Template:Regular hyperbolic tiling table
Regular hyperbolic tiling table | |||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Spherical (improper/Platonic)/Euclidean/hyperbolic (Poincaré disc: 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 documentation
See also
Tiling templates:
Tables:
- {Cantic table}
- {Deltoidal table}
- {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}
- {Rhombic figure 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}