Acronym ...
Name hyperbolic rhombitriheptagonal tiling
 
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Circumradius sqrt[(7+4 cos(π/7)-4 cos2(π/7))/(12-16 cos2(π/7))] = 2.728895 i
Vertex figure [3,4,7,4]
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wikipedia

Incidence matrix according to Dynkin symbol

x3o7x   (N → ∞)

. . . | 42N |   2   2 |   1   2  1
------+-----+---------+-----------
x . . |   2 | 42N   * |   1   1  0
. . x |   2 |   * 42N |   0   1  1
------+-----+---------+-----------
x3o . |   3 |   3   0 | 14N   *  *
x . x |   4 |   2   2 |   * 21N  *
. o7x |   7 |   0   7 |   *   * 6N

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