Acronym	tezt
Name	hyperbolic tetragonal-horocyclic tiling, hyperbolic square-apeirogon tiling
Circumradius	1/sqrt(-2) = 0.707107 i
Vertex figure	[(4,∞)2]
Confer	topological relatives: x3xØx∞xØ*a3*c   o4o6x
External links

Having the same curvature (resp. circumradius) as o4o6x, both having even numbered polygons only and both having tetravalent vertex figures with inversional symmetry, these allow for resp. alternating layers, i.e. an corresponding laminat. That one then would have the vertex configuration [4,6,6,∞] and could be described by the generalized Dynkin diagram x3xØx∞xØ*a3*c.

Incidence matrix according to Dynkin symbol

o4x∞o   (N,M → ∞)

. . . | 2NM |   4 |  2  2
------+-----+-----+------
. x . |   2 | 4NM |  1  1
------+-----+-----+------
o4x . |   4 |   4 | NM  *
. x∞o |   M |   M |  * 4N

x∞o∞x   (N,M → ∞)

. . . | 2NM |   2   2 |  1  2  1
------+-----+---------+---------
x . . |   2 | 2NM   * |  1  1  0
. . x |   2 |   * 2NM |  0  1  1
------+-----+---------+---------
x∞o . |   M |   M   0 | 2N  *  *
x . x |   4 |   2   2 |  * NM  *
. o∞x |   M |   0   M |  *  * 2N

x∞x4o4*a   (N,M → ∞)

. . .    | 4NM |   2   2 |  2  1  1
---------+-----+---------+---------
x . .    |   2 | 4NM   * |  1  1  0
. x .    |   2 |   * 4NM |  1  0  1
---------+-----+---------+---------
x∞x .    |  2M |   M   M | 4N  *  *
x . o4*a |   4 |   4   0 |  * MN  *
. x4o    |   4 |   0   4 |  *  * MN