fractal

Here are the kolams and rangolis in this page:
  • Star of David - Fractal :-)
Rangoli: Star of David - Fractal :-)
Created by jkmrao on 2008-12-22,

This is a modified version of the Star of David.
Occupying one third of the side of each equilateral
triangle, add another triangle of one-third side
length in the middle of each side. If one goes on
doing this infinitely, one gets a fractal Star of
David! Mathematicians call these type of curves
Peano curves. Even though the operation is carried
out infinitely, the area of the curve is finite. I
did this entirely on the computer, not with hand.
That is why the thickness of lines is different.
Please bear with me for that. Enjoy and comment!

Regards! - mOhana