Acronym ...
Name hyperbolic rhombitrioctagonal tiling
 
 ©
Circumradius sqrt[(5-sqrt(2)+2 sqrt[2+sqrt(2)])/(4-4 sqrt(2))] = 2.096343 i
Vertex figure [3,4,8,4]
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Incidence matrix according to Dynkin symbol

x3o8x   (N → ∞)

. . . | 24N |   2   2 |  1   2  1
------+-----+---------+----------
x . . |   2 | 24N   * |  1   1  0
. . x |   2 |   * 24N |  0   1  1
------+-----+---------+----------
x3o . |   3 |   3   0 | 8N   *  *
x . x |   4 |   2   2 |  * 12N  *
. o8x |   8 |   0   8 |  *   * 3N

snubbed forms: x3o8s

s3s8x   (N → ∞)

demi( . . . ) | 24N |   1   2   1 |  1  1   2
--------------+-----+-------------+----------
demi( . . x ) |   2 | 12N   *   * |  0  1   1
sefa( s3s . ) |   2 |   * 24N   * |  1  0   1
sefa( . s8x ) |   2 |   *   * 12N |  0  1   1
--------------+-----+-------------+----------
      s3s .      3 |   0   3   0 | 8N  *   *
      . s8x      8 |   4   0   4 |  * 3N   *
sefa( s3s8x ) |   4 |   1   2   1 |  *  * 12N

starting figure: x3x8x

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