Template:Infinite triangular hyperbolic tilings table

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Infinite triangular hyperbolic tilings
(p q r) t0 h0 t01 h01 t1 h1 t12 h12 t2 h2 t02 h02 t012 s

(∞ 3 2)
t0{∞,3}

3
h0{∞,3}
(3.∞)3
t01{∞,3}

∞.3.∞
t1{∞,3}

(3.∞)2
t12{∞,3}

6.∞.6
h12{∞,3}
3.3.3.∞.3.3
t2{∞,3}

3
t02{∞,3}

3.4.∞.4
t012{∞,3}

4.6.∞
s{∞,3}
3.3.3.3.∞

(∞ 4 2)
t0{∞,4}

4
h0{∞,4}
(4.∞)4
t01{∞,4}

∞.4.∞
h01{∞,4}
3.∞.3.3.∞
t1{∞,4}

(4.∞)2
h1{∞,4}
(4.4.∞)2
t12{∞,4}

8.∞.8
h12{∞,4}
3.4.3.∞.3.4
t2{∞,4}

4
h2{∞,4}
t02{∞,4}

4.4.∞.4
h02{∞,4}
4.4.4.∞.4
t012{∞,4}

4.8.∞
s{∞,4}
3.3.4.3.∞

(∞ 5 2)
t0{∞,5}

5
h0{∞,5}
(5.∞)5
t01{∞,5}

∞.5.∞
t1{∞,5}

(5.∞)2
t12{∞,5}

10.∞.10
h12{∞,5}
3.5.3.∞.3.5
t2{∞,5}

5
t02{∞,5}

5.4.∞.4
t012{∞,5}

4.10.∞
s{∞,5}
3.3.5.3.∞

(∞ 6 2)
t0{∞,6}

6
h0{∞,6}
(6.∞)6
t01{∞,6}

∞.6.∞
h01{∞,6}
3.∞.3.3.3.∞
t1{∞,6}

(6.∞)2
h1{∞,6}
(4.3.4.∞)2
t12{∞,6}

12.∞.12
h12{∞,6}
3.6.3.∞.3.6
t2{∞,6}

6
h2{∞,6}
(∞.3)
t02{∞,6}

6.4.∞.4
h02{∞,6}
4.3.4.4.∞.4
t012{∞,6}

4.12.∞
s{∞,6}
3.3.6.3.∞

(∞ 7 2)
t0{∞,7}

7
h0{∞,7}
(7.∞)7
t01{∞,7}

∞.7.∞
t1{∞,7}

(7.∞)2
t12{∞,7}

14.∞.14
h12{∞,7}
3.7.3.∞.3.7
t2{∞,7}

7
t02{∞,7}

7.4.∞.4
t012{∞,7}

4.14.∞
s{∞,7}
3.3.7.3.∞

(∞ 8 2)
t0{∞,8}

8
h0{∞,8}
(8.∞)8
t01{∞,8}

∞.8.∞
h01{∞,8}
3.∞.3.4.3.∞
t1{∞,8}

(8.∞)2
h1{∞,8}
(4.4.4.∞)2
t12{∞,8}

16.∞.16
h12{∞,8}
3.8.3.∞.3.8
t2{∞,8}

8
h2{∞,8}
(∞.4)
t02{∞,8}

8.4.∞.4
h02{∞,8}
4.4.4.4.∞.4
t012{∞,8}

4.16.∞
s{∞,8}
3.3.8.3.∞

(∞ ∞ 2)
t0{∞,∞}

h0{∞,∞}
(∞.∞)
t01{∞,∞}

∞.∞.∞
h01{∞,∞}
3.∞.3.∞.3.∞
t1{∞,∞}

4
h1{∞,∞}
(4.∞)4
t12{∞,∞}

∞.∞.∞
h12{∞,∞}
3.∞.3.∞.3.∞
t2{∞,∞}

h2{∞,∞}
(∞.∞)
t02{∞,∞}

(∞.4)2
h02{∞,∞}
(4.∞.4)2
t012{∞,∞}

4.∞.∞
s{∞,∞}
3.3.∞.3.∞

(∞ 3 3)
t0(∞,3,3)

(∞.3)3
t01(∞,3,3)

(3.∞)2
t1(∞,3,3)

(3.∞)3
t12(∞,3,3)

3.6.∞.6
t2(∞,3,3)

3
t02(∞,3,3)

3.6.∞.6
t012(∞,3,3)

6.6.∞
s(∞,3,3)
3.3.3.3.3.∞

(∞ 4 3)
t0(∞,4,3)

(∞.3)4
t01(∞,4,3)

3.∞.4.∞
t1(∞,4,3)

(4.∞)3
h1(∞,4,3)
(6.6.∞)3
t12(∞,4,3)

3.8.∞.8
t2(∞,4,3)

(4.3)
t02(∞,4,3)

4.6.∞.6
h02(∞,4,3)
4.4.3.4.∞.4.3
t012(∞,4,3)

6.8.∞
s(∞,4,3)
3.3.3.4.3.∞

(∞ 5 3)
t0(∞,5,3)

(∞.3)5
t01(∞,5,3)

3.∞.5.∞
t1(∞,5,3)

(5.∞)3
t12(∞,5,3)

3.10.∞.10
t2(∞,5,3)

(5.3)
t02(∞,5,3)

5.6.∞.6
t012(∞,5,3)

6.10.∞
s(∞,5,3)
3.3.3.5.3.∞

(∞ 6 3)
t0(∞,6,3)

(∞.3)6
t01(∞,6,3)

3.∞.6.∞
t1(∞,6,3)

(6.∞)3
h1(∞,6,3)
(6.3.6.∞)3
t12(∞,6,3)

3.12.∞.12
t2(∞,6,3)

(6.3)
t02(∞,6,3)

6.6.∞.6
h02(∞,6,3)
4.3.4.3.4.∞.4.3
t012(∞,6,3)

6.12.∞
s(∞,6,3)
3.3.3.6.3.∞

(∞ 7 3)
t0(∞,7,3)

(∞.3)7
t01(∞,7,3)

3.∞.7.∞
t1(∞,7,3)

(7.∞)3
t12(∞,7,3)

3.14.∞.14
t2(∞,7,3)

(7.3)
t02(∞,7,3)

7.6.∞.6
t012(∞,7,3)

6.14.∞
s(∞,7,3)
3.3.3.7.3.∞

(∞ 8 3)
t0(∞,8,3)

(∞.3)8
t01(∞,8,3)

3.∞.8.∞
t1(∞,8,3)

(8.∞)3
h1(∞,8,3)
(6.4.6.∞)3
t12(∞,8,3)

3.16.∞.16
t2(∞,8,3)

(8.3)
t02(∞,8,3)

8.6.∞.6
h02(∞,8,3)
4.4.4.3.4.∞.4.3
t012(∞,8,3)

6.16.∞
s(∞,8,3)
3.3.3.8.3.∞

(∞ ∞ 3)
t0(∞,∞,3)

(∞.3)
t01(∞,∞,3)

3.∞.∞.∞
t1(∞,∞,3)

6
h1(∞,∞,3)
(6.∞)6
t12(∞,∞,3)

3.∞.∞.∞
t2(∞,∞,3)

(∞.3)
t02(∞,∞,3)

(∞.6)2
h02(∞,∞,3)
(4.∞.4.3)2
t012(∞,∞,3)

6.∞.∞
s(∞,∞,3)
3.3.3.∞.3.∞

(∞ 4 4)
t0(∞,4,4)

(∞.4)4
h0(∞,4,4)
(8.∞.8)4
t01(∞,4,4)

(4.∞)2
h01(∞,4,4)
(4.4.∞)2
t1(∞,4,4)

(4.∞)4
h1(∞,4,4)
(8.8.∞)4
t12(∞,4,4)

4.8.∞.8
h12(∞,4,4)
4.4.4.4.∞.4.4
t2(∞,4,4)

4
h2(∞,4,4)
t02(∞,4,4)

4.8.∞.8
h02(∞,4,4)
4.4.4.4.∞.4.4
t012(∞,4,4)

8.8.∞
s(∞,4,4)
3.4.3.4.3.∞

(∞ 5 4)
t0(∞,5,4)

(∞.4)5
h0(∞,5,4)
(10.∞.10)5
t01(∞,5,4)

4.∞.5.∞
t1(∞,5,4)

(5.∞)4
t12(∞,5,4)

4.10.∞.10
h12(∞,5,4)
4.4.5.4.∞.4.5
t2(∞,5,4)

(5.4)
t02(∞,5,4)

5.8.∞.8
t012(∞,5,4)

8.10.∞
s(∞,5,4)
3.4.3.5.3.∞

(∞ 6 4)
t0(∞,6,4)

(∞.4)6
h0(∞,6,4)
(12.∞.12)6
t01(∞,6,4)

4.∞.6.∞
h01(∞,6,4)
4.4.∞.4.3.4.∞
t1(∞,6,4)

(6.∞)4
h1(∞,6,4)
(8.3.8.∞)4
t12(∞,6,4)

4.12.∞.12
h12(∞,6,4)
4.4.6.4.∞.4.6
t2(∞,6,4)

(6.4)
h2(∞,6,4)
(∞.3.∞)
t02(∞,6,4)

6.8.∞.8
h02(∞,6,4)
4.3.4.4.4.∞.4.4
t012(∞,6,4)

8.12.∞
s(∞,6,4)
3.4.3.6.3.∞

(∞ 7 4)
t0(∞,7,4)

(∞.4)7
h0(∞,7,4)
(14.∞.14)7
t01(∞,7,4)

4.∞.7.∞
t1(∞,7,4)

(7.∞)4
t12(∞,7,4)

4.14.∞.14
h12(∞,7,4)
4.4.7.4.∞.4.7
t2(∞,7,4)

(7.4)
t02(∞,7,4)

7.8.∞.8
t012(∞,7,4)

8.14.∞
s(∞,7,4)
3.4.3.7.3.∞

(∞ 8 4)
t0(∞,8,4)

(∞.4)8
h0(∞,8,4)
(16.∞.16)8
t01(∞,8,4)

4.∞.8.∞
h01(∞,8,4)
4.4.∞.4.4.4.∞
t1(∞,8,4)

(8.∞)4
h1(∞,8,4)
(8.4.8.∞)4
t12(∞,8,4)

4.16.∞.16
h12(∞,8,4)
4.4.8.4.∞.4.8
t2(∞,8,4)

(8.4)
h2(∞,8,4)
(∞.4.∞)
t02(∞,8,4)

8.8.∞.8
h02(∞,8,4)
4.4.4.4.4.∞.4.4
t012(∞,8,4)

8.16.∞
s(∞,8,4)
3.4.3.8.3.∞

(∞ ∞ 4)
t0(∞,∞,4)

(∞.4)
h0(∞,∞,4)
(∞.∞.∞)
t01(∞,∞,4)

4.∞.∞.∞
h01(∞,∞,4)
4.4.∞.4.∞.4.∞
t1(∞,∞,4)

8
h1(∞,∞,4)
(8.∞)8
t12(∞,∞,4)

4.∞.∞.∞
h12(∞,∞,4)
4.4.∞.4.∞.4.∞
t2(∞,∞,4)

(∞.4)
h2(∞,∞,4)
(∞.∞.∞)
t02(∞,∞,4)

(∞.8)2
h02(∞,∞,4)
(4.∞.4.4)2
t012(∞,∞,4)

8.∞.∞
s(∞,∞,4)
3.4.3.∞.3.∞

(∞ 5 5)
t0(∞,5,5)

(∞.5)5
t01(∞,5,5)

(5.∞)2
t1(∞,5,5)

(5.∞)5
t12(∞,5,5)

5.10.∞.10
t2(∞,5,5)

5
t02(∞,5,5)

5.10.∞.10
t012(∞,5,5)

10.10.∞
s(∞,5,5)
3.5.3.5.3.∞

(∞ 6 5)
t0(∞,6,5)

(∞.5)6
t01(∞,6,5)

5.∞.6.∞
t1(∞,6,5)

(6.∞)5
h1(∞,6,5)
(10.3.10.∞)5
t12(∞,6,5)

5.12.∞.12
t2(∞,6,5)

(6.5)
t02(∞,6,5)

6.10.∞.10
h02(∞,6,5)
4.3.4.5.4.∞.4.5
t012(∞,6,5)

10.12.∞
s(∞,6,5)
3.5.3.6.3.∞

(∞ 7 5)
t0(∞,7,5)

(∞.5)7
t01(∞,7,5)

5.∞.7.∞
t1(∞,7,5)

(7.∞)5
t12(∞,7,5)

5.14.∞.14
t2(∞,7,5)

(7.5)
t02(∞,7,5)

7.10.∞.10
t012(∞,7,5)

10.14.∞
s(∞,7,5)
3.5.3.7.3.∞

(∞ 8 5)
t0(∞,8,5)

(∞.5)8
t01(∞,8,5)

5.∞.8.∞
t1(∞,8,5)

(8.∞)5
h1(∞,8,5)
(10.4.10.∞)5
t12(∞,8,5)

5.16.∞.16
t2(∞,8,5)

(8.5)
t02(∞,8,5)

8.10.∞.10
h02(∞,8,5)
4.4.4.5.4.∞.4.5
t012(∞,8,5)

10.16.∞
s(∞,8,5)
3.5.3.8.3.∞

(∞ ∞ 5)
t0(∞,∞,5)

(∞.5)
t01(∞,∞,5)

5.∞.∞.∞
t1(∞,∞,5)

10
h1(∞,∞,5)
(10.∞)10
t12(∞,∞,5)

5.∞.∞.∞
t2(∞,∞,5)

(∞.5)
t02(∞,∞,5)

(∞.10)2
h02(∞,∞,5)
(4.∞.4.5)2
t012(∞,∞,5)

10.∞.∞
s(∞,∞,5)
3.5.3.∞.3.∞

(∞ 6 6)
t0(∞,6,6)

(∞.6)6
h0(∞,6,6)
(12.∞.12.3)6
t01(∞,6,6)

(6.∞)2
h01(∞,6,6)
(4.3.4.∞)2
t1(∞,6,6)

(6.∞)6
h1(∞,6,6)
(12.3.12.∞)6
t12(∞,6,6)

6.12.∞.12
h12(∞,6,6)
4.3.4.6.4.∞.4.6
t2(∞,6,6)

6
h2(∞,6,6)
(∞.3)
t02(∞,6,6)

6.12.∞.12
h02(∞,6,6)
4.3.4.6.4.∞.4.6
t012(∞,6,6)

12.12.∞
s(∞,6,6)
3.6.3.6.3.∞

(∞ 7 6)
t0(∞,7,6)

(∞.6)7
h0(∞,7,6)
(14.∞.14.3)7
t01(∞,7,6)

6.∞.7.∞
t1(∞,7,6)

(7.∞)6
t12(∞,7,6)

6.14.∞.14
h12(∞,7,6)
4.3.4.7.4.∞.4.7
t2(∞,7,6)

(7.6)
t02(∞,7,6)

7.12.∞.12
t012(∞,7,6)

12.14.∞
s(∞,7,6)
3.6.3.7.3.∞

(∞ 8 6)
t0(∞,8,6)

(∞.6)8
h0(∞,8,6)
(16.∞.16.3)8
t01(∞,8,6)

6.∞.8.∞
h01(∞,8,6)
4.3.4.∞.4.4.4.∞
t1(∞,8,6)

(8.∞)6
h1(∞,8,6)
(12.4.12.∞)6
t12(∞,8,6)

6.16.∞.16
h12(∞,8,6)
4.3.4.8.4.∞.4.8
t2(∞,8,6)

(8.6)
h2(∞,8,6)
(∞.4.∞.3)
t02(∞,8,6)

8.12.∞.12
h02(∞,8,6)
4.4.4.6.4.∞.4.6
t012(∞,8,6)

12.16.∞
s(∞,8,6)
3.6.3.8.3.∞

(∞ ∞ 6)
t0(∞,∞,6)

(∞.6)
h0(∞,∞,6)
(∞.∞.∞.3)
t01(∞,∞,6)

6.∞.∞.∞
h01(∞,∞,6)
4.3.4.∞.4.∞.4.∞
t1(∞,∞,6)

12
h1(∞,∞,6)
(12.∞)12
t12(∞,∞,6)

6.∞.∞.∞
h12(∞,∞,6)
4.3.4.∞.4.∞.4.∞
t2(∞,∞,6)

(∞.6)
h2(∞,∞,6)
(∞.∞.∞.3)
t02(∞,∞,6)

(∞.12)2
h02(∞,∞,6)
(4.∞.4.6)2
t012(∞,∞,6)

12.∞.∞
s(∞,∞,6)
3.6.3.∞.3.∞

(∞ 7 7)
t0(∞,7,7)

(∞.7)7
t01(∞,7,7)

(7.∞)2
t1(∞,7,7)

(7.∞)7
t12(∞,7,7)

7.14.∞.14
t2(∞,7,7)

7
t02(∞,7,7)

7.14.∞.14
t012(∞,7,7)

14.14.∞
s(∞,7,7)
3.7.3.7.3.∞

(∞ 8 7)
t0(∞,8,7)

(∞.7)8
t01(∞,8,7)

7.∞.8.∞
t1(∞,8,7)

(8.∞)7
h1(∞,8,7)
(14.4.14.∞)7
t12(∞,8,7)

7.16.∞.16
t2(∞,8,7)

(8.7)
t02(∞,8,7)

8.14.∞.14
h02(∞,8,7)
4.4.4.7.4.∞.4.7
t012(∞,8,7)

14.16.∞
s(∞,8,7)
3.7.3.8.3.∞

(∞ ∞ 7)
t0(∞,∞,7)

(∞.7)
t01(∞,∞,7)

7.∞.∞.∞
t1(∞,∞,7)

14
h1(∞,∞,7)
(14.∞)14
t12(∞,∞,7)

7.∞.∞.∞
t2(∞,∞,7)

(∞.7)
t02(∞,∞,7)

(∞.14)2
h02(∞,∞,7)
(4.∞.4.7)2
t012(∞,∞,7)

14.∞.∞
s(∞,∞,7)
3.7.3.∞.3.∞

(∞ 8 8)
t0(∞,8,8)

(∞.8)8
h0(∞,8,8)
(16.∞.16.4)8
t01(∞,8,8)

(8.∞)2
h01(∞,8,8)
(4.4.4.∞)2
t1(∞,8,8)

(8.∞)8
h1(∞,8,8)
(16.4.16.∞)8
t12(∞,8,8)

8.16.∞.16
h12(∞,8,8)
4.4.4.8.4.∞.4.8
t2(∞,8,8)

8
h2(∞,8,8)
(∞.4)
t02(∞,8,8)

8.16.∞.16
h02(∞,8,8)
4.4.4.8.4.∞.4.8
t012(∞,8,8)

16.16.∞
s(∞,8,8)
3.8.3.8.3.∞

(∞ ∞ 8)
t0(∞,∞,8)

(∞.8)
h0(∞,∞,8)
(∞.∞.∞.4)
t01(∞,∞,8)

8.∞.∞.∞
h01(∞,∞,8)
4.4.4.∞.4.∞.4.∞
t1(∞,∞,8)

16
h1(∞,∞,8)
(16.∞)16
t12(∞,∞,8)

8.∞.∞.∞
h12(∞,∞,8)
4.4.4.∞.4.∞.4.∞
t2(∞,∞,8)

(∞.8)
h2(∞,∞,8)
(∞.∞.∞.4)
t02(∞,∞,8)

(∞.16)2
h02(∞,∞,8)
(4.∞.4.8)2
t012(∞,∞,8)

16.∞.∞
s(∞,∞,8)
3.8.3.∞.3.∞

(∞ ∞ ∞)
t0(∞,∞,∞)

h0(∞,∞,∞)
(∞.∞)
t01(∞,∞,∞)

(∞.∞)2
h01(∞,∞,∞)
(4.∞.4.∞)2
t1(∞,∞,∞)

h1(∞,∞,∞)
(∞.∞)
t12(∞,∞,∞)

(∞.∞)2
h12(∞,∞,∞)
(4.∞.4.∞)2
t2(∞,∞,∞)

h2(∞,∞,∞)
(∞.∞)
t02(∞,∞,∞)

(∞.∞)2
h02(∞,∞,∞)
(4.∞.4.∞)2
t012(∞,∞,∞)

3
s(∞,∞,∞)
(3.∞)3