Acronym ...
Name hyperbolic order 5 truncated pentagonal tiling
 
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Circumradius sqrt[-(8+5 sqrt(5))/8] = 1.548400 i
Vertex figure [5,102]
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Incidence matrix according to Dynkin symbol

x5x5o   (N → ∞)

. . . | 10N |  1   2 |  2  1
------+-----+--------+------
x . . |   2 | 5N   * |  2  0
. x . |   2 |  * 10N |  1  1
------+-----+--------+------
x5x . |  10 |  5   5 | 2N  *
. x5o |   5 |  0   5 |  * 2N

s4o5x   (N → ∞)

demi( . . . ) | 10N |   2  1 |  1  2
--------------+-----+--------+------
demi( . . x ) |   2 | 10N  * |  1  1
      s4o .      2 |   * 5N |  0  2
--------------+-----+--------+------
demi( . o5x ) |   5 |   5  0 | 2N  *
sefa( s4o5x ) |  10 |   5  5 |  * 2N

starting figure: x4o5x

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