Modified contact simplex iteration
arXiv:2108.09840
Abstract
We study the iterations of the procedure of taking the contact simplex. We define the concept of the root of the simplex, which is a homothety image of contact simplex with a special coefficient greater than 1. The article shows that once we iterate the root of a given simplex, the circumcenter sequence of these simplices has two partial limits.
16 pages. Feedback welcome!