Uniform Tessellations on the Euclid plane

Last update: 2003/09/13
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There are all Uniform Tessellations on the Euclid plane.
p|2 q (regular), p|q r
2 p|q (truncated), p q|r
p q r|
|p q r (snub)
complex (extended Wythoff symbol)

See also.


p|2 q

6|2 3
6|2 3
3|2 6
3|2 6
4|2 4
4|2 4
3|3/2 Inf
3|3/2 Inf
4 4/3|Inf
4 4/3|Inf

p|q r

2|3 6
2|3 6
3 3/2|Inf
3 3/2|Inf
6 6/5|Inf
6 6/5|Inf

2 p|q

2 3|6
2 3|6
2 3|6/5
2 3|6/5
2 4|4
2 4|4
2 4|4/3
2 4|4/3
2 Inf|2
2 Inf|2

p q|r

3 6|2
3 6|2
3/2 6|2
3/2 6|2
3/2 6|6
3/2 6|6
3 6|6/5
3 6|6/5
2 6 3/2,6/2|
2 6 3/2,6/2|
2 6/5 3/2,6/2|
2 6/5 3/2,6/2|
6 Inf|6/5
6 Inf|6/5
4 Inf|4/3
4 Inf|4/3
6/5 Inf|6
6/5 Inf|6
4/3 Inf|4
4/3 Inf|4
6 6/5 6/2,Inf/2|
6 6/5 6/2,Inf/2|
4 4/3 4/2,Inf/2|
4 4/3 4/2,Inf/2|

p q r|

2 3 6|
2 3 6|
2 3 6/5|
2 3 6/5|
2 4 4/3|
2 4 4/3|
3 6 6/5|
3 6 6/5|
6 6/5 Inf|
6 6/5 Inf|
4 4/3 Inf|
4 4/3 Inf|

|p q r

|2 3 6
|2 3 6
|2 4 4
|2 4 4
|2 4/3 4/3
|2 4/3 4/3
|2 2 Inf
|2 2 Inf
|4 4/3 Inf
|4 4/3 Inf

complex

[3,3,3,4,4]
[3,3,3,4,4]
[3,3,3,4/3,4/3]
[3,3,3,4/3,4/3]
[3/2,Inf,3/2,Inf,3/2,4,4]
[3/2,Inf,3/2,Inf,
3/2,4,4]

[New]
[3/2,Inf,3/2,Inf,3/2,4/3,4/3]
[3/2,Inf,3/2,Inf,
3/2,4/3,4/3]

[New]
[3/2,Inf,3/2,Inf,3/2,12/5,6,12/5]
[3/2,Inf,3/2,Inf,
3/2,12/5,6,12/5]

[New]
[3/2,Inf,3/2,Inf,3/2,12/7,6/5,12/7]
[3/2,Inf,3/2,Inf,
3/2,12/7,6/5,12/7]

[New]
[3/2,Inf,3/2,Inf,3/2,12,6/5,12]
[3/2,Inf,3/2,Inf,
3/2,12,6/5,12]

[New]
[3/2,Inf,3/2,Inf,3/2,12/11,6,12/11]
[3/2,Inf,3/2,Inf,
3/2,12/11,6,12/11]

[New]
[3/2,Inf,3/2,4/3,4/3,3/2,4/3,4/3]
[3/2,Inf,3/2,4/3,4/3,
3/2,4/3,4/3]

[New]
[3/2,Inf,3/2,4,4,3/2,4,4]
[3/2,Inf,3/2,4,4,
3/2,4,4]

[New]
[3/2,Inf,3/2,4,4,3/2,4/3,4/3]
[3/2,Inf,3/2,4,4,
3/2,4/3,4/3]

[New]
[4,Inf,4/3,8/3,4,8/3]
[4,Inf,4/3,
8/3,4,8/3]

[New]
[4,Inf,4/3,8,4/3,8]
[4,Inf,4/3,
8,4/3,8]

[New]
[4,Inf,4/3,8/3,8]
[4,Inf,4/3,
8/3,8]

[New]
[4,Inf,4/3,8,8/3]
[4,Inf,4/3,
8,8/3]

[New]
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