Thursday, July 7, 2011

Two versions of Sierpinski's Gasket, using the new toys.

The standard version of Sierpinski's gasket is two colors. It is a simple fractal that is supposed to be created by infinite recursion, but I only have finitely many triangles, so this will have to do.

Here is a four color version of the gasket, using Pascal's triangle and mod 4 arithmetic. Four colors lets me make a bigger version, but some color will eventually be in short supply, this time it was the aquamarine.

I have an idea for how to make this using empty space as the most used shape. That should make a bigger version.

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