Higher Dimensional Sierpinski Gaskets

I worked with Alex Fok for the first week of the project, and mostly by myself for the rest. Luke Rogers and Robert Strichartz have been the principal advisors on this project, and several others, including Martin Kassabov, Keith Dennis, and Ed Swartz were consulted at various points along the way. This work is ongoing, and I hope to update this webpage as more results are elucidated.

This website is organized according to the different approaches used to tackle the problem of Sierpinski n-gaskets. Start with the topic introduction for general background, and shimmy over to the other pages to see what we tried and why it did or (mostly) didn't work. There is also a page organizing the C code I wrote, mostly to generate input files for Mathematica, and later Maple. I'll do my best to put only latest versions of the code on the site, but keep in mind that if the output looks wrong, it probably is.

An introduction to Sierpinski n-gaskets and the analytical problems thereon considered herein
The constant case
The reducibility problem
Twists
Perturbatory deformations and renormalization with symmetry.
Code, most of which is heavily commented.
Links to fellow researchers' pages.
Pictures, in progress.

The best way to reach me is by e-mail at mjb245 /\-(at)-/\ cornell.edu.

Last significant site update: August 16, 2006.