Fractal curves made with complex integers
fractalcurves.com

These fractal curves are based on a classification explained in 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 E(4,2) norm 12 E(4,1) norm 13 G(3,2) norm 13 G(3,3) norm 18 E(6,2) norm 19 E(6,3) norm 27 G(4,0) norm 16 E(4,0) norm 16 G(3,4) norm 25 G(5,0) norm 25 G(8,0) norm 64 G(8,6) n = 100


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 Big HH Big Polya

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

Gosper Inner-Gosper Gosp-Drag. Gosper Hook Gosper Blob Pinch Nested Swan Blob Anti-Gosper Jagged 7-Dragon 7-Drag-Cross Fun V-curve V-curve-flip Assym_7_1 Assym_7_2 Sym_7_1 Sym_7_2 Deep_7 Hole_7

8-filler brainfiller brain dragon star 8 broken twins Carb-8 Eve-8 Tri-8 1 Edge-8 Tile-8 Twin Piece MagicDragon1 MagicDragon2 MagicDragon3 Pod Dragon Ugly Chunk High V Drag

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

Koch walking 9 scroll snowflake avoid brain jaggy carpet holiday tree avoid E91 avoid E92 plex inv Ter plex inv Ter 2 fuzzy cradle avoider 9 Maple Maple Invert Maple Loop Cool E9 Thing E9 Triangle 9 B1 B2 Thing9 Carpet 1 Carpet 2 Carpet 3 Carpet 4 Carpet 5 Carpet 6 Carpet 7 Carpet 8 Carpet 9 Unrolcarpet fray carpet crossing Ter jaggy half-Ter Ter Ter Super Ter Ter Hook Dragon Funny Tri Juneteenth Bend-Dragon Cross Inv Ter LoopWalkTer 4 in 9 Snow-Tree

Ugly 10 Cool 10 Cool 10 Loop 10 Dragon

3-Star Blob-12 Test-12

Fukuda Arndt-Handl Star 13

McKenna13

Test

Mandala Mandala 2

Super Flake

Wirey Dragon Wirey 2 Is It Jaggy Eve Super Brain Peano Pieces Big Carbo

Tsunami

Fancy Quartet Test-5

E-curve Pinwheel

Super Dragon

G 100