Line, Spiral, Dense in Space
Complex Variables
2026-05-28 v1
Abstract
Dobbs proved that the second iterate of almost every line in the complex plane under the exponential function is dense in the plane. In this paper, we prove an analogous result for the second iterate of the Zorich map in .
Cite
@article{arxiv.2605.28470,
title = {Line, Spiral, Dense in Space},
author = {Atakora Agoro and Alastair N. Fletcher},
journal= {arXiv preprint arXiv:2605.28470},
year = {2026}
}