Continuous curves {Peano-Hilbert curve} can fill continuous two-dimensional regions. Start with square. Put four squares inside and connect centers to make polygonal curve. Put four squares inside small squares to make 16 squares and connect centers to make polygonal curve. Continue to make polygonal curve that approaches passing through all points inside starting square.
Mathematical Sciences>Geometry>Plane>Curve>Kinds
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Date Modified: 2022.0224