| |U84_02-CD= or |U84_02-CDf=

|U84_012-name=Truncated tetraoctagonal tiling| |U84_012-image2=Uniform tiling 84-t012.png| |U84_012-image=H2 tiling 248-7.png| |U84_012-imagecaption= |U84_012-vfigimage=Great rhombitetraoctagonal tiling vertfig.png| |U84_012-dimage=| |U84_012-vfig=4.8.16| |U84_012-Wythoff= 2 8 4 || |U84_012-group=[8,4], (*842)| |U84_012-rotgroup=[8,4]⁺, (842)| |U84_012-special=| |U84_012-schl=tr{8,4} or $t{\begin{Bmatrix}8\\4\end{Bmatrix}}$ | |U84_012-dual=Order-4-8 kisrhombille tiling| |U84_012-CD= or |U84_012-CDf=

|U84_s-name=Snub tetraoctagonal tiling| |U84_s-image2=Uniform tiling 84-snub.png| |U84_s-image=Uniform tiling 84-snub.png| |U84_s-imagecaption= |U84_s-vfigimage=Order-4 snub octagonal tiling vertfig.png| |U84_s-dimage=| |U84_s-vfig=3.3.4.3.8| |U84_s-Wythoff= | 8 4 2| |U84_s-group=[8,4]⁺, (842)| |U84_s-rotgroup=[8,4]⁺, (842)| |U84_s-special=Chiral| |U84_s-schl=sr{8,4} or $s{\begin{Bmatrix}8\\4\end{Bmatrix}}$ | |U84_s-dual=Order-8-4 floret pentagonal tiling| |U84_s-CD= |U84_s-CDf=

|U85_0-name=Order-5 octagonal tiling| |U85_0-image2=Uniform tiling 85-t0.png| |U85_0-image=H2 tiling 258-1.png| |U85_0-imagecaption= |U85_0-vfigimage=Order-5 octagonal tiling vertfig.png| |U85_0-dimage=Uniform tiling 85-t2.png| |U85_0-vfig=8⁵| |U85_0-Wythoff= 5 h 8 2| |U85_0-rotgroup=[8,5]⁺, (852)| |U85_0-group=[8,5], (*852)| |U85_0-special=| |U85_0-schl={8,5}| |U85_0-dual=Order-8 pentagonal tiling| |U85_0-CD= |U85_0-CDf=

|U85_2-name=Order-8 pentagonal tiling| |U85_2-image2=Uniform tiling 85-t2.png| |U85_2-image=H2 tiling 258-4.png| |U85_2-imagecaption= |U85_2-vfigimage=Order-8 pentagonal tiling vertfig.png| |U85_2-dimage=Uniform tiling 85-t0.png| |U85_2-vfig=5⁸| |U85_2-Wythoff= 8 h 5 2 |U85_2-group=[8,5], (*852)| |U85_2-rotgroup=[8,5]⁺, (852) |U85_2-special=| |U85_2-schl={5,8}| |U85_2-dual=Order-5 octagonal tiling| |U85_2-CD= |U85_2-CDf=

|U85_01-name=Truncated order-5 octagonal tiling| |U85_01-image2=Uniform tiling 85-t01.png| |U85_01-image=H2 tiling 258-3.png| |U85_01-imagecaption= |U85_01-vfigimage=Order-5 truncated octagonal tiling vertfig.png| |U85_01-dimage=| |U85_01-vfig=5.15.15| |U85_01-Wythoff= 2 5 h 8| |U85_01-group=[8,5], (*852)| |U85_01-rotgroup=[8,5]⁺, (852)| |U85_01-special=| |U85_01-schl=t{8,5}| |U85_01-dual=Order-8 pentakis pentagonal tiling| |U85_01-CD= |U85_01-CDf=

|U85_10-name=Truncated order-8 pentagonal tiling| |U85_10-image2=Uniform tiling 85-t10.png| |U85_10-image=H2 tiling 258-5.png| |U85_10-imagecaption= |U85_10-vfigimage=Order-8 truncated pentagonal tiling vertfig.png| |U85_10-dimage=| |U85_10-vfig=8.10.10| |U85_10-Wythoff= 2 8 h 5 |U85_10-group=[8,5], (*852)| |U85_10-rotgroup=[8,5]⁺, (852)| |U85_10-special=| |U85_10-schl=t{5,8}| |U85_10-dual=Order-5 octakis octagonal tiling| |U85_10-CD= |U85_10-CDf=

|U85_1-name=pentaoctagonal tiling| |U85_1-image2=Uniform tiling 85-t1.png| |U85_1-image=H2 tiling 258-2.png| |U85_1-imagecaption= |U85_1-vfigimage=pentaoctagonal tiling vertfig.png| |U85_1-dimage=| |U85_1-vfig=(5.8)²| |U85_1-Wythoff= 2 h 8 5| |U85_1-group=[8,5], (*852)| |U85_1-rotgroup=[8,5]⁺, (852)| |U85_1-special=edge-transitive| |U85_1-schl=r{8,5} or ${\begin{Bmatrix}8\\5\end{Bmatrix}}$ | |U85_1-dual=Order-8-5 quasiregular rhombic tiling| |U85_1-CD= |U85_1-CDf=

|U85_02-name=Rhombipentaoctagonal tiling| |U85_02-image2=Uniform tiling 85-t02.png| |U85_02-image=H2 tiling 258-5.png| |U85_02-imagecaption= |U85_02-vfigimage=Small rhombipentaoctagonal tiling vertfig.png| |U85_02-dimage=| |U85_02-vfig=5.4.8.4| |U85_02-Wythoff= 5 h 8 2| |U85_02-group=[8,5], (*852)| |U85_02-rotgroup=[8,5]⁺, (852)| |U85_02-special=| |U85_02-schl=rr{8,5} or $r{\begin{Bmatrix}8\\5\end{Bmatrix}}$ | |U85_02-dual=Deltoidal pentaoctagonal tiling| |U85_02-CD= |U85_02-CDf=

|U85_010-name=Truncated pentaoctagonal tiling| |U85_010-image2=Uniform tiling 85-t010.png| |U85_010-image=H2 tiling 258-7.png| |U85_010-imagecaption= |U85_010-vfigimage=Great rhombipentaoctagonal tiling vertfig.png| |U85_010-dimage=| |U85_010-vfig=4.10.15| |U85_010-Wythoff= 2 8 5 h| |U85_010-group=[8,5], (*852)| |U85_010-rotgroup=[8,5]⁺, (852)| |U85_010-special=| |U85_010-schl=tr{8,5} or $t{\begin{Bmatrix}8\\5\end{Bmatrix}}$ | |U85_010-dual=Order-5-8 kisrhombille tiling| |U85_010-CD= |U85_010-CDf=

|U85_s-name=Snub pentaoctagonal tiling| |U85_s-image2=Uniform tiling 85-snub.png| |U85_s-image=Uniform tiling 85-snub.png| |U85_s-imagecaption= |U85_s-vfigimage=Snub octagonal tiling vertfig.png| |U85_s-dimage=| |U85_s-vfig=3.3.5.3.8| |U85_s-Wythoff= h 8 5 2| |U85_s-group=[8,5]⁺, (852)| |U85_s-rotgroup=[8,5]⁺, (852)| |U85_s-special=Chiral| |U85_s-schl=sr{8,5} or $s{\begin{Bmatrix}8\\5\end{Bmatrix}}$ | |U85_s-dual=Order-8-5 floret pentagonal tiling| |U85_s-CD= |U85_s-CDf=

|U86_0-name=Order-6 octagonal tiling| |U86_0-image2=Uniform tiling 86-t0.png| |U86_0-image=H2 tiling 268-1.png| |U86_0-imagecaption= |U86_0-vfigimage=Order-6 octagonal tiling vertfig.png| |U86_0-dimage=Uniform tiling 86-t2.png| |U86_0-vfig=8⁶| |U86_0-Wythoff= 6 | 8 2| |U86_0-rotgroup=[8,6]⁺, (862)| |U86_0-group=[8,6], (*862)| |U86_0-special=| |U86_0-schl={8,6}| |U86_0-dual=Order-8 hexagonal tiling| |U86_0-CD= |U86_0-CDf=

|U86_2-name=Order-8 hexagonal tiling| |U86_2-image2=Uniform tiling 86-t2.png| |U86_2-image=H2 tiling 268-4.png| |U86_2-imagecaption= |U86_2-vfigimage=Order-8 hexagonal tiling vertfig.png| |U86_2-dimage=Uniform tiling 86-t0.png| |U86_2-vfig=6⁸| |U86_2-Wythoff= 8 | 6 2 |U86_2-group=[8,6], (*862)| |U86_2-rotgroup=[8,6]⁺, (862) |U86_2-special=| |U86_2-schl={6,8}| |U86_2-dual=Order-6 octagonal tiling| |U86_2-CD= |U86_2-CDf=

|U86_01-name=Truncated order-6 octagonal tiling| |U86_01-image2=Uniform tiling 86-t01.png| |U86_01-image=H2 tiling 268-3.png| |U86_01-imagecaption= |U86_01-vfigimage=Order-6 truncated octagonal tiling vertfig.png| |U86_01-dimage=| |U86_01-vfig=6.16.16| |U86_01-Wythoff= 2 6 | 8| |U86_01-group=[8,6], (*862)| |U86_01-rotgroup=[8,6]⁺, (862)| |U86_01-special=| |U86_01-schl=t{8,6}| |U86_01-dual=Order-8 hexakis hexagonal tiling| |U86_01-CD= |U86_01-CDf=

|U86_12-name=Truncated order-8 hexagonal tiling| |U86_12-image2=Uniform tiling 86-t12.png| |U86_12-image=H2 tiling 268-6.png| |U86_12-imagecaption= |U86_12-vfigimage=Order-8 truncated hexagonal tiling vertfig.png| |U86_12-dimage=| |U86_12-vfig=8.12.12| |U86_12-Wythoff= 2 8 | 6 |U86_12-group=[8,6], (*862)| |U86_12-rotgroup=[8,6]⁺, (862)| |U86_12-special=| |U86_12-schl=t{6,8}| |U86_12-dual=Order-6 octakis octagonal tiling| |U86_12-CD= |U86_12-CDf=

|U86_1-name=hexaoctagonal tiling| |U86_1-image2=Uniform tiling 86-t1.png| |U86_1-image=H2 tiling 268-2.png| |U86_1-imagecaption= |U86_1-vfigimage=hexaoctagonal tiling vertfig.png| |U86_1-dimage=| |U86_1-vfig=(6.8)²| |U86_1-Wythoff= 2 | 8 6| |U86_1-group=[8,6], (*862)| |U86_1-rotgroup=[8,6]⁺, (862)| |U86_1-special=edge-transitive| |U86_1-schl=r{8,6} or ${\begin{Bmatrix}8\\6\end{Bmatrix}}$ | |U86_1-dual=Order-8-6 quasiregular rhombic tiling| |U86_1-CD= |U86_1-CDf=

|U86_02-name=Rhombihexaoctagonal tiling| |U86_02-image2=Uniform tiling 86-t02.png| |U86_02-image=H2 tiling 268-5.png| |U86_02-imagecaption= |U86_02-vfigimage=Small rhombihexaoctagonal tiling vertfig.png| |U86_02-dimage=| |U86_02-vfig=6.4.8.4| |U86_02-Wythoff= 6 | 8 2| |U86_02-group=[8,6], (*862)| |U86_02-rotgroup=[8,6]⁺, (862)| |U86_02-special=| |U86_02-schl=rr{8,6} or $r{\begin{Bmatrix}8\\6\end{Bmatrix}}$ | |U86_02-dual=Deltoidal hexaoctagonal tiling| |U86_02-CD= |U86_02-CDf=

|U86_012-name=Truncated hexaoctagonal tiling| |U86_012-image2=Uniform tiling 86-t012.png| |U86_012-image=H2 tiling 268-7.png| |U86_012-imagecaption= |U86_012-vfigimage=Great rhombihexaoctagonal tiling vertfig.png| |U86_012-dimage=| |U86_012-vfig=4.12.16| |U86_012-Wythoff= 2 8 6 || |U86_012-group=[8,6], (*862)| |U86_012-rotgroup=[8,6]⁺, (862)| |U86_012-special=| |U86_012-schl=tr{8,6} or $t{\begin{Bmatrix}8\\6\end{Bmatrix}}$ | |U86_012-dual=Order-6-8 kisrhombille tiling| |U86_012-CD= or |U86_012-CDf=

|U86_s-name=Snub hexaoctagonal tiling| |U86_s-image2=Uniform tiling 86-snub.png| |U86_s-image=Uniform tiling 86-snub.png| |U86_s-imagecaption= |U86_s-vfigimage=Snub octagonal tiling vertfig.png| |U86_s-dimage=| |U86_s-vfig=3.3.6.3.8| |U86_s-Wythoff= | 8 6 2| |U86_s-group=[8,6]⁺, (862)| |U86_s-rotgroup=[8,6]⁺, (862)| |U86_s-special=Chiral| |U86_s-schl=sr{8,6} or $s{\begin{Bmatrix}8\\6\end{Bmatrix}}$ | |U86_s-dual=Order-8-6 floret pentagonal tiling| |U86_s-CD= or |U86_s-CDf=

|U88_0-name=Order-8 octagonal tiling| |U88_0-image2=Uniform tiling 88-t2.png| |U88_0-image=H2 tiling 288-1.png| |U88_0-imagecaption= |U88_0-vfigimage=Order-8 octagonal tiling vertfig.png| |U88_0-dimage=Uniform tiling 88-t0.png| |U88_0-vfig=8⁸| |U88_0-Wythoff= 8 | 8 2| |U88_0-group=[8,8], (*882)| |U88_0-rotgroup=[8,8]⁺, (882)| |U88_0-special=| |U88_0-schl={8,8}| |U88_0-dual=self dual| |U88_0-CD= |U88_0-CDf=

|U88_01-name=Truncated order-8 octagonal tiling| |U88_01-image2=Uniform tiling 88-t01.png| |U88_01-image=H2 tiling 288-3.png| |U88_01-imagecaption= |U88_01-vfigimage=Truncated order-8 octagonal tiling vertfig.png| |U88_01-dimage=| |U88_01-vfig=8.16.16| |U88_01-Wythoff= 2 8 | 4| |U88_01-group=[8,8], (*882)
[(8,8,4)], (*884)| |U88_01-rotgroup=[8,8]⁺, (882)
[(8,8,4)]⁺, (884)| |U88_01-special=| |U88_01-schl=t{8,8}
t(8,8,4)| |U88_01-dual=Order-8 octakis octagonal tiling| |U88_01-CD=
|U88_01-CDf=

|U88_s-name=Snub octaoctagonal tiling| |U88_s-image2=Uniform tiling 88-snub.png| |U88_s-image=Uniform tiling 88-snub.png| |U88_s-imagecaption= |U88_s-vfigimage=Snub octaoctagonal tiling vertfig.png| |U88_s-dimage=| |U88_s-vfig=3.3.8.3.8| |U88_s-Wythoff= | 8 8 2| |U88_s-group=[8,8]⁺, (882)
[8⁺,4], (8*2)| |U88_s-rotgroup=[8,8]⁺, (882)| |U88_s-special=| |U88_s-schl=s{8,4}
sr{8,8}| |U88_s-dual=Order-8-8 floret hexagonal tiling| |U88_s-CD=
or |U88_s-CDf=

|Ui3_0-name=Order-3 apeirogonal tiling| |Ui3_0-image=H2-I-3-dual.svg| |Ui3_0-vfigimage=| |Ui3_0-dimage=Uniform tiling i3-t4.png| |Ui3_0-vfig=∞³| |Ui3_0-Wythoff= 3 | ∞ 2
2 ∞ | ∞
∞ ∞ ∞ || |Ui3_0-group=[∞,3], (*∞32)
[∞,∞], (*∞∞2)
[(∞,∞,∞)], (*∞∞∞)| |Ui3_0-rotgroup=[∞,3]⁺, (∞32)
[∞,∞]⁺, (∞∞2)
[(∞,∞,∞)]⁺, (∞∞∞)| |Ui3_0-special=| |Ui3_0-schl={∞,3}
t{∞,∞}
t(∞,∞,∞)| |Ui3_0-dual=Infinite-order triangular tiling| |Ui3_0-CD=

|Ui3_0-CDf=

|Ui3_2-name=Infinite-order triangular tiling| |Ui3_2-image=H2 tiling 23i-4.png| |Ui3_2-imagecaption= |Ui3_2-vfigimage=| |Ui3_2-dimage=H2-I-3-dual.svg| |Ui3_2-vfig=3^∞| |Ui3_2-Wythoff= ∞ | 3 2 |Ui3_2-group=[∞,3], (*∞32)| |Ui3_2-rotgroup=[∞,3]⁺, (∞32)| |Ui3_2-special=| |Ui3_2-schl={3,∞}| |Ui3_2-dual=Order-3 apeirogonal tiling| |Ui3_2-CD=
|Ui3_2-CDf=

|Ui3_01-name=Truncated order-3 apeirogonal tiling| |Ui3_01-image=H2 tiling 23i-3.png| |Ui3_01-imagecaption= |Ui3_01-vfigimage=| |Ui3_01-dimage=| |Ui3_01-vfig=3.∞.∞| |Ui3_01-Wythoff= 2 3 | ∞| |Ui3_01-group=[∞,3], (*∞32)| |Ui3_01-rotgroup=[∞,3]⁺, (∞32)| |Ui3_01-special=| |Ui3_01-schl=t{∞,3}| |Ui3_01-dual=Infinite-order triakis triangular tiling| |Ui3_01-CD= |Ui3_01-CDf=

|Ui3_12-name=Infinite-order truncated triangular tiling| |Ui3_12-image=H2 tiling 23i-6.png| |Ui3_12-imagecaption= |Ui3_12-vfigimage=| |Ui3_12-dimage=| |Ui3_12-vfig=∞.6.6| |Ui3_12-Wythoff= 2 ∞ | 3 |Ui3_12-group=[∞,3], (*∞32)| |Ui3_12-rotgroup=[∞,3]⁺, (∞32)| |Ui3_12-special=| |Ui3_12-schl=t{3,∞}| |Ui3_12-dual=apeirokis apeirogonal tiling| |Ui3_12-CD=
|Ui3_12-CDf=

|Ui3_1-name=Triapeirogonal tiling| |Ui3_1-image=H2 tiling 23i-2.png| |Ui3_1-imagecaption= |Ui3_1-vfigimage=| |Ui3_1-dimage=| |Ui3_1-vfig=(3.∞)²| |Ui3_1-Wythoff= 2 | ∞ 3| |Ui3_1-group=[∞,3], (*∞32)| |Ui3_1-rotgroup=[∞,3]⁺, (∞32)| |Ui3_1-special=edge-transitive| |Ui3_1-schl=r{∞,3} or ${\begin{Bmatrix}\infty \\3\end{Bmatrix}}$ | |Ui3_1-dual=Order-3-infinite rhombille tiling| |Ui3_1-CD= or
|Ui3_1-CDf=

|Ui3_02-name=Rhombitriapeirogonal tiling| |Ui3_02-image=H2 tiling 23i-5.png| |Ui3_02-imagecaption= |Ui3_02-vfigimage=| |Ui3_02-dimage=| |Ui3_02-vfig=3.4.∞.4| |Ui3_02-Wythoff= 3 | ∞ 2| |Ui3_02-group=[∞,3], (*∞32)
[∞,3⁺], (3*∞)| |Ui3_02-rotgroup=[∞,3]⁺, (∞32)
[(∞,3,3)]⁺, (∞33)| |Ui3_02-special=| |Ui3_02-schl=rr{∞,3} or $r{\begin{Bmatrix}\infty \\3\end{Bmatrix}}$
s₂{3,∞}| |Ui3_02-dual=Deltoidal triapeirogonal tiling| |Ui3_02-CD= or
|Ui3_02-CDf=

|Ui3_012-name=Truncated triapeirogonal tiling| |Ui3_012-image=H2 tiling 23i-7.png| |Ui3_012-imagecaption= |Ui3_012-vfigimage=| |Ui3_012-dimage=| |Ui3_012-vfig=4.6.∞| |Ui3_012-Wythoff= 2 ∞ 3 || |Ui3_012-group=[∞,3], (*∞32)| |Ui3_012-rotgroup=[∞,3]⁺, (∞32)| |Ui3_012-special=| |Ui3_012-schl=tr{∞,3} or $t{\begin{Bmatrix}\infty \\3\end{Bmatrix}}$ | |Ui3_012-dual=Order 3-infinite kisrhombille| |Ui3_012-CD= or |Ui3_012-CDf=

|Ui3_s-name=Snub triapeirogonal tiling| |Ui3_s-image=Uniform tiling i32-snub.png| |Ui3_s-imagecaption= |Ui3_s-vfigimage=| |Ui3_s-dimage=| |Ui3_s-vfig=3.3.3.3.∞| |Ui3_s-Wythoff= | ∞ 3 2| |Ui3_s-group=[∞,3]⁺, (∞32)| |Ui3_s-rotgroup=[∞,3]⁺, (∞32)| |Ui3_s-special=Chiral| |Ui3_s-schl=sr{∞,3} or $s{\begin{Bmatrix}\infty \\3\end{Bmatrix}}$ | |Ui3_s-dual=Order-3-infinite floret pentagonal tiling| |Ui3_s-CD= or |Ui3_s-CDf=

|Ui33_s-name=Snub triapeirotrigonal tiling |Ui33_s-image=H2 snub 33ia.png| |Ui33_s-imagecaption= |Ui33_s-vfigimage=| |Ui33_s-dimage=| |Ui33_s-vfig=3.3.3.3.3.∞| |Ui33_s-Wythoff= | ∞ 3 3| |Ui33_s-group=[(∞,3,3)]⁺, (∞33)| |Ui33_s-rotgroup=[(∞,3,3)]⁺, (∞33)| |Ui33_s-special=Chiral| |Ui33_s-schl=s{3,∞}
s(∞,3,3)| |Ui33_s-dual=Order-i-3-3_t0 dual tiling| |Ui33_s-CD=
|Ui33_s-CDf=

|Ui4_0-name=Order-4 apeirogonal tiling| |Ui4_0-image=H2 tiling 24i-1.png| |Ui4_0-vfigimage=| |Ui4_0-dimage=Uniform tiling i4-t3.png| |Ui4_0-vfig=∞⁴| |Ui4_0-Wythoff= 4 | ∞ 2
2 | ∞ ∞
∞ ∞ | ∞| |Ui4_0-group=[∞,4], (*∞42)
[∞,∞], (*∞∞2)
[(∞,∞,∞)], (*∞∞∞)
(*∞∞∞∞)| |Ui4_0-rotgroup=[∞,4]⁺, (∞42)
[∞,∞]⁺, (∞∞2)
[(∞,∞,∞)]⁺, (∞∞,∞)| |Ui4_0-special=edge-transitive| |Ui4_0-schl={∞,4}
r{∞,∞}
t(∞,∞,∞)
t_0,1,2,3(∞,∞,∞,∞)| |Ui4_0-dual=Infinite-order square tiling| |Ui4_0-CD=

|Ui4_0-CDf=

|Ui4_2-name=Infinite-order square tiling| |Ui4_2-image=H2 tiling 24i-4.png| |Ui4_2-imagecaption= |Ui4_2-vfigimage=| |Ui4_2-dimage=H2 tiling 24i-1.png| |Ui4_2-vfig=4^∞| |Ui4_2-Wythoff= ∞ | 4 2 |Ui4_2-group=[∞,4], (*∞42)| |Ui4_2-rotgroup=[∞,4]⁺, (∞42)| |Ui4_2-special=| |Ui4_2-schl={4,∞}| |Ui4_2-dual=Order-4 apeirogonal tiling| |Ui4_2-CD=
|Ui4_2-CDf=

|Ui4_01-name=Truncated order-4 apeirogonal tiling| |Ui4_01-image=H2 tiling 24i-3.png| |Ui4_01-imagecaption= |Ui4_01-vfigimage=| |Ui4_01-dimage=| |Ui4_01-vfig=4.∞.∞| |Ui4_01-Wythoff= 2 4 | ∞
2 ∞ ∞ || |Ui4_01-group=[∞,4], (*∞42)
[∞,∞], (*∞∞2)| |Ui4_01-rotgroup=[∞,4]⁺, (∞42)
[∞,∞]⁺, (∞∞2)| |Ui4_01-special=| |Ui4_01-schl=t{∞,4}
tr{∞,∞} or $t{\begin{Bmatrix}\infty \\\infty \end{Bmatrix}}$ | |Ui4_01-dual=Infinite-order tetrakis square tiling| |Ui4_01-CD=
or |Ui4_01-CDf=

|Ui4_12-name=Infinite-order truncated square tiling| |Ui4_12-image=H2 tiling 24i-6.png| |Ui4_12-imagecaption= |Ui4_12-vfigimage=| |Ui4_12-dimage=| |Ui4_12-vfig=∞.8.8| |Ui4_12-Wythoff= 2 ∞ | 4 |Ui4_12-group=[∞,4], (*∞42)| |Ui4_12-rotgroup=[∞,4]⁺, (∞42)| |Ui4_12-special=| |Ui4_12-schl=t{4,∞}| |Ui4_12-dual=apeirokis apeirogonal tiling| |Ui4_12-CD= |Ui4_12-CDf=

|Ui4_1-name=tetraapeirogonal tiling| |Ui4_1-image=H2 tiling 24i-2.png| |Ui4_1-imagecaption= |Ui4_1-vfigimage=| |Ui4_1-dimage=| |Ui4_1-vfig=(4.∞)²| |Ui4_1-Wythoff= 2 | ∞ 4
∞ | ∞ 2| |Ui4_1-group=[∞,4], (*∞42)
[∞,∞], (*∞∞2)| |Ui4_1-rotgroup=[∞,4]⁺, (∞42)
[∞,∞]⁺, (∞∞2)| |Ui4_1-special=edge-transitive| |Ui4_1-schl=r{∞,4} or ${\begin{Bmatrix}\infty \\4\end{Bmatrix}}$
rr{∞,∞} or $r{\begin{Bmatrix}\infty \\\infty \end{Bmatrix}}$ | |Ui4_1-dual=Order-4-infinite rhombille tiling| |Ui4_1-CD=
or |Ui4_1-CDf=

|Ui4_02-name=Rhombitetraapeirogonal tiling| |Ui4_02-image=H2 tiling 24i-5.png| |Ui4_02-imagecaption= |Ui4_02-vfigimage=| |Ui4_02-dimage=| |Ui4_02-vfig=4.4.∞.4| |Ui4_02-Wythoff= 4 | ∞ 2| |Ui4_02-group=[∞,4], (*∞42)| |Ui4_02-rotgroup=[∞,4]⁺, (∞42)| |Ui4_02-special=| |Ui4_02-schl=rr{∞,4} or $r{\begin{Bmatrix}\infty \\4\end{Bmatrix}}$ | |Ui4_02-dual=Deltoidal tetraapeirogonal tiling| |Ui4_02-CD= or |Ui4_02-CDf=

|Ui4_012-name=Truncated tetraapeirogonal tiling| |Ui4_012-image=H2 tiling 24i-7.png| |Ui4_012-imagecaption= |Ui4_012-vfigimage=| |Ui4_012-dimage=| |Ui4_012-vfig=4.8.∞| |Ui4_012-Wythoff= 2 ∞ 4 || |Ui4_012-group=[∞,4], (*∞42)| |Ui4_012-rotgroup=[∞,4]⁺, (∞42)| |Ui4_012-special=| |Ui4_012-schl=tr{∞,4} or $t{\begin{Bmatrix}\infty \\4\end{Bmatrix}}$ | |Ui4_012-dual=Order 4-infinite kisrhombille| |Ui4_012-CD= or |Ui4_012-CDf=

|Ui4_s-name=Snub tetraapeirogonal tiling| |Ui4_s-image=Uniform tiling i42-snub.png| |Ui4_s-imagecaption= |Ui4_s-vfigimage=| |Ui4_s-dimage=| |Ui4_s-vfig=3.3.4.3.∞| |Ui4_s-Wythoff= | ∞ 4 2| |Ui4_s-group=[∞,4]⁺, (∞42)| |Ui4_s-rotgroup=[∞,4]⁺, (∞42)| |Ui4_s-special=Chiral| |Ui4_s-schl=sr{∞,4} or $s{\begin{Bmatrix}\infty \\4\end{Bmatrix}}$ | |Ui4_s-dual=Order-4-infinite floret pentagonal tiling| |Ui4_s-CD= or |Ui4_s-CDf=

|Ui5_0-name=Order-5 apeirogonal tiling| |Ui5_0-image=H2 tiling 25i-1.png| |Ui5_0-vfigimage=| |Ui5_0-dimage= |Ui5_0-vfig=∞⁵| |Ui5_0-Wythoff= 5 | ∞ 2| |Ui5_0-group=[∞,5], (*∞52)| |Ui5_0-rotgroup=[∞,5]⁺,| |Ui5_0-special=edge-transitive| |Ui5_0-schl={∞,5}| |Ui5_0-dual=Infinite-order pentagonal tiling| |Ui5_0-CD= |Ui5_0-CDf=

|Ui5_2-name=Infinite-order pentagonal tiling| |Ui5_2-image=H2 tiling 25i-4.png| |Ui5_2-imagecaption= |Ui5_2-vfigimage=| |Ui5_2-dimage=H2 tiling 25i-1.png| |Ui5_2-vfig=5^∞| |Ui5_2-Wythoff= ∞ | 5 2 |Ui5_2-group=[∞,5], (*∞52)| |Ui5_2-rotgroup=[∞,5]⁺, (∞52)| |Ui5_2-special=| |Ui5_2-schl={5,∞}| |Ui5_2-dual=Order-5 apeirogonal tiling| |Ui5_2-CD=
|Ui5_2-CDf=

|Ui5_01-name=Truncated order-5 apeirogonal tiling| |Ui5_01-image=H2 tiling 25i-3.png| |Ui5_01-imagecaption= |Ui5_01-vfigimage=| |Ui5_01-dimage=| |Ui5_01-vfig=5.∞.∞| |Ui5_01-Wythoff= 2 5 | ∞| |Ui5_01-group=[∞,5], (*∞52)| |Ui5_01-rotgroup=[∞,5]⁺, (∞52)| |Ui5_01-special=| |Ui5_01-schl=t{∞,5}| |Ui5_01-dual=Infinite-order pentakis pentagonal tiling| |Ui5_01-CD= |Ui5_01-CDf=

|Ui5_12-name=Infinite-order truncated pentagonal tiling| |Ui5_12-image=H2 tiling 25i-6.png| |Ui5_12-imagecaption= |Ui5_12-vfigimage=| |Ui5_12-dimage=| |Ui5_12-vfig=∞.8.8| |Ui5_12-Wythoff= 2 ∞ | 5 |Ui5_12-group=[∞,5], (*∞52)| |Ui5_12-rotgroup=[∞,5]⁺, (∞52)| |Ui5_12-special=| |Ui5_12-schl=t{5,∞}| |Ui5_12-dual=apeirokis apeirogonal tiling| |Ui5_12-CD= |Ui5_12-CDf=

|Ui5_1-name=pentaapeirogonal tiling| |Ui5_1-image=H2 tiling 25i-2.png| |Ui5_1-imagecaption= |Ui5_1-vfigimage=| |Ui5_1-dimage=| |Ui5_1-vfig=(5.∞)²| |Ui5_1-Wythoff= 2 | ∞ 5| |Ui5_1-group=[∞,5], (*∞52)| |Ui5_1-rotgroup=[∞,5]⁺, (∞52)| |Ui5_1-special=edge-transitive| |Ui5_1-schl=r{∞,5} or ${\begin{Bmatrix}\infty \\5\end{Bmatrix}}$ | |Ui5_1-dual=Order-5-infinite rhombille tiling| |Ui5_1-CD= or |Ui5_1-CDf=

|Ui5_02-name=Rhombipentaapeirogonal tiling| |Ui5_02-image=H2 tiling 25i-5.png| |Ui5_02-imagecaption= |Ui5_02-vfigimage=| |Ui5_02-dimage=| |Ui5_02-vfig=5.4.∞.4| |Ui5_02-Wythoff= 5 | ∞ 2| |Ui5_02-group=[∞,5], (*∞52)| |Ui5_02-rotgroup=[∞,5]⁺, (∞52)| |Ui5_02-special=| |Ui5_02-schl=rr{∞,5} or $r{\begin{Bmatrix}\infty \\5\end{Bmatrix}}$ | |Ui5_02-dual=Deltoidal pentaapeirogonal tiling| |Ui5_02-CD= or |Ui5_02-CDf=

|Ui5_012-name=Truncated pentaapeirogonal tiling| |Ui5_012-image=H2 tiling 25i-7.png| |Ui5_012-imagecaption= |Ui5_012-vfigimage=| |Ui5_012-dimage=| |Ui5_012-vfig=5.8.∞| |Ui5_012-Wythoff= 2 ∞ 5 || |Ui5_012-group=[∞,5], (*∞52)| |Ui5_012-rotgroup=[∞,5]⁺, (∞52)| |Ui5_012-special=| |Ui5_012-schl=tr{∞,5} or $t{\begin{Bmatrix}\infty \\5\end{Bmatrix}}$ | |Ui5_012-dual=Order 5-infinite kisrhombille| |Ui5_012-CD= or |Ui5_012-CDf=

|Ui5_s-name=Snub pentaapeirogonal tiling| |Ui5_s-image=Uniform tiling i52-snub.png| |Ui5_s-imagecaption= |Ui5_s-vfigimage=| |Ui5_s-dimage=| |Ui5_s-vfig=3.3.5.3.∞| |Ui5_s-Wythoff= | ∞ 5 2| |Ui5_s-group=[∞,5]⁺, (∞52)| |Ui5_s-rotgroup=[∞,5]⁺, (∞52)| |Ui5_s-special=Chiral| |Ui5_s-schl=sr{∞,5} or $s{\begin{Bmatrix}\infty \\5\end{Bmatrix}}$ | |Ui5_s-dual=Order-5-infinite floret pentagonal tiling| |Ui5_s-CD= or |Ui5_s-CDf=

|Ui6_0-name=Order-6 apeirogonal tiling| |Ui6_0-image=H2 tiling 26i-1.png| |Ui6_0-vfigimage=| |Ui6_0-dimage= |Ui6_0-vfig=∞⁶| |Ui6_0-Wythoff= 6 | ∞ 2| |Ui6_0-group=[∞,6], (*∞62)| |Ui6_0-rotgroup=[∞,6]⁺,| |Ui6_0-special=edge-transitive| |Ui6_0-schl={∞,6}| |Ui6_0-dual=Infinite-order hexagonal tiling| |Ui6_0-CD= |Ui6_0-CDf=

|Ui6_2-name=Infinite-order hexagonal tiling| |Ui6_2-image=H2 tiling 26i-4.png| |Ui6_2-imagecaption= |Ui6_2-vfigimage=| |Ui6_2-dimage=H2 tiling 26i-1.png| |Ui6_2-vfig=6^∞| |Ui6_2-Wythoff= ∞ | 6 2 |Ui6_2-group=[∞,6], (*∞62)| |Ui6_2-rotgroup=[∞,6]⁺, (∞62)| |Ui6_2-special=| |Ui6_2-schl={6,∞}| |Ui6_2-dual=Order-6 apeirogonal tiling| |Ui6_2-CD=
|Ui6_2-CDf=

|Uii_0-name=Infinite-order apeirogonal tiling| |Uii_0-image=H2 tiling 2ii-1.png| |Uii_0-vfigimage=| |Uii_0-dimage=File:H2 tiling 2ii-4.png| |Uii_0-vfig=∞^∞| |Uii_0-Wythoff= ∞ | ∞ 2
∞ ∞ | ∞| |Uii_0-group=[∞,∞], (*∞∞2)
[(∞,∞,∞)], (*∞∞∞)| |Uii_0-rotgroup=[∞,∞]⁺, (∞∞2)
[(∞,∞,∞)]⁺, (∞∞∞)| |Uii_0-special=| |Uii_0-schl={∞,∞}| |Uii_0-dual=self-dual| |Uii_0-CD=
|Uii_0-CDf=

|Uii_s-name=Snub apeiroapeirogonal tiling| |Uii_s-image=Uniform tiling ii2-snub.png| |Uii_s-imagecaption= |Uii_s-vfigimage=| |Uii_s-dimage=File:Uniform_tiling_ii2-snub.png| |Uii_s-vfig=3.3.∞.3.∞| |Uii_s-Wythoff= | ∞ ∞ 2| |Uii_s-group=[∞,∞]⁺, (∞∞2)| |Uii_s-rotgroup=[∞,∞]⁺, (∞∞2)| |Uii_s-special=Chiral| |Uii_s-schl=s{∞,4}
sr{∞,∞} or $s{\begin{Bmatrix}\infty \\\infty \end{Bmatrix}}$ | |Uii_s-dual=Infinitely-infinite-order floret pentagonal tiling| |Uii_s-CD=
or |Uii_s-CDf=

|U433_12-name=Cantic octagonal tiling| |U433_12-image=H2 tiling 334-6.png| |U433_12-image2=Uniform tiling 433-t12.png| |U433_12-imagecaption= |U433_12-vfigimage=Uniform tiling 433-t12 vertfig.png| |U433_12-dimage=Uniform_dual_tiling_433-t12.png| |U433_12-vfig=3.6.4.6| |U433_12-Wythoff= 4 3 | 3 |U433_12-group=[(4,3,3)], (*433)| |U433_12-rotgroup=[(4,3,3)]⁺, (433)| |U433_12-special=| |U433_12-schl=h₂{8,3}| |U433_12-dual=Order-4-3-3 t12 dual tiling| |U433_12-CD= = |U433_12-CDf=

|U433_s-name=Snub order-8 triangular tiling| |U433_s-image=Uniform tiling 433-snub2.png| |U433_s-imagecaption= |U433_s-vfigimage=Uniform tiling 433-snub vertfig.png| |U433_s-dimage=Uniform_dual_tiling_433-snub.png| |U433_s-vfig=3.3.3.3.3.4| |U433_s-Wythoff= | 4 3 3| |U433_s-group=[8,3⁺], (3*4)
[(4,3,3)]⁺, (433)| |U433_s-rotgroup=[(4,3,3)]⁺, (433)| |U433_s-special=| |U433_s-schl=s{3,8}
s(4,3,3)| |U433_s-dual=Order-4-3-3 snub dual tiling| |U433_s-CD=
|U433_s-CDf=

|U443_0-name=Alternated order-4 hexagonal tiling| |U443_0-image=H2 tiling 344-1.png| |U443_0-imagecaption= |U443_0-vfigimage=Uniform tiling 443-t0 vertfig.png| |U443_0-dimage=Uniform_dual_tiling_443-t0.png| |U443_0-vfig=(3.4)⁴| |U443_0-Wythoff= 4 | 3 4| |U443_0-group=[(4,4,3)], (*443)| |U443_0-rotgroup=[(4,4,3)]⁺, (443)| |U443_0-special=| |U443_0-schl=h{6,4} or (3,4,4)| |U443_0-dual=Order-4-4-3_t0 dual tiling| |U443_0-CD= or |U443_0-CDf=

|U443_s-name=Snub order-6 square tiling| |U443_s-image=Uniform tiling 443-snub1.png| |U443_s-imagecaption= |U443_s-vfigimage=Uniform tiling 443-snub vertfig.png| |U443_s-dimage=Uniform_dual_tiling_443-snub.png| |U443_s-vfig=3.3.3.4.3.4| |U443_s-Wythoff= | 4 4 3| |U443_s-group=[(4,4,3)]⁺, (443)
[6,4⁺], (4*3)| |U443_s-rotgroup=[(4,4,3)]⁺, (443)| |U443_s-special=| |U443_s-schl=s(4,4,3)
s{4,6}| |U443_s-dual=Order-4-4-3 snub dual tiling| |U443_s-CD=
|U443_s-CDf=

|U7H_2-name=Order-7 heptagrammic tiling| |U7H_2-image2=| |U7H_2-image=Hyperbolic_tiling_7-2_7.png| |U7H_2-imagecaption=Partially drawn heptagram facets |U7H_2-vfigimage=| |U7H_2-dimage=| |U7H_2-vfig=(7/2)⁷| |U7H_2-Wythoff= 7 | 7/2 2 |U7H_2-group=[7,3], (*732)| |U7H_2-rotgroup=[7,3]⁺, (732)| |U7H_2-special=| |U7H_2-schl={7/2,7}| |U7H_2-dual=Heptagrammic-order heptagonal tiling| |U7H_2-CD= |U7H_2-CDf=

|U7H_0-name=Heptagrammic-order heptagonal tiling| |U7H_0-image2=| |U7H_0-image=Hyperbolic tiling 7 7-2.png| |U7H_0-imagecaption= |U7H_0-vfigimage=| |U7H_0-dimage=| |U7H_0-vfig=7^7/2| |U7H_0-Wythoff= 7/2 | 7 2 |U7H_0-group=[7,3], (*732)| |U7H_0-rotgroup=[7,3]⁺, (732)| |U7H_0-special=| |U7H_0-schl={7,7/2}| |U7H_0-dual=Order-7 heptagrammic tiling| |U7H_0-CD= |U7H_0-CDf=

}}

Template documentation

This template is used for hyperbolic uniform tiling stat tables.

{{Uniform hyperbolic tiles db|Reg hyperbolic tiling stat table|U73_0}}

produces:

Heptagonal tiling
Poincaré disk model of the hyperbolic plane
Type	Hyperbolic regular tiling
Vertex configuration	7³
Schläfli symbol	{7,3}
Wythoff symbol	3 \| 7 2
Coxeter diagram
Symmetry group	[7,3], (*732)
Dual	Order-7 triangular tiling
Properties	Vertex-transitive, edge-transitive, face-transitive

See also