Acronym ...
Name hyperbolic rhombisquarepentagonal tiling
 
 ©   
Circumradius sqrt[-1-3 sqrt(2)-2 sqrt(5)-sqrt(10)]/2 = 1.794231 i
Vertex figure [43,5]
External
links
wikipedia  

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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