Steiner's Hat: a Constant-Area Deltoid Associated with the Ellipse
Dynamical Systems
2021-05-06 v5 Computational Geometry
Graphics
Differential Geometry
Metric Geometry
Abstract
The Negative Pedal Curve (NPC) of the Ellipse with respect to a boundary point M is a 3-cusp closed-curve which is the affine image of the Steiner Deltoid. Over all M the family has invariant area and displays an array of interesting properties.
Cite
@article{arxiv.2006.13166,
title = {Steiner's Hat: a Constant-Area Deltoid Associated with the Ellipse},
author = {Ronaldo Garcia and Dan Reznik and Hellmuth Stachel and Mark Helman},
journal= {arXiv preprint arXiv:2006.13166},
year = {2021}
}
Comments
23 pages, 16 figures, 4 tables, 6 video links