| Hyperbolic |
|---|
| Article | Vertex configuration | Schläfli symbol | Image |
| Snub tetrapentagonal tiling |
32.4.3.5 |
sr{5,4} |
 |
| Snub tetrahexagonal tiling |
32.4.3.6 |
sr{6,4} |
 |
| Snub tetraheptagonal tiling |
32.4.3.7 |
sr{7,4} |
 |
| Snub tetraoctagonal tiling |
32.4.3.8 |
sr{8,4} |
 |
| Snub tetraapeirogonal tiling |
32.4.3.∞ |
sr{∞,4} |
 |
| Snub pentapentagonal tiling |
32.5.3.5 |
s{5,4} |
 |
| Snub pentahexagonal tiling |
32.5.3.6 |
sr{6,5} |
 |
| Snub hexahexagonal tiling |
32.6.3.6 |
s{6,4} |
 |
| Snub hexaoctagonal tiling |
32.6.3.8 |
sr{8,6} |
 |
| Snub heptaheptagonal tiling |
32.7.3.7 |
sr{7,7} |
 |
| Snub octaoctagonal tiling |
32.8.3.8 |
s{8,4} |
 |
| Snub order-6 square tiling |
33.4.3.4 |
s{4,6} |
 |
| Snub apeiroapeirogonal tiling |
32.∞.3.∞ |
sr{∞,∞} |
 |
| Snub triheptagonal tiling |
34.7 |
sr{7,3} |
 |
| Snub trioctagonal tiling |
34.8 |
sr{8,3} |
 |
| Snub triapeirogonal tiling |
34.∞ |
sr{∞,3} |
 |
| Snub order-8 triangular tiling |
35.4 |
s{3,8} |
 |
| Order-7 triangular tiling |
37 |
{3,7} |
 |
| Order-8 triangular tiling |
38 |
{3,8} |
 |
| Infinite-order triangular tiling |
3∞ |
{3,∞} |
|
| Alternated octagonal tiling |
3.4.3.4.3.4 |
h{8,3} |
|
| Alternated order-4 hexagonal tiling |
3.4.3.4.3.4.3.4 |
h{6,4} |
|
| Quarter order-6 square tiling |
3.4.62.4 |
q{4,6} |
|
| Rhombitriheptagonal tiling |
3.4.7.4 |
rr{7,3} |
 |
| Rhombitrioctagonal tiling |
3.4.8.4 |
rr{8,3} |
 |
| Rhombitriapeirogonal tiling |
3.4.∞.4 |
rr{∞,3} |
|
| Cantic octagonal tiling |
3.6.4.6 |
h2{8,3} |
|
| Triheptagonal tiling |
3.7.3.7 |
r{7,3} |
 |
| Trioctagonal tiling |
3.8.3.8 |
r{8,3} |
 |
| Truncated heptagonal tiling |
3.142 |
t{7,3} |
 |
| Truncated octagonal tiling |
3.162 |
t{8,3} |
 |
| Triapeirogonal tiling |
3.∞.3.∞ |
r{∞,3} |
 |
| Truncated order-3 apeirogonal tiling |
3.∞2 |
t{∞,3} |
 |
| Rhombitetrapentagonal tiling |
42.5.4 |
rr{5,4} |
 |
| Rhombitetrahexagonal tiling |
42.6.4 |
rr{6,4} |
|
| Rhombitetraheptagonal tiling |
42.7.4 |
rr{7,4} |
|
| Rhombitetraoctagonal tiling |
42.8.4 |
rr{8,4} |
|
| Rhombitetraapeirogonal tiling |
42.∞.4 |
rr{∞,4} |
|
| Order-5 square tiling |
45 |
{4,5} |
 |
| Order-6 square tiling |
46 |
{4,6} |
 |
| Order-7 square tiling |
47 |
{4,7} |
|
| Order-8 square tiling |
48 |
{4,8} |
|
| Infinite-order square tiling |
4∞ |
{4,∞} |
|
| Tetrapentagonal tiling |
4.5.4.5 |
r{5,4} |
 |
| Tetrahexagonal tiling |
4.6.4.6 |
r{6,4} |
|
| Truncated trihexagonal tiling |
4.6.12 |
tr{6,3} |
|
| Truncated triheptagonal tiling |
4.6.14 |
tr{7,3} |
 |
| Order 3-7 kisrhombille |
V4.6.14 |
??? |
 |
| Truncated trioctagonal tiling |
4.6.16 |
tr{8,3} |
 |
| Order 3-8 kisrhombille |
V4.6.16 |
??? |
 |
| Truncated triapeirogonal tiling |
4.6.∞ |
tr{∞,3} |
|
| Tetraheptagonal tiling |
4.7.4.7 |
r{7,4} |
|
| Tetraoctagonal tiling |
4.8.4.8 |
r{8,4} |
|
| Truncated tetrapentagonal tiling |
4.8.10 |
tr{5,4} |
 |
| 4-5 kisrhombille |
V4.8.10 |
??? |
 |
| Truncated tetrahexagonal tiling |
4.8.12 |
tr{6,4} |
|
| Truncated tetraheptagonal tiling |
4.8.14 |
tr{7,4} |
|
| Truncated tetraoctagonal tiling |
4.8.16 |
tr{8,4} |
|
| Truncated tetraapeirogonal tiling |
4.8.∞ |
tr{∞,4} |
|
| Truncated order-4 pentagonal tiling |
4.102 |
t{5,4} |
 |
| Truncated pentahexagonal tiling |
4.10.12 |
tr{6,5} |
|
| Truncated order-4 hexagonal tiling |
4.122 |
t{6,4} |
|
| Truncated hexaoctagonal tiling |
4.12.16 |
tr{8,6} |
|
| Truncated order-4 heptagonal tiling |
4.142 |
t{7,4} |
|
| Truncated order-4 octagonal tiling |
4.162 |
t{8,4} |
|
| Truncated order-4 apeirogonal tiling |
4.∞2 |
t{∞,4} |
|
| Tetraapeirogonal tiling |
4.∞.4.∞ |
r{∞,4} |
|
| Order-4 pentagonal tiling |
54 |
{5,4} |
 |
| Order-5 pentagonal tiling |
55 |
{5,5} |
|
| Order-6 pentagonal tiling |
56 |
{5,6} |
|
| Infinite-order pentagonal tiling |
5∞ |
{5,∞} |
|
| Rhombipentahexagonal tiling |
5.4.6.4 |
rr{6,5} |
|
| Pentahexagonal tiling |
5.6.5.6 |
r{6,5} |
|
| Truncated order-5 square tiling |
5.82 |
t{4,5} |
 |
| Truncated order-5 pentagonal tiling |
5.102 |
t{5,5} |
|
| Truncated order-5 hexagonal tiling |
5.122 |
t{6,5} |
|
| Pentaapeirogonal tiling |
5.∞.5.∞ |
r{∞,5} |
|
| Order-4 hexagonal tiling |
64 |
{6,4} |
|
| Order-5 hexagonal tiling |
65 |
{6,5} |
|
| Order-6 hexagonal tiling |
66 |
{6,6} |
|
| Order-8 hexagonal tiling |
68 |
{6,8} |
|
| Rhombihexaoctagonal tiling |
6.4.8.4 |
rr{8,6} |
|
| Hexaoctagonal tiling |
6.8.6.8 |
r{8,6} |
|
| Truncated order-6 square tiling |
6.82 |
t{4,6} |
|
| Truncated order-6 pentagonal tiling |
6.102 |
t{5,6} |
|
| Truncated order-6 hexagonal tiling |
6.122 |
t{6,6} |
|
| Truncated order-6 octagonal tiling |
6.162 |
t{8,6} |
|
| Heptagonal tiling |
73 |
{7,3} |
 |
| Order-4 heptagonal tiling |
74 |
{7,4} |
|
| Order-7 heptagonal tiling |
77 |
{7,7} |
|
| Truncated order-7 triangular tiling |
7.62 |
t{3,7} |
 |
| Truncated order-7 square tiling |
7.82 |
t{4,7} |
|
| Truncated order-7 heptagonal tiling |
7.142 |
t{7,7} |
|
| Octagonal tiling |
83 |
{8,3} |
 |
| Order-4 octagonal tiling |
84 |
{8,4} |
|
| Order-6 octagonal tiling |
86 |
{8,6} |
|
| Order-8 octagonal tiling |
88 |
{8,8} |
|
| Truncated order-8 hexagonal tiling |
812 |
t{6,8} |
|
| Truncated order-8 triangular tiling |
8.62 |
t{3,8} |
 |
| Truncated order-8 octagonal tiling |
8.162 |
t{8,8} |
|
| Order-7 heptagrammic tiling |
(7/2)7 |
{7/2,7} |
|
| Order-3 apeirogonal tiling |
∞3 |
{∞,3} |
 |
| Order-4 apeirogonal tiling |
∞4 |
{∞,4} |
|
| Order-5 apeirogonal tiling |
∞5 |
{∞,5} |
|
| Infinite-order apeirogonal tiling |
∞∞ |
{∞,∞} |
|
| Truncated infinite-order triangular tiling |
∞.62 |
t{3,∞} |
|
| Truncated infinite-order square tiling |
∞.82 |
t{4,∞} |
|
{6,2}
{2,6}
{ }×{6}
{ }⊗{6}
{ }+{6}
{ }⨁{6}
