Polytopal crystallographic sphere packings for geometric knot theory and fractal modeling

Iván Rasskin (LIS)

Polytopal crystallographic sphere packings are a family of highly symmetric configurations defined in multiple dimensions, constructed from crystallographic polytopes. In this talk, we will review some of their key properties and demonstrate how they can be applied to obtain a result in geometric knot theory. We will also use them to introduce a new model for assembling lacunar fractal polygons with customizable shapes.

Based in joint works with Boris Bordeaux, Christian Gentil, Lionel Garnier, and Jorge L. Ramírez Alfonsín