Regular hyperbolic tiling table | ||||||||||||
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Spherical (improper/Platonic)/Euclidean/hyperbolic (Poincaré disc: compact/paracompact/noncompact) tessellations with their Schläfli symbol | ||||||||||||
p \ q | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ... | ∞ | ... | iπ/λ |
1 | {1,1} |
{1,2} |
{1,3} |
{1,4} |
{1,5} |
{1,6} |
{1,7} |
{1,8} |
{1,∞} |
{1,iπ/λ} | ||
2 | {2,1} |
{2,2} |
{2,3} |
{2,4} |
{2,5} |
{2,6} |
{2,7} |
{2,8} |
{2,∞} |
{2,iπ/λ} | ||
3 | {3,1} |
{3,2} |
{3,3} |
{3,4} |
{3,5} |
{3,6} |
{3,7} |
{3,8} |
{3,∞} |
{3,iπ/λ} | ||
4 | {4,1} |
{4,2} |
{4,3} |
{4,4} |
{4,5} |
{4,6} |
{4,7} |
{4,8} |
{4,∞} |
{4,iπ/λ} | ||
5 | {5,1} |
{5,2} |
{5,3} |
{5,4} |
{5,5} |
{5,6} |
{5,7} |
{5,8} |
{5,∞} |
{5,iπ/λ} | ||
6 | {6,1} |
{6,2} |
{6,3} |
{6,4} |
{6,5} |
{6,6} |
{6,7} |
{6,8} |
{6,∞} |
{6,iπ/λ} | ||
7 | {7,1} |
{7,2} |
{7,3} |
{7,4} |
{7,5} |
{7,6} |
{7,7} |
{7,8} |
{7,∞} |
{7,iπ/λ} | ||
8 | {8,1} |
{8,2} |
{8,3} |
{8,4} |
{8,5} |
{8,6} |
{8,7} |
{8,8} |
{8,∞} |
{8,iπ/λ} | ||
... | ||||||||||||
∞ | {∞,1} |
{∞,2} |
{∞,3} |
{∞,4} |
{∞,5} |
{∞,6} |
{∞,7} |
{∞,8} |
{∞,∞} |
{∞,iπ/λ} | ||
... | ||||||||||||
iπ/λ | {iπ/λ,1} |
{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} |
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