Steiner's Hat: a Constant-Area Deltoid Associated with the Ellipse
arXiv:2006.13166 · doi:10.31896/k.24.2
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.
23 pages, 16 figures, 4 tables, 6 video links