![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEglkVw5BSNA9pnKgy101BaMoO4AWeUwLJQk_m4QrMA_uSbeefGtoXVV_bi_mBgHthUgtNsjXHR3WowJ3aPkhe7Nu7cOZXARPlisel_yDATPirM3rFYapJ-MmaJbZhSM4DQHQrqZ2Ep_yQ/s400/Sierpinski+bw+1.png)
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.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHnE216T9McQNN5-iU1fCKqh308tDoGBNFO6Tv0QQ8h1fhDKYFkocfKmpTnRhQNuOPiPmTStaMo3KoCrUlIa_CMAB6Z3GUE0uvkB8vFDFH_9XLwNvLZV9ux_2rVeuQ9FVOHKvtpgvd-A/s400/Sierpinski+4+color.png)
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.