Geodesic
The Ballet of Triangle Centers on the Elliptic Billiard
Journal for geometry and graphics, Tome 24 (2020) no. 1, pp. 79-101 Cet article a éte moissonné depuis la source Heldermann Verlag

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We explore a bevy of new phenomena displayed by 3-periodics in the Elliptic Billiard, including (i) their dynamic geometry and (ii) the non-monotonic motion of certain Triangle Centers constrained to the Billiard boundary. Fascinating is the joint motion of certain pairs of centers, whose many stops-and-gos are akin to a Ballet.
Classification : 51N20, 51M04, 51-04, 37-04
Mots-clés : Elliptic billiard, periodic trajectories, triangle center, loci, dynamic geometry 
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     author = {D. S. Reznik and R. Garcia and J. Koiller },
     title = {The {Ballet} of {Triangle} {Centers} on the {Elliptic} {Billiard}},
     journal = {Journal for geometry and graphics},
     pages = {79--101},
     year = {2020},
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D. S. Reznik; R. Garcia; J. Koiller . The Ballet of Triangle Centers on the Elliptic Billiard. Journal for geometry and graphics, Tome 24 (2020) no. 1, pp. 79-101. http://geodesic.mathdoc.fr/item/JGG_2020_24_1_JGG_2020_24_1_a7/