Rectangles conformally inscribed in lines
Metric Geometry
2021-08-04 v1
Abstract
A parallelogram is conformally inscribed in four lines in the plane if it is inscribed in a scaled copy of the configuration of four lines. We describe the geometry of the three-dimensional Euclidean space whose points are the parallelograms conformally inscribed in sequence in these four lines. In doing so, we describe the flow of inscribed rectangles by introducing a compact model of the rectangle inscription problem.
Keywords
Cite
@article{arxiv.2108.01135,
title = {Rectangles conformally inscribed in lines},
author = {Bruce Olberding and Elaine A. Walker},
journal= {arXiv preprint arXiv:2108.01135},
year = {2021}
}
Comments
23 pages, 11 figures. Comments welcome!