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Elliptical Billiards. Two elementary triangular orbits

Elliptical Billiards. Two elementary triangular orbits

Consider the

Triangular Orbits in Elliptic Billiards: Peter Moses' Points on the Billiard

Triangular Orbits in Elliptic Billiards: Peter Moses' Points on the Billiard

Let E be an

Path of Incenter for Family of Triangular Orbits in Elliptical Billiard  (a/b = 1.5)

Path of Incenter for Family of Triangular Orbits in Elliptical Billiard (a/b = 1.5)

An a/b=1.5

Triangular Orbits in Elliptic Billiards -- an Interactive App

Triangular Orbits in Elliptic Billiards -- an Interactive App

Our [much improved 2020] interactive app can be found here: https://editor.p5js.org/dreznik/present/i1Lin7lt7 Our IMPA talk: ...

Elliptical Pool Table

Elliptical Pool Table

Pool table

Family of Triangular Orbits in Elliptical Billiard (a/b=1.5): Locus of Incenter and Contact Point

Family of Triangular Orbits in Elliptical Billiard (a/b=1.5): Locus of Incenter and Contact Point

Shown is a continuous sweep of the 1d family of

Elliptical Pool Table - Numberphile

Elliptical Pool Table - Numberphile

A game to play on the

N=3 Orbits in Elliptic Billiards: Cosine (2nd Lemoine) Circle of Excentral Triangle is Stationary v2

N=3 Orbits in Elliptic Billiards: Cosine (2nd Lemoine) Circle of Excentral Triangle is Stationary v2

Shown is an a/b=1.5

Elliptical Pool Table

Elliptical Pool Table

So, this is my

Elliptic Billiards: The Jerabek Hyperbola and Circumbilliard of the Excentral Triangle

Elliptic Billiards: The Jerabek Hyperbola and Circumbilliard of the Excentral Triangle

An a/b=1.5