Acronym ...
Name hyperbolic cantic order 4 hexagonal tiling
 
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Circumradius sqrt[-(5+6 sqrt(2))/12] = 1.060082 i
Vertex figure [3,8,4,8]
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Incidence matrix according to Dynkin symbol

x3o4x4*a   (N → ∞)

. . .    | 12N |   2   2 |  1  2  1
---------+-----+---------+---------
x . .    |   2 | 12N   * |  1  1  0
. . x    |   2 |   * 12N |  0  1  1
---------+-----+---------+---------
x3o .    |   3 |   3   0 | 4N  *  *
x . x4*a |   8 |   4   4 |  * 3N  *
. o4x    |   4 |   0   4 |  *  * 3N

snubbed forms: x3o4s4*a

x4o6s   (N → ∞)

demi( . . . ) | 12N |   2   2 |  1  1  2
--------------+-----+---------+---------
demi( x . . ) |   2 | 12N   * |  1  0  1
sefa( . o6s ) |   2 |   * 12N |  0  1  1
--------------+-----+---------+---------
demi( x4o . ) |   4 |   4   0 | 3N  *  *
      . o6s   |   3 |   0   3 |  * 4N  *
sefa( x4o6s ) |   8 |   4   4 |  *  * 3N

starting figure: x4o6x

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