Template:Regular hyperbolic tiling table

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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}

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