Sierpinski Square Pyramid
3,128 views · Published 21 September 2011 · 0:40 · Indexed 11 October 2026
Channel: Paul Nathan · 2011 · Education
The Sierpinski fractal square-based pyramid constructed with a square-based pyramid seed up to level 8. The progression through the levels is also shown. This fractal was generated using the IFS (iterated function system) approach. In this approach, a base feature is recursively copied and transformed. In the present case there are 5 transformations per iteration involving only isotropic scaling and transformation (no rotation or shear). The 4D transformation matrices are given at the start of the video. This particular fractal has, in the limit of infinite recursion (fractals are limit objects), zero volume and infinite surface area.
