Fractal curves made with complex integers
created by Jeffrey Ventrella ( fractalcurves.com )

These fractal curves are based on a taxonomy which is explained in the book, The Family Tree of Fractal Curves.

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families
G(1,1) norm 2 E(2,1) norm 3 E(2,0) norm 4 G(2,0) norm 4 G(2,1) norm 5 E(3,1) norm 7 G(2,2) norm 8 G(3,0) norm 9 E(3,0) norm 9
G(3,1) norm 10

generators

dragon curve Polya curve

Terdragon Inverted Ter half-Ter Walking ter Chair Butterfly Avoid 3 Hook 3 Box 3 Blob 3

Gasket Sierpinski Sierp family Splotch broke gasket edge 4-Dragon 4_Triangle

Peano sweep Dragon-Eve Carbajo Tile Curve V1 Dragon Text-Dragon Triangle 4 City 4 Box 4 Tossed City Cesaro

Quartet 5 dragon 5 Blob 5 Jaggy 5 Jaggy 2 5 Crazy 5 Pine

Gosper Gosp-Drag. Gosper Hook Gosper Blob Pinch Nested Swan Blob Jagged 7-Dragon Fun V-curve V-curve-flip Assym_7_1 Assym_7_2 Sym_7_1 Sym_7_2

8-filler brainfiller brain dragon star 8 broken twins Carb-8 Eve-8 Tri-8 1 Edge-8 Tile-8 Twin Piece

Peano curve Quad Koch Tri-9 City-9 Craggy-9 Jaggy-9-1 toss-9

Koch walking 9 scroll snowflake avoid brain frayed carpet jaggy carpet holiday tree avoid E91 avoid E92 plex inv Tter fuzzy cradle avoider 9 Maple Cool E9 Thing E9 Triangle 9 Carpet 1 B1 B2 Thing9

Ugly 10

(More generators will be added later)