Monday, August 22, 2016

[qhxnxssd] Pi in pi

Start with a square shaped region.  Draw a slightly smaller square with one side missing -- shaped like a capital Greek letter pi -- into it.  Repeat, a smaller pi into the region inside.  The orientations of the squares could encode information.

If packed densely, the central region may diverge away from being square.  We can also consider squares with more than one edge missing.  Vertices not connected to any edge could be marked as dots, or omitted entirely.  Packing cubes in 3 dimensions, considering cubes with faces missing, edges not connected to any faces could remain as a wire frame.

Previously similar, packing into frames.

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