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math.DS2024
Harmonious loci of Poncelet triangles about the incircle and their degeneracies
Mark Helman, Ronaldo A. Garcia, Dan Reznik
We tour several Euclidean properties of Poncelet triangles inscribed in an ellipse and circumscribing the incircle, including loci of triangle centers and envelopes of key objects.…
math.DS2020★ 3 cited
Steiner's Hat: a Constant-Area Deltoid Associated with the Ellipse
Ronaldo Garcia, Dan Reznik, Hellmuth Stachel +1
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 ha…