5 citations · 16 across the 7 of their papers we have counts for
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math.DG2021★ 4 cited
On the Motion of Billiards in Ellipses
H. Stachel
For billiards in an ellipse with an ellipse as caustic, there exist canonical coordinates such that the billiard transformation from vertex to vertex is equivalent to a shift of co…
math.MG2021★ 2 cited
The Geometry of Billiards in Ellipses and their Poncelet Grids
H. Stachel
The goal of this paper is an analysis of the geometry of billiards in ellipses, based on properties of confocal central conics. The extended sides of the billiards meet at points w…
nlin.CD2021★ 5 cited
Isometric Billiards in Ellipses and Focal Billiards in Ellipsoids
H. Stachel
Billiards in ellipses have a confocal ellipse or hyperbola as caustic. The goal of this paper is to prove that for each billiard of one type there exists an isometric counterpart o…