Acronym | srotepet |
Name | hyperbolic rhombisquarepentagonal tiling |
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Circumradius | sqrt[-1-3 sqrt(2)-2 sqrt(5)-sqrt(10)]/2 = 1.794231 i |
Vertex figure | [43,5] |
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This tiling alows for a consistent 5-coloring of the squares. This can be used for an according partial Stott contraction.
Incidence matrix according to Dynkin symbol
x4o5x (N → ∞) . . . | 20N | 2 2 | 1 2 1 ------+-----+---------+---------- x . . | 2 | 20N * | 1 1 0 . . x | 2 | * 20N | 0 1 1 ------+-----+---------+---------- x4o . | 4 | 4 0 | 5N * * x . x | 4 | 2 2 | * 10N * . o5x | 5 | 0 5 | * * 4N snubbed forms: s4o5x
x4s5s (N → ∞) demi( . . . ) | 20N | 1 1 2 | 1 1 2 --------------+-----+-------------+---------- demi( x . . ) | 2 | 10N * * | 1 0 1 sefa( x4s . ) | 2 | * 10N * | 1 0 1 sefa( . s5s ) | 2 | * * 20N | 0 1 1 --------------+-----+-------------+---------- x4s . ♦ 4 | 2 2 0 | 5N * * . s5s ♦ 5 | 0 0 5 | * 4N * sefa( x4s5s ) | 4 | 1 1 2 | * * 10N starting figure: x4x5x
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