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 Curve
Sierpinski