Acronym ...
Name hyperbolic order 3 horocyclic tiling,
hyperbolic order ∞ truncated horocyclic tiling,
hyperbolic order 3 apeirogonal tiling
 
 
Circumradius sqrt(-3)/2 = 0.866025 i
Vertex figure [∞3]
Dual x3o∞o
Confer
general polytopal classes:
regular   noble polytopes  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

o3o∞x   (N,M → ∞)

. . . | 2NM |   3 |  3
------+-----+-----+---
. . x |   2 | 3NM |  2
------+-----+-----+---
. o∞x |   M |   M | 6N

snubbed forms: o3o∞s

x∞x∞o   (N,M → ∞)

. . . | 2NM |  1   2 |  2  1
------+-----+--------+------
x . . |   2 | NM   * |  2  0
. x . |   2 |  * 2NM |  1  1
------+-----+--------+------
x∞x . |  2M |  M   M | 2N  *
. x∞o |   M |  0   M |  * 2N

x∞x∞x∞*a   (N,M → ∞)

. . .    | 2NM |  1  1  1 | 1 1 1
---------+-----+----------+------
x . .    |   2 | NM  *  * | 1 1 0
. x .    |   2 |  * NM  * | 1 0 1
. . x    |   2 |  *  * NM | 0 1 1
---------+-----+----------+------
x∞x .    |  2M |  M  M  0 | N * *
x . x∞*a |  2M |  M  0  M | * N *
. x∞x    |  2M |  0  M  M | * * N

snubbed forms: s∞s∞s∞*a

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