Ronaldo Garcia

According to our database, Ronaldo Garcia authored at least 33 papers between 2019 and 2026.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2026

Conic locus of inversive Poncelet circumcenter and two points of invariant circle power.

Ronaldo Garcia, Mark Helman, Dan Reznik

CoRR, April, 2026

2025

Four special Poncelet triangle families about the incircle.

Ronaldo Garcia, Mark Helman, Dan Reznik

CoRR, December, 2025

The stationary focus of the Kiepert parabola over a special Poncelet triangle family.

Mark Helman, Ronaldo Garcia, Dan Reznik

CoRR, December, 2025

2024

Blown up by an equilateral: Poncelet triangles about the incircle and their degeneracies.

Mark Helman, Ronaldo Garcia, Dan Reznik

CoRR, 2024

2023

Loci of 3-periodics in an Elliptic Billiard: Why so many ellipses?

Ronaldo Garcia, Jair Koiller, Dan Reznik

J. Symb. Comput., 2023

2022

Exploring the Dynamics of the Circumcenter Map.

Ronaldo Garcia, Nicholas McDonald, Dan Reznik

CoRR, 2022

Poncelet Spatio-Temporal Surfaces and Tangles.

Claudio Esperança, Ronaldo Garcia, Dan Reznik

CoRR, 2022

2021

New Properties of Triangular Orbits in Elliptic Billiards.

Ronaldo Garcia, Dan Reznik, Jair Koiller

Am. Math. Mon., 2021

Triads of Conics Associated with a Triangle.

Ronaldo Garcia, Liliana Gabriela Gheorghe, Peter Moses, Dan Reznik

CoRR, 2021

Discovering new Properties and Invariants of Harmonic Polygons.

Ronaldo Garcia, Dan Reznik, Pedro Roitman

CoRR, 2021

Properties of Parabola-Inscribed Poncelet Polygons.

Filipe Bellio, Ronaldo Garcia, Dan Reznik

CoRR, 2021

Loci of Poncelet Triangles with Multiple Caustics.

Ronaldo Garcia, Boris Odehnal, Dan Reznik

CoRR, 2021

A Theory for Locus Ellipticity of Poncelet 3-Periodic Centers.

Mark Helman, Dominique Laurain, Dan Reznik, Ronaldo Garcia

CoRR, 2021

Poncelet Plectra: Harmonious Properties of Cosine Space.

Daniel Jaud, Dan Reznik, Ronaldo Garcia

CoRR, 2021

New Invariants of Poncelet-Jacobi Bicentric Polygons.

Pedro Roitman, Ronaldo Garcia, Dan Reznik

CoRR, 2021

Average Elliptic Billiard Invariants with Spatial Integrals.

Jair Koiller, Dan Reznik, Ronaldo Garcia

CoRR, 2021

Invariant Center Power and Elliptic Loci of Poncelet Triangles.

Mark Helman, Dominique Laurain, Ronaldo Garcia, Dan Reznik

CoRR, 2021

2020

Family Ties: Relating Poncelet 3-Periodics by their Properties.

Ronaldo Garcia, Dan Reznik

CoRR, 2020

Invariants of Self-Intersected and Inversive N-Periodics in the Elliptic Billiard.

Ronaldo Garcia, Dan Reznik

CoRR, 2020

Loci and Envelopes of Ellipse-Inscribed Triangles.

Mark Helman, Ronaldo Garcia, Dan Reznik

CoRR, 2020

An Infinite, Converging, Sequence of Brocard Porisms.

Dan Reznik, Ronaldo Garcia

CoRR, 2020

Loci of the Brocard Points over Selected Triangle Families.

Ronaldo Garcia, Dan Reznik

CoRR, 2020

Related by Similarity II: Poncelet 3-Periodics in the Homothetic Pair and the Brocard Porism.

Dan Reznik, Ronaldo Garcia

CoRR, 2020

Area-Invariant Pedal-Like Curves Derived from the Ellipse.

Dan Reznik, Ronaldo Garcia, Hellmuth Stachel

CoRR, 2020

A Family of Constant-Area Deltoids Associated with the Ellipse.

Ronaldo Garcia, Dan Reznik, Hellmuth Stachel, Mark Helman

CoRR, 2020

Related by Similiarity: Poristic Triangles and 3-Periodics in the Elliptic Billiard.

Ronaldo Garcia, Dan Reznik

CoRR, 2020

Forty New Invariants of N-Periodics in the Elliptic Billiard.

Dan Reznik, Ronaldo Garcia, Jair Koiller

CoRR, 2020

The Circumbilliard: Any Triangle can be a 3-Periodic.

Dan Reznik, Ronaldo Garcia

CoRR, 2020

Circum- and Inconic Invariants of 3-Periodics in the Elliptic Billiard.

Dan Reznik, Ronaldo Garcia

CoRR, 2020

Loci of 3-Periodics in an Elliptic Billiard: Intriguing Phenomena.

Dan Reznik, Ronaldo Garcia, Jair Koiller

CoRR, 2020

Loci of Triangular Orbits in an Elliptic Billiard: Elliptic? Algebraic?

Ronaldo Garcia, Dan Reznik, Jair Koiller

CoRR, 2020

2019

Elliptic Billiards and Ellipses Associated to the 3-Periodic Orbits.

Ronaldo Garcia

Am. Math. Mon., 2019

Can the Elliptic Billiard Still Surprise Us?

Dan Reznik, Ronaldo Garcia, Jair Koiller

CoRR, 2019