I love your deigns very much. I came here looking for an image related to mathematics, and really liked the dragon curve. I’m using it on my Facebook profile, if you don’t mind.

]]>It was indeed very helpful and insightful while

being straight forward to the point. ]]>

You can make such a dragon with paper:

take a thin kind of paper and cut a long strip (1/2inch x 2 foot) fold it as many times as you can as long as the folds stay sharp(5 times). Unfold every fold not entirely but only 90º. You get a little dragon. When you do the same with a second strip, that one should fit in snuggly with the first and making the dragon twice as big(one beginning touches the others beginning). this can be repeated endlessly, showing the same picture as the pythagoras dragon curve(above)

Can you make a 3D glas-tree or a pyth-tree of air in a bowl of water? Greeting A. ]]>

I thought, since we are in 3D, why not also use three-dimensional basis too? And the result is quite different from 2D-based version (mostly due to twisting).

]]>S-> S, rotate_scale_translate(k, x, S), rotate_scale_translate(90 – k, y, S)

where rotate_scale( angle, scale_val, non_terminal) would kick off a new iteration of the fractal, say by appending some parameters for the affine transform to apply in the IFS.

The neat thing about this is that you can create alternating fractals like:

S-> Q, rotate_scale_translate(k, x, Q), rotate_scale_translate(90 – k, y, Q)

Q-> S, rotate_scale_translate(90 – k, x, S), rotate_scale_translate( k, y, S)

then you’ll have a fractal that kinks back and forth.

<3

]]>I made on photoshop backgrounds for myspace or youtube and ect..

my backgrounds:http://tinyurl.com/5assk2

take care and thank you again! ]]>