List of tessellations

Regular Spherical (n=1, 2, 3, ...) Article Vertex configuration Schläfli symbol Image Dihedron n^2 {n,2} {6,2} Hosohedron 2^n {2,n} {2,6} Spherical tetrahedron 3^3 {3,3} Spherical octahedron 3^4 {3,4} Spherical cube 4^3 {4,3} Spherical icosahedron 3^5 {3,5} Spherical dodecahedron 5^3 {5,3} Semi-regular Spherical (n=2, 3, ...) Article Vertex configuration Schläfli symbol Image Prism 4.4.n t{2, n} = { }×{n} { }×{6} Antiprism 3^3.n sr{2,n} = { }⊗{n} { }⊗{6} Dual semi-regular Spherical (n=2, 3, ...) Article Vertex configuration Schläfli symbol Image Bipyramid V4^2.n dt{2, n} = { }+{n} { }+{6} Trapezohedron V3^3.n dsr{2,n} = { }⨁{n} { }⨁{6} Regular Article Vertex configuration Schläfli symbol Image Apeirogonal hosohedron 2^∞ {2,∞} Order-2 apeirogonal tiling ∞^2 {∞,2} Square tiling 4^4 {4,4} Triangular tiling 3^6 {3,6} Hexagonal tiling 6^3 {6,3} Semi-regular Article Vertex configuration Schläfli symbol Image Apeirogonal prism 4^2.∞ t{2,∞} Apeirogonal antiprism 3^3.∞ sr{2,∞} Snub square tiling 3^2.4.3.4 s{4,4} Elongated triangular tiling 3^3.4^2 {3,6}:e Snub trihexagonal tiling 3^4.6 sr{6,3} Rhombitrihexagonal tiling 3.4.6.4 rr{6,3} Trihexagonal tiling 3.6.3.6 r{6,3} Truncated hexagonal tiling 3.12^2 t{6,3} Truncated trihexagonal tiling 4.6.12 tr{6,3} Truncated square tiling 4.8^2 tr{4,4} Dual semi-regular Article Face configuration Schläfli symbol Image Apeirogonal deltohedron V3^3.∞ dsr{2,∞} Apeirogonal bipyramid V4^2.∞ dt{2,∞} Cairo pentagonal tiling V3^2.4.3.4 ds{4,4} Prismatic pentagonal tiling V3^3.4^2 d{3,6}:e Floret pentagonal tiling V3^4.6 dsr{6,3} Deltoidal trihexagonal tiling V3.4.6.4 drr{6,3} Rhombille tiling V3.6.3.6 dr{6,3} Triakis triangular tiling V3.12^2 dt{6,3} Kisrhombille tiling V4.6.12 dtr{6,3} Tetrakis square tiling 4.8^2 tr{4,4}

Hyperbolic Article Vertex configuration Schläfli symbol Image Snub tetrapentagonal tiling 3^2.4.3.5 sr{5,4} Snub tetrahexagonal tiling 3^2.4.3.6 sr{6,4} Snub tetraheptagonal tiling 3^2.4.3.7 sr{7,4} Snub tetraoctagonal tiling 3^2.4.3.8 sr{8,4} Snub tetraapeirogonal tiling 3^2.4.3.∞ sr{∞,4} Snub pentapentagonal tiling 3^2.5.3.5 s{5,4} Snub pentahexagonal tiling 3^2.5.3.6 sr{6,5} Snub hexahexagonal tiling 3^2.6.3.6 s{6,4} Snub hexaoctagonal tiling 3^2.6.3.8 sr{8,6} Snub heptaheptagonal tiling 3^2.7.3.7 sr{7,7} Snub octaoctagonal tiling 3^2.8.3.8 s{8,4} Snub order-6 square tiling 3^3.4.3.4 s{4,6} Snub apeiroapeirogonal tiling 3^2.∞.3.∞ sr{∞,∞} Snub triheptagonal tiling 3^4.7 sr{7,3} Snub trioctagonal tiling 3^4.8 sr{8,3} Snub triapeirogonal tiling 3^4.∞ sr{∞,3} Snub order-8 triangular tiling 3^5.4 s{3,8} Order-7 triangular tiling 3^7 {3,7} Order-8 triangular tiling 3^8 {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 3.4.6^2.4 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 3.14^2 t{7,3} Truncated octagonal tiling 3.16^2 t{8,3} Triapeirogonal tiling 3.∞.3.∞ r{∞,3} Truncated order-3 apeirogonal tiling 3.∞^2 t{∞,3} Rhombitetrapentagonal tiling 4^2.5.4 rr{5,4} Rhombitetrahexagonal tiling 4^2.6.4 rr{6,4} Rhombitetraheptagonal tiling 4^2.7.4 rr{7,4} Rhombitetraoctagonal tiling 4^2.8.4 rr{8,4} Rhombitetraapeirogonal tiling 4^2.∞.4 rr{∞,4} Order-5 square tiling 4^5 {4,5} Order-6 square tiling 4^6 {4,6} Order-7 square tiling 4^7 {4,7} Order-8 square tiling 4^8 {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 4.10^2 t{5,4} Truncated pentahexagonal tiling 4.10.12 tr{6,5} Truncated order-4 hexagonal tiling 4.12^2 t{6,4} Truncated hexaoctagonal tiling 4.12.16 tr{8,6} Truncated order-4 heptagonal tiling 4.14^2 t{7,4} Truncated order-4 octagonal tiling 4.16^2 t{8,4} Truncated order-4 apeirogonal tiling 4.∞^2 t{∞,4} Tetraapeirogonal tiling 4.∞.4.∞ r{∞,4} Order-4 pentagonal tiling 5^4 {5,4} Order-5 pentagonal tiling 5^5 {5,5} Order-6 pentagonal tiling 5^6 {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 5.8^2 t{4,5} Truncated order-5 pentagonal tiling 5.10^2 t{5,5} Truncated order-5 hexagonal tiling 5.12^2 t{6,5} Pentaapeirogonal tiling 5.∞.5.∞ r{∞,5} Order-4 hexagonal tiling 6^4 {6,4} Order-5 hexagonal tiling 6^5 {6,5} Order-6 hexagonal tiling 6^6 {6,6} Order-8 hexagonal tiling 6^8 {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 6.8^2 t{4,6} Truncated order-6 pentagonal tiling 6.10^2 t{5,6} Truncated order-6 hexagonal tiling 6.12^2 t{6,6} Truncated order-6 octagonal tiling 6.16^2 t{8,6} Heptagonal tiling 7^3 {7,3} Order-4 heptagonal tiling 7^4 {7,4} Order-7 heptagonal tiling 7^7 {7,7} Truncated order-7 triangular tiling 7.6^2 t{3,7} Truncated order-7 square tiling 7.8^2 t{4,7} Truncated order-7 heptagonal tiling 7.14^2 t{7,7} Octagonal tiling 8^3 {8,3} Order-4 octagonal tiling 8^4 {8,4} Order-6 octagonal tiling 8^6 {8,6} Order-8 octagonal tiling 8^8 {8,8} Truncated order-8 hexagonal tiling 8^12 t{6,8} Truncated order-8 triangular tiling 8.6^2 t{3,8} Truncated order-8 octagonal tiling 8.16^2 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 ∞.6^2 t{3,∞} Truncated infinite-order square tiling ∞.8^2 t{4,∞}

See also

• Uniform tiling
  • Convex uniform honeycombs
  • List of k-uniform tilings
  • List of convex uniform tilings
  • Uniform tilings in hyperbolic plane