Ronaldo Garcia

Publication Activity (10 Years)

Years Active: 2019-2023
Publications (10 Years): 30

Top Topics

Ellipse Detection

Desirable Properties

Moment Invariants

Top Venues

J. Symb. Comput.

Publications

Ronaldo Garcia, Jair Koiller, Dan Reznik
Loci of 3-periodics in an Elliptic Billiard: Why so many ellipses? J. Symb. Comput. 114 (2023)
Ronaldo Garcia, Nicholas McDonald, Dan Reznik
Exploring the Dynamics of the Circumcenter Map. CoRR (2022)
Claudio Esperança, Ronaldo Garcia, Dan Reznik
Poncelet Spatio-Temporal Surfaces and Tangles. CoRR (2022)
Daniel Jaud, Dan Reznik, Ronaldo Garcia
Poncelet Plectra: Harmonious Properties of Cosine Space. CoRR (2021)
Ronaldo Garcia, Liliana Gabriela Gheorghe, Peter Moses, Dan Reznik
Triads of Conics Associated with a Triangle. CoRR (2021)
Ronaldo Garcia, Boris Odehnal, Dan Reznik
Loci of Poncelet Triangles with Multiple Caustics. CoRR (2021)
Ronaldo Garcia, Dan Reznik, Pedro Roitman
Discovering new Properties and Invariants of Harmonic Polygons. CoRR (2021)
Pedro Roitman, Ronaldo Garcia, Dan Reznik
New Invariants of Poncelet-Jacobi Bicentric Polygons. CoRR (2021)
Mark Helman, Dominique Laurain, Ronaldo Garcia, Dan Reznik
Invariant Center Power and Elliptic Loci of Poncelet Triangles. CoRR (2021)
Ronaldo Garcia, Dan Reznik, Jair Koiller
New Properties of Triangular Orbits in Elliptic Billiards. Am. Math. Mon. 128 (10) (2021)
Filipe Bellio, Ronaldo Garcia, Dan Reznik
Properties of Parabola-Inscribed Poncelet Polygons. CoRR (2021)
Mark Helman, Dominique Laurain, Dan Reznik, Ronaldo Garcia
A Theory for Locus Ellipticity of Poncelet 3-Periodic Centers. CoRR (2021)
Jair Koiller, Dan Reznik, Ronaldo Garcia
Average Elliptic Billiard Invariants with Spatial Integrals. CoRR (2021)
Ronaldo Garcia, Dan Reznik
Invariants of Self-Intersected and Inversive N-Periodics in the Elliptic Billiard. CoRR (2020)
Dan Reznik, Ronaldo Garcia
An Infinite, Converging, Sequence of Brocard Porisms. CoRR (2020)
Ronaldo Garcia, Dan Reznik, Jair Koiller
New Properties of Triangular Orbits in Elliptic Billiards. CoRR (2020)
Dan Reznik, Ronaldo Garcia
Circum- and Inconic Invariants of 3-Periodics in the Elliptic Billiard. CoRR (2020)
Dan Reznik, Ronaldo Garcia, Hellmuth Stachel
Area-Invariant Pedal-Like Curves Derived from the Ellipse. CoRR (2020)
Dan Reznik, Ronaldo Garcia, Jair Koiller
Forty New Invariants of N-Periodics in the Elliptic Billiard. CoRR (2020)
Ronaldo Garcia, Dan Reznik, Hellmuth Stachel, Mark Helman
A Family of Constant-Area Deltoids Associated with the Ellipse. CoRR (2020)
Ronaldo Garcia, Dan Reznik
Loci of the Brocard Points over Selected Triangle Families. CoRR (2020)
Dan Reznik, Ronaldo Garcia
Related by Similarity II: Poncelet 3-Periodics in the Homothetic Pair and the Brocard Porism. CoRR (2020)
Ronaldo Garcia, Dan Reznik, Jair Koiller
Loci of Triangular Orbits in an Elliptic Billiard: Elliptic? Algebraic? CoRR (2020)
Dan Reznik, Ronaldo Garcia
The Circumbilliard: Any Triangle can be a 3-Periodic. CoRR (2020)
Ronaldo Garcia, Dan Reznik
Related by Similiarity: Poristic Triangles and 3-Periodics in the Elliptic Billiard. CoRR (2020)
Mark Helman, Ronaldo Garcia, Dan Reznik
Loci and Envelopes of Ellipse-Inscribed Triangles. CoRR (2020)
Dan Reznik, Ronaldo Garcia, Jair Koiller
Loci of 3-Periodics in an Elliptic Billiard: Intriguing Phenomena. CoRR (2020)
Ronaldo Garcia, Dan Reznik
Family Ties: Relating Poncelet 3-Periodics by their Properties. CoRR (2020)
Ronaldo Garcia
Elliptic Billiards and Ellipses Associated to the 3-Periodic Orbits. Am. Math. Mon. 126 (6) (2019)
Dan Reznik, Ronaldo Garcia, Jair Koiller
Can the Elliptic Billiard Still Surprise Us? CoRR (2019)