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Steiner's Hat: a Constant-Area Deltoid Associated with the Ellipse

Published 23 Jun 2020 in math.DS, cs.CG, cs.GR, math.DG, and math.MG | (2006.13166v5)

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.

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