2 papers
math.CA2021
On foci of ellipses inscribed in cyclic polygons
Markus Hunziker, Andrei Martinez-Finkelshtein, Taylor Poe +1
Given a natural number and two points and in the unit disk in the complex plane, it is known that there exists a unique elliptical disk having and…
math.AG2021
Poncelet-Darboux, Kippenhahn, and Szegő: interactions between projective geometry, matrices and orthogonal polynomials
Markus Hunziker, Andrei Martinez-Finkelshtein, Taylor Poe +1
We study algebraic curves that are envelopes of families of polygons supported on the unit circle T. We address, in particular, a characterization of such curves of minimal class a…