The Sierpinski Triangle

Sierpinski Gasket

The Sierpinski Triangle

An ever repeating pattern of triangles


Here is how you can create one:

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

You can use any shape: