# Sierpinski Simplex Graphs

## Location

384H

Thursday, September 29, 2022 3:00 PM

Donald Knuth (Stanford University)

The "Sierpinski triangle graph" (based on a fractal that Mandelbrot liked to call the "Sierpinski gasket") and the analogous "Sierpinski tetrahedron graph" are well known. They have a natural generalization to simplexes of any dimension. Several elementary properties are easily proved, and some intriguing open problems also arise.