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,∞} | |