Ronaldo Garcia

33 papers Journal 33

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Four special Poncelet triangle families about the incircle. CoRR Ronaldo Garcia, Mark Helman, Dan Reznik
2025	J	`jnl`	The stationary focus of the Kiepert parabola over a special Poncelet triangle family. CoRR Mark Helman, Ronaldo Garcia, Dan Reznik
2024	J	`jnl`	Blown up by an equilateral: Poncelet triangles about the incircle and their degeneracies. CoRR Mark Helman, Ronaldo Garcia, Dan Reznik
2023	J	`jnl`	Loci of 3-periodics in an Elliptic Billiard: Why so many ellipses? J. Symb. Comput. Ronaldo Garcia, Jair Koiller, Dan Reznik
2022	J	`jnl`	Exploring the Dynamics of the Circumcenter Map. CoRR Ronaldo Garcia, Nicholas McDonald, Dan Reznik
2022	J	`jnl`	Poncelet Spatio-Temporal Surfaces and Tangles. CoRR Claudio Esperança, Ronaldo Garcia, Dan Reznik
2021	J	`jnl`	A Theory for Locus Ellipticity of Poncelet 3-Periodic Centers. CoRR Mark Helman, Dominique Laurain, Dan Reznik, Ronaldo Garcia
2021	J	`jnl`	Average Elliptic Billiard Invariants with Spatial Integrals. CoRR Jair Koiller, Dan Reznik, Ronaldo Garcia
2021	J	`jnl`	Discovering new Properties and Invariants of Harmonic Polygons. CoRR Ronaldo Garcia, Dan Reznik, Pedro Roitman
2021	J	`jnl`	Invariant Center Power and Elliptic Loci of Poncelet Triangles. CoRR Mark Helman, Dominique Laurain, Ronaldo Garcia, Dan Reznik
2021	J	`jnl`	Loci of Poncelet Triangles with Multiple Caustics. CoRR Ronaldo Garcia, Boris Odehnal, Dan Reznik
2021	J	`jnl`	New Invariants of Poncelet-Jacobi Bicentric Polygons. CoRR Pedro Roitman, Ronaldo Garcia, Dan Reznik
2021	J	`jnl`	New Properties of Triangular Orbits in Elliptic Billiards. Am. Math. Mon. Ronaldo Garcia, Dan Reznik, Jair Koiller
2021	J	`jnl`	Poncelet Plectra: Harmonious Properties of Cosine Space. CoRR Daniel Jaud, Dan Reznik, Ronaldo Garcia
2021	J	`jnl`	Properties of Parabola-Inscribed Poncelet Polygons. CoRR Filipe Bellio, Ronaldo Garcia, Dan Reznik
2021	J	`jnl`	Triads of Conics Associated with a Triangle. CoRR Ronaldo Garcia, Liliana Gabriela Gheorghe, Peter Moses, Dan Reznik
2020	J	`jnl`	A Family of Constant-Area Deltoids Associated with the Ellipse. CoRR Ronaldo Garcia, Dan Reznik, Hellmuth Stachel, Mark Helman
2020	J	`jnl`	An Infinite, Converging, Sequence of Brocard Porisms. CoRR Dan Reznik, Ronaldo Garcia
2020	J	`jnl`	Area-Invariant Pedal-Like Curves Derived from the Ellipse. CoRR Dan Reznik, Ronaldo Garcia, Hellmuth Stachel
2020	J	`jnl`	Circum- and Inconic Invariants of 3-Periodics in the Elliptic Billiard. CoRR Dan Reznik, Ronaldo Garcia
2020	J	`jnl`	Family Ties: Relating Poncelet 3-Periodics by their Properties. CoRR Ronaldo Garcia, Dan Reznik
2020	J	`jnl`	Forty New Invariants of N-Periodics in the Elliptic Billiard. CoRR Dan Reznik, Ronaldo Garcia, Jair Koiller
2020	J	`jnl`	Invariants of Self-Intersected and Inversive N-Periodics in the Elliptic Billiard. CoRR Ronaldo Garcia, Dan Reznik
2020	J	`jnl`	Loci and Envelopes of Ellipse-Inscribed Triangles. CoRR Mark Helman, Ronaldo Garcia, Dan Reznik
2020	J	`jnl`	Loci of 3-Periodics in an Elliptic Billiard: Intriguing Phenomena. CoRR Dan Reznik, Ronaldo Garcia, Jair Koiller
2020	J	`jnl`	Loci of Triangular Orbits in an Elliptic Billiard: Elliptic? Algebraic? CoRR Ronaldo Garcia, Dan Reznik, Jair Koiller
2020	J	`jnl`	Loci of the Brocard Points over Selected Triangle Families. CoRR Ronaldo Garcia, Dan Reznik
2020	J	`jnl`	New Properties of Triangular Orbits in Elliptic Billiards. CoRR Ronaldo Garcia, Dan Reznik, Jair Koiller
2020	J	`jnl`	Related by Similarity II: Poncelet 3-Periodics in the Homothetic Pair and the Brocard Porism. CoRR Dan Reznik, Ronaldo Garcia
2020	J	`jnl`	Related by Similiarity: Poristic Triangles and 3-Periodics in the Elliptic Billiard. CoRR Ronaldo Garcia, Dan Reznik
2020	J	`jnl`	The Circumbilliard: Any Triangle can be a 3-Periodic. CoRR Dan Reznik, Ronaldo Garcia
2019	J	`jnl`	Can the Elliptic Billiard Still Surprise Us? CoRR Dan Reznik, Ronaldo Garcia, Jair Koiller
2019	J	`jnl`	Elliptic Billiards and Ellipses Associated to the 3-Periodic Orbits. Am. Math. Mon. Ronaldo Garcia