G e o_s y n_c h r o n i_c i t y

Another Fractal Day...

The Dragon Curve and TwinDragon

Take a long thin ribbon of paper and fold it in half, making it half as long. Keep on doing this in the same direction until it's too thick to fold. Then open it out and make every fold 90 degrees. The resulting shape is called the Dragon Curve for its form (see the bottom 3 images). It's a simple fractal with every section identical except for scale. But it's also a tile, meaning that copies of it can be scattered across the space of its dimension with no overlaps or spaces in between. Moreover, it can tile in 2 ways: in a pinwheel of 4, or in 2 laid "nose to tail". This latter shape is then called the TwinDragon, a tile in its own right (see the top 4 images). Made in CorelDraw, jazzed up in PhotoShop.