| 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 |
