Exploring the Dynamics of the Circumcenter Map
Dynamical Systems
2022-05-17 v3 Graphics
Metric Geometry
Abstract
Using experimental techniques, we study properties of the "circumcenter map", which, upon iterations sends an -gon to a scaled and rotated copy of itself. We also explore the topology of area-expanding and area-contracting regions induced by this map.
Cite
@article{arxiv.2202.02551,
title = {Exploring the Dynamics of the Circumcenter Map},
author = {Nicholas McDonald and Ronaldo Garcia and Dan Reznik},
journal= {arXiv preprint arXiv:2202.02551},
year = {2022}
}
Comments
14 pages, 14 figures