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The geometry is a polyomino, formed with 9 congruent squares. This window lattice
is used for the garden and for room dividers. This is also suitable for floor tiles
and outdoor pavings. I have seen patterns like this on the tread of automobile tires
and on the bottom of shoes. This is also a good design for manhole covers.

"Polyominoes" by Soloman W. Golomb, Princeton University Press, 1994, 184 pages.
"Symmetries of Culture," by Dorothy K. Washburn and Donald W. Crowe, University of Washington Press, 1988, 300 pages.

Chinese garden in Singapore

LEGO tessellations
Polyomino Quilt by Mary Teetor