Acronym	sha
Name	square hemiapeirogonal tesselation, alternate square tiling
	©
Vertex figure	[4,∞,4/3,∞]/0
Colonel of regiment	squat
External links

This looks like a squat, where every second square is missing.

Incidence matrix according to Dynkin symbol

x4o4/3x∞*a   (N,M → ∞)

. .   .    | 4NM |   2   2 |  1  2  1
-----------+-----+---------+---------
x .   .    |   2 | 4NM   * |  1  1  0
. .   x    |   2 |   * 4NM |  0  1  1
-----------+-----+---------+---------
x4o   .    |   4 |   4   0 | NM  *  *
x .   x∞*a ♦  2M |   M   M |  * 4N  *
. o4/3x    |   4 |   0   4 |  *  * NM

or
. .   .      | 2NM |   4 |  2  2
-------------+-----+-----+------
x .   .    & |   2 | 4NM |  1  1
-------------+-----+-----+------
x4o   .    & |   4 |   4 | NM  *
x .   x∞*a   ♦   M |   M |  * 4N