Modified contact simplex iteration
Metric Geometry
2021-08-25 v2
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.
Keywords
Cite
@article{arxiv.2108.09840,
title = {Modified contact simplex iteration},
author = {Sergei Drozdov},
journal= {arXiv preprint arXiv:2108.09840},
year = {2021}
}
Comments
16 pages. Feedback welcome!