Acronym ...
Name hyperbolic omnitruncated tetrapentagonal tiling
 
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Circumradius sqrt[-9-5 sqrt(2)-6 sqrt(5)-3 sqrt(10)]/2 = 3.121470 i
Vertex figure [4,8,10]
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Incidence matrix according to Dynkin symbol

x4x5x   (N → ∞)

. . . | 40N |   1   1   1 |  1   1  1
------+-----+-------------+----------
x . . |   2 | 20N   *   * |  1   1  0
. x . |   2 |   * 20N   * |  1   0  1
. . x |   2 |   *   * 20N |  0   1  1
------+-----+-------------+----------
x4x . |   8 |   4   4   0 | 5N   *  *
x . x |   4 |   2   0   2 |  * 10N  *
. x5x |  10 |   0   5   5 |  *   * 4N

snubbed forms: s4x5x, x4s5s, s4s5s

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