The Sierpinski Triangle

Sierpinski Gasket

An ever repeating pattern of triangles

Here is how you can create one:

1. Start with a triangle.
2. Shrink the triangle to half height, and put a copy in each of the three corners
3. Repeat step 2 for the smaller triangles, again and again, for ever!
sierpinski triangle evolution
First 5 steps in an infinite process ...

You can use any shape:

sierpinksi dog evolution