Pentagram Spirals
Dynamical Systems
2013-07-22 v3
Abstract
We introduce a geometric construction which relates to the pentagram map much in the way that a logarithmic spiral relates to a circle. After introducing the construction, we establish some basic geometric facts about it, and speculate on some of the deeper algebraic structure, such as the complete integrability of the associated dynamical system.
Cite
@article{arxiv.1304.5708,
title = {Pentagram Spirals},
author = {Richard Evan Schwartz},
journal= {arXiv preprint arXiv:1304.5708},
year = {2013}
}
Comments
50 pages. In this latest version, I corrected several typos, and mildly revised the paper according to the comments of a referee. The paper will soon be published in the Journal of Experimental Math