1. Fun with Sierpinski Pyramids
Dylan Bland
EPS 109
December 1, 2011

2. Instead of infinite removal… “Chaos Game” method:
Fractal pyramid:
Hausdorff dimension: log(5)/log(2) =
Each pyramid replaced by 5 pyramids, twice smaller
Instead of infinite removal…
“Chaos Game” method:
Fractal is created iteratively creating a sequence of points, in which each point in the sequence is a given fraction of the distance between the previous point and one of the vertices of the triangle
Also an IFS --- Iterated Function System
Total of 5 transformations with an equal chance of happening, one for each side of the pyramid

3. Sierpinski Movie