A Gallery of Fractal Curves
by Jeffrey Ventrella (these images are explained in fractalcurves.com)



A clever self-avoiding curve.

The same curve with filled-in colors

Can you find the root of the top-most extremity?

A remarkable specimen

Bats

Check out the interplay between symmetry and asymmetry

Another symmetry / asymmetry beauty

A Root 9 space-filler

A specimen of the Root 9 Square Grid family with dimension < 2

A specimen of the Root 7 family with eyeballs added

A self-avoider from the Root 4 Square Grid family

A root 9 Triangle Grid specimen on a triangle initiator

A Root 13 Triangular Grid space-filler

A Root 9 Square grid space filler

A Koch variation

The Brain-filler!

I call this one "Mandala"

Two specimens in a tangled embrace

A space-filler of the Root 9 Triangle family

A specimen of the Root 5 family

Two Root 5 specimens mating

Root 9 triangle space-filler

A lacey space-filler

An intricate space-filler

dimension < 2

a self-avoider of the Root 4 square grid family

A relative from the Root 8 family

My proud discovery! The Dragon of Eve

A Craggy Dragon

Not quite filling the Koch Snowflake

a self-avoider with dimension < 2

Three craggy Root 7 species, mating

Space-filling a triangle with variable-length goodness

Analyzing the anatomy of a self-crossing Root 7 dragon

Scrolls within scrolls

A Ter Dragon with complex phisiology

A complex Root 7 self-crosser

Three of these curves mate to form a Gosper Island

A space-filler with its chambers playfully-colored

A variation of the 7-Dragon

A variation of the Harter-Heighway Dragon

Another variation of the Harter-Heighway Dragon

Another variation of the Harter-Heighway Dragon

Another variation of the Harter-Heighway Dragon

Slef-similar poem

Roots and Leaves

Space-filler

Vascular Twin-Dragon