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ORCIDRonaldo Garcia
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2020 – today
- 2024
[i28]Mark Helman, Ronaldo Garcia, Dan Reznik:
Blown up by an equilateral: Poncelet triangles about the incircle and their degeneracies. CoRR abs/2409.19464 (2024)- 2023
- [j3]Ronaldo Garcia, Jair Koiller
, Dan Reznik:
Loci of 3-periodics in an Elliptic Billiard: Why so many ellipses? J. Symb. Comput. 114: 336-358 (2023) - 2022
- [i27]Claudio Esperança, Ronaldo Garcia, Dan Reznik:
Poncelet Spatio-Temporal Surfaces and Tangles. CoRR abs/2201.09300 (2022) - [i26]Ronaldo Garcia, Nicholas McDonald, Dan Reznik:
Exploring the Dynamics of the Circumcenter Map. CoRR abs/2202.02551 (2022) - 2021
- [j2]Ronaldo Garcia, Dan Reznik, Jair Koiller:
New Properties of Triangular Orbits in Elliptic Billiards. Am. Math. Mon. 128(10): 898-910 (2021) - [i25]Mark Helman, Dominique Laurain, Ronaldo Garcia, Dan Reznik:
Invariant Center Power and Elliptic Loci of Poncelet Triangles. CoRR abs/2102.09438 (2021) - [i24]Jair Koiller, Dan Reznik, Ronaldo Garcia:
Average Elliptic Billiard Invariants with Spatial Integrals. CoRR abs/2102.10899 (2021) - [i23]Pedro Roitman, Ronaldo Garcia, Dan Reznik:
New Invariants of Poncelet-Jacobi Bicentric Polygons. CoRR abs/2103.11260 (2021) - [i22]Daniel Jaud, Dan Reznik, Ronaldo Garcia:
Poncelet Plectra: Harmonious Properties of Cosine Space. CoRR abs/2104.13174 (2021) - [i21]Mark Helman, Dominique Laurain, Dan Reznik, Ronaldo Garcia:
A Theory for Locus Ellipticity of Poncelet 3-Periodic Centers. CoRR abs/2106.00715 (2021) - [i20]Ronaldo Garcia, Boris Odehnal, Dan Reznik:
Loci of Poncelet Triangles with Multiple Caustics. CoRR abs/2108.05430 (2021) - [i19]Filipe Bellio, Ronaldo Garcia, Dan Reznik:
Properties of Parabola-Inscribed Poncelet Polygons. CoRR abs/2111.00979 (2021) - [i18]Ronaldo Garcia, Dan Reznik, Pedro Roitman:
Discovering new Properties and Invariants of Harmonic Polygons. CoRR abs/2112.02545 (2021) - [i17]Ronaldo Garcia, Liliana Gabriela Gheorghe, Peter Moses, Dan Reznik:
Triads of Conics Associated with a Triangle. CoRR abs/2112.15232 (2021) - 2020
- [i16]Ronaldo Garcia, Dan Reznik, Jair Koiller:
Loci of Triangular Orbits in an Elliptic Billiard: Elliptic? Algebraic? CoRR abs/2001.08041 (2020) - [i15]Ronaldo Garcia, Dan Reznik, Jair Koiller:
New Properties of Triangular Orbits in Elliptic Billiards. CoRR abs/2001.08054 (2020) - [i14]Dan Reznik, Ronaldo Garcia, Jair Koiller:
Loci of 3-Periodics in an Elliptic Billiard: Intriguing Phenomena. CoRR abs/2002.00001 (2020) - [i13]Dan Reznik, Ronaldo Garcia:
Circum- and Inconic Invariants of 3-Periodics in the Elliptic Billiard. CoRR abs/2004.02680 (2020) - [i12]Dan Reznik, Ronaldo Garcia:
The Circumbilliard: Any Triangle can be a 3-Periodic. CoRR abs/2004.06776 (2020) - [i11]Dan Reznik, Ronaldo Garcia, Jair Koiller:
Forty New Invariants of N-Periodics in the Elliptic Billiard. CoRR abs/2004.12497 (2020) - [i10]Ronaldo Garcia, Dan Reznik:
Related by Similiarity: Poristic Triangles and 3-Periodics in the Elliptic Billiard. CoRR abs/2004.13509 (2020) - [i9]Ronaldo Garcia, Dan Reznik, Hellmuth Stachel, Mark Helman:
A Family of Constant-Area Deltoids Associated with the Ellipse. CoRR abs/2006.13166 (2020) - [i8]Dan Reznik, Ronaldo Garcia, Hellmuth Stachel:
Area-Invariant Pedal-Like Curves Derived from the Ellipse. CoRR abs/2009.02581 (2020) - [i7]Dan Reznik, Ronaldo Garcia:
Related by Similarity II: Poncelet 3-Periodics in the Homothetic Pair and the Brocard Porism. CoRR abs/2009.07647 (2020) - [i6]Ronaldo Garcia, Dan Reznik:
Loci of the Brocard Points over Selected Triangle Families. CoRR abs/2009.08561 (2020) - [i5]Dan Reznik, Ronaldo Garcia:
An Infinite, Converging, Sequence of Brocard Porisms. CoRR abs/2010.01391 (2020) - [i4]Mark Helman, Ronaldo Garcia, Dan Reznik:
Loci and Envelopes of Ellipse-Inscribed Triangles. CoRR abs/2010.09408 (2020) - [i3]Ronaldo Garcia, Dan Reznik:
Invariants of Self-Intersected and Inversive N-Periodics in the Elliptic Billiard. CoRR abs/2011.06640 (2020) - [i2]Ronaldo Garcia, Dan Reznik:
Family Ties: Relating Poncelet 3-Periodics by their Properties. CoRR abs/2012.11270 (2020)
2010 – 2019
- 2019
- [j1]Ronaldo Garcia:
Elliptic Billiards and Ellipses Associated to the 3-Periodic Orbits. Am. Math. Mon. 126(6): 491-504 (2019) - [i1]Dan Reznik, Ronaldo Garcia, Jair Koiller:
Can the Elliptic Billiard Still Surprise Us? CoRR abs/1911.01515 (2019)
Coauthor Index
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