27 citations · 167 across the 57 of their papers we have counts for
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math.DS2022
Exploring the Dynamics of the Circumcenter Map
Nicholas McDonald, Ronaldo Garcia, Dan Reznik
Using experimental techniques, we study properties of the "circumcenter map", which, upon iterations sends an -gon to a scaled and rotated copy of itself. We also explore th…
math.GT2022
Poncelet Spatio-Temporal Surfaces and Tangles
Claudio Esperança, Ronaldo Garcia, Dan Reznik
We explore geometric and topological properties of 3d surfaces swept by Poncelet triangles, as well as tangles formed by associated points.
math.MG2022
Exploring the Steiner-Soddy Porism
Ronaldo Garcia, Liliana Gheorghe, Dan Reznik
We explore properties and loci of a Poncelet family of polygons -- called here Steiner-Soddy -- whose vertices are centers of circles in the Steiner porism, including conserved qua…