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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: ...

Triangular Orbits in an Elliptic Billiards and its Derived Triangles

Triangular Orbits in an Elliptic Billiards and its Derived Triangles

A black

Triangular Orbits in Elliptic Billiards: the Mittenpunkt X(9) is stationary at the origin

Triangular Orbits in Elliptic Billiards: the Mittenpunkt X(9) is stationary at the origin

The family of N=3 (

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

Elliptic Orbits explained by Albert Baez.

Elliptic Orbits explained by Albert Baez.

Professor Albert Baez explaining

Triangular Orbits in Elliptic Billiards: Locus of Orthic's Orthocenter and Orthic Orthic's Incenter

Triangular Orbits in Elliptic Billiards: Locus of Orthic's Orthocenter and Orthic Orthic's Incenter

An

Triangular Orbits in Elliptic Billiards: Locus of the Bevan point X(40)

Triangular Orbits in Elliptic Billiards: Locus of the Bevan point X(40)

An

Triangular Orbits in Elliptic Billiards: The Jerabek Circumhyperbola do the Excentral Triangle

Triangular Orbits in Elliptic Billiards: The Jerabek Circumhyperbola do the Excentral Triangle

Shown is the family of

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

Space Mechanics | Orbital Maneuver | Bi-elliptic Transfer

Space Mechanics | Orbital Maneuver | Bi-elliptic Transfer

Sometimes, bi-

Triangular Orbits in Elliptic Billiards: Locus of Extouchpoints, Feuerbach Pt and its Anticomplement

Triangular Orbits in Elliptic Billiards: Locus of Extouchpoints, Feuerbach Pt and its Anticomplement

Three kinematic phenomena in an

Quadrangular Orbits in Elliptic Billiards: Loci of Triangle Centers for Vertex Triad

Quadrangular Orbits in Elliptic Billiards: Loci of Triangle Centers for Vertex Triad

Family of N=4