Eight squares form a square ring with a hole in the middle. Place 9 square rings in a 3-by-3 grid. Place a 10th ring, cut up, into the holes. (10*8+1 = 3^4) The final remaining hole in the center can be part of the next level of recursion.
Maps an octal-tree to a plane. Octree? 8 bits in a byte?
Possibly other uses. Pretty picture?
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