## Plane Filling Curves

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 Plane filling cuvres are a continueous line through a flat (2D) space. By using a recursive procedure, the curve becomes ever more detailed. It increases in length and at its limit will visit every point in the space. Hence, the enclosed 2D space has been filled with a curve of infinite length. We cannot iterate an infinite number of times. Hence we can only draw an approximate curve by iterating just a few times. Also see L-Systems. Dragon Curve Folded paper strip Dragon curve, orders 0-11. Grate Curve Recursive plane filling Grate curve. Hilbert Curve Recursive Hilbert curves. Hilbert2 Curve Recursive Hilbert2 curves. Knuth Curve Recursive plane filling Knuth curve. Peano Curve Recursive plane filling Peano curve. Peano2 Curve Recursive plane filling second type of Peano curve. Peano Gosper Curve Recursive hexagonal plane filling curve. Sierpinski Curve Recursive plane filling Sierpinski curve. Sierpinski Triangle Recursive triangular plane filling curve. Wirth Curve Recursive plane filling Wirth curve.

Sierpinski