... non-periodically tiled plane.

Did you know that an infinite plane can be tiled in a way that it does 
not repeat in any direction, despite following clear-cut rules?

One such tiling is the Penrose "P3" tiling shown in the attached image.

Fun fact: There are actually at least two different P3 tilings, but no 
mortal could ever tell them apart - because any finite sub-section of 
one can be found in the other as well.

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