Symmetry Group P4 is made up of two different four-way rotations through 90 degrees surrounded by four identical 2 way rotations. No mirrors here.
This symmetry group is not one that I would think to use, although I should, as my parameters exclude mirrors as much as possible. The four way rotation is quite apparent in all of the nested shapes. My latest was created for the Black Lives Matter movement.
There are only five tessellations that I deem worthy of sharing for this post. Others may work if I tweak and refine the lines, the sharing of areas, the colours. But for now, five it is.
This post is the fourth in a series of 17, as there are 17 symmetry groups that tile the two dimensional surface, aka, the plane.