Acronym ...
Name hyperbolic omnitruncated trioctagonal tiling
 
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Circumradius sqrt[(13-sqrt(2)+6 sqrt[2+sqrt(2)])/(4-4 sqrt(2))] = 3.699185 i
Vertex figure [4,6,16]
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Incidence matrix according to Dynkin symbol

x3x8x   (N → ∞)

. . . | 48N |   1   1   1 |   1   1  1
------+-----+-------------+-----------
x . . |   2 | 24N   *   * |   1   1  0
. x . |   2 |   * 24N   * |   1   0  1
. . x |   2 |   *   * 24N |   0   1  1
------+-----+-------------+-----------
x3x . |   6 |   3   3   0 | 8N   *  *
x . x |   4 |   2   0   2 |   * 12N  *
. x8x |  16 |   0   8   8 |   *   * 3N

snubbed forms: x3x8s, s3s8x, s3s8s

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