Parabola-Inscribed Poncelet Polygons Derived from the Bicentric Family

Published 1 Nov 2021 in math.MG, cs.GR, cs.RO, and math.DS | (2111.00979v3)

Abstract: We study loci and properties of a Parabola-inscribed family of Poncelet polygons whose caustic is a focus-centered circle. This family is the polar image of a special case of the bicentric family with respect to its circumcircle. We describe closure conditions, curious loci, and new conserved quantities.

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