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A space-filling curve
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By markdow   |   Watch
Published: January 27, 2007
The boundary between black and white would touch every point on the square if the algorithm were iterated ad infinitum.

On a topological torus (top-left edge abutting bottom-right, and top-right to bottom left), the black pattern is identical to the white pattern, but for a 180 degree rotation and small shift. The boundary between the black and white regions is then connected, forming a closed curve (on a 2-D surface embedded in a 3-D space) that separates the two regions.

Constructed with PSP, in a manner analogous to a construction of the Hilbert Curve and other L-System space-filling curves.
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parrotdolphinProfessional Digital Artist
Another interesting pattern. This makes me think of a massive floor plan for some cublicle'd office space, a big space.
markdow's avatar
Down the hall, turn left, then left, right, right, left ........:)
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parrotdolphinProfessional Digital Artist
I'm lost! :D
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