Acronym ...
Name hyperbolic order 4 truncated pentagonal tiling
 
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Circumradius sqrt[-9-5 sqrt(5)]/2 = 2.246127 i
Vertex figure [4,102]
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Incidence matrix according to Dynkin symbol

o4x5x   (N → ∞)

. . . | 20N |   2   1 |  1  2
------+-----+---------+------
. x . |   2 | 20N   * |  1  1
. . x |   2 |   * 10N |  0  2
------+-----+---------+------
o4x . |   4 |   4   0 | 5N  *
. x5x |  10 |   5   5 |  * 4N

snubbed forms: o4s5s

x5x5x   (N → ∞)

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

snubbed forms: s5s5s

s4x5x   (N → ∞)

demi( . . . ) | 20N |   1   1   1 |  1  1  1
--------------+-----+-------------+---------
demi( . x . ) |   2 | 10N   *   * |  1  1  0
demi( . . x ) |   2 |   * 10N   * |  1  0  1
sefa( s4x . ) |   2 |   *   * 10N |  0  1  1
--------------+-----+-------------+---------
demi( . x5x ) |  10 |   5   5   0 | 2N  *  *
      s4x .      4 |   2   0   2 |  * 5N  *
sefa( s4x5x ) |  10 |   0   5   5 |  *  * 2N

starting figure: x4x5x

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