Dragon Curves



One of the most versatile space filling curves is Heighway's Dragon.



The dragon curve can be created by folding a strip of paper over and over, then opening each fold to ninety degrees. Using turtle graphics higher order dragons can be made by replacing each line with two shorter lines ninety degrees to each other, alternating the direction. Continuing this to its limit makes the standard dragon.



Simply by changing the angles between the segments, a family of mutant dragons can be created.



Some mutations retain there space filling properties.



All of these are just small changes in the shape of the dragon, there are many other interesting things you can do with dragons.



Space Filling Curves
Space Filling Curves 2002
Space Filling Curves 2009
Space Filling Curves 2010
Dragons
IFS Dragons
Interactive Turtle Tree
Interactive Sierpinski Curve
Interactive Turtle Dragon
Mandelbrot and Julia set animations
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Gary Teachout