Template:Regular hyperbolic tiling table
| Regular hyperbolic tiling table | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Spherical (improper/Platonic)/Euclidean/hyperbolic (Poincaré disk: compact/paracompact/noncompact) tessellations with their Schläfli symbol | |||||||||||
| p \ q | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ... | ∞ | ... | iπ/λ |
| 2 |  {2,2}    |
 {2,3}  |
 {2,4}  |
 {2,5}  |
 {2,6}  |
 {2,7}  |
 {2,8}  |
 {2,∞}  |
 {2,iπ/λ}  | ||
| 3 |  {3,2} |
 (tetrahedron) {3,3} |
 (octahedron) {3,4} |
 (icosahedron) {3,5} |
 (deltille) {3,6} |
 {3,7} |
 {3,8} |
 {3,∞} |
 {3,iπ/λ} | ||
| 4 |  {4,2} |
 (cube) {4,3} |
 (quadrille) {4,4} |
 {4,5} |
 {4,6} |
 {4,7} |
 {4,8} |
 {4,∞} |
 {4,iπ/λ} | ||
| 5 |  {5,2} |
 (dodecahedron) {5,3} |
 {5,4} |
 {5,5} |
 {5,6} |
 {5,7} |
 {5,8} |
 {5,∞} |
 {5,iπ/λ} | ||
| 6 |  {6,2} |
 (hextille) {6,3} |
 {6,4} |
 {6,5} |
 {6,6} |
 {6,7} |
 {6,8} |
 {6,∞} |
 {6,iπ/λ} | ||
| 7 | {7,2} |
 {7,3} |
 {7,4} |
 {7,5} |
 {7,6} |
 {7,7} |
 {7,8} |
 {7,∞} |
{7,iπ/λ} | ||
| 8 | {8,2} |
 {8,3} |
 {8,4} |
 {8,5} |
 {8,6} |
 {8,7} |
 {8,8} |
 {8,∞} |
{8,iπ/λ} | ||
| ... | |||||||||||
| ∞ |  {∞,2} |
 {∞,3} |
 {∞,4} |
 {∞,5} |
 {∞,6} |
 {∞,7} |
 {∞,8} |
 {∞,∞} |
 {∞,iπ/λ} | ||
| ... | |||||||||||
| iπ/λ |  {iπ/λ,2} |
 {iπ/λ,3} |
 {iπ/λ,4} |
 {iπ/λ,5} |
 {iπ/λ,6} |
{iπ/λ,7} |
{iπ/λ,8} |
 {iπ/λ,∞} |
{iπ/λ, iπ/λ} | ||
Template documentationSee also
Tiling templates:
- {{Coxeter–Dynkin diagram}}
- {{Tessellation}}
Tables:
- {{Expanded table}}
- {{Expanded4 table}}
- {{Finite triangular hyperbolic tilings table}}
- {{Hexagonal regular tilings}}
- {{Hexagonal tiling cell tessellations}}
- {{Hexagonal tiling table}}
- {{Hexagonal tiling vertex figure tessellations}}
- {{Infinite triangular hyperbolic tilings table}}
- {{Octagonal regular tilings}}
- {{Omnitruncated symmetric table}}
- {{Omnitruncated table}}
- {{Omnitruncated4 table}}
- {{Order 3-2-2-2 tiling table}}
- {{Order 3-2-3-2 tiling table}}
- {{Order 4-3-3 tiling table}}
- {{Order 4-4 tiling table}} (square)
- {{Order 4-4-3 tiling table}}
- {{Order 4-4-4 tiling table}}
- {{Order 5-3-3 tiling table}}
- {{Order 5-4 tiling table}}
- {{Order 5-4-3 tiling table}}
- {{Order 5-4-4 tiling table}}
- {{Order 5-5 tiling table}}
- {{Order 6-3-3 tiling table}}
- {{Order 6-4 tiling table}}
- {{Order 6-4-3 tiling table}}
- {{Order 6-4-4 tiling table}}
- {{Order 6-5 tiling table}}
- {{Order 6-6 tiling table}}
- {{Order 7-3 tiling table}}
- {{Order 7-4 tiling table}}
- {{Order 7-7 tiling table}}
- {{Order 8-3 tiling table}} (octagonal)
- {{Order 8-4 tiling table}}
- {{Order 8-6 tiling table}}
- {{Order 8-8 tiling table}}
- {{Order i-3 tiling table}}
- {{Order i-3-3 tiling table}}
- {{Order i-4 tiling table}}
- {{Order i-4-3 tiling table}}
- {{Order i-4-4 tiling table}}
- {{Order i-5 tiling table}}
- {{Order i-i tiling table}}
- {{Order i-i-3 tiling table}}
- {{Order i-i-4 tiling table}}
- {{Order i-i-i tiling table}}
- {{Order-3 tiling table}}
- {{Order-4 regular tilings}}
- {{Order-5 regular tilings}}
- {{Order-6 regular tilings}}
- {{Order-7 regular tilings}}
- {{Order-8 regular tilings}}
- {{Quasiregular3 table}}
- {{Quasiregular4 table}}
- {{Quasiregular5 table}}
- {{Quasiregular6 table}}
- {{Quasiregular7 table}}
- {{Quasiregular8 table}}
- {{Regular hyperbolic tiling table}}
- {{Regular pentagonal tiling table}}
- {{Snub table}}
- {{Snub4 table}}
- {{Square regular tiling table}}
- {{Square tiling tessellations}}
- {{Square tiling vertex figure tessellations}}
- {{Triangular regular tiling}}
- {{Triangular tiling table}}
- {{Triangular tiling vertex figure tessellations}}
- {{Truncated figure1 table}}
- {{Truncated figure2 table}}
- {{Truncated figure3 table}}
- {{Truncated figure4 table}}