This is an adjustment and extension of the radial tessellation shown in the most recent post here. I am now confident that this pattern could be extended outward, without limit.
A Radial Tessellation of the Plane Using Squares and 45/135 Degree Rhombi
RobertLovesPi.net 
how to do the. A video of it
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There is no such video — but if one were made, this image would start in the middle, then grow towards the sides.
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