3 citations · 8 across the 11 of their papers we have counts for
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The Talented Mr. Inversive Triangle in the Elliptic Billiard
Dan Reznik, Ronaldo Garcia, Mark Helman
Inverting the vertices of elliptic billiard N-periodics with respect to a circle centered on one focus yields a new "focus-inversive" family inscribed in Pascal's Limaçon. The foll…
Intriguing Invariants of Centers of Ellipse-Inscribed Triangles
Mark Helman, Ronaldo Garcia, Dan Reznik
We describe invariants of centers of ellipse-inscribed triangle families with two vertices fixed to the ellipse boundary and a third one which sweeps it. We prove that: (i) if a tr…
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…