Outer billiards is a dynamical system based on a convex shape in the plane. Classically, this system is defined for the Euclidean plane but one can also consider the system in the hyperbolic plane or in other spaces that suitably generalize the plane. Outer billiards differs from a usual dynamical billiard in that it deals with a discrete sequence of moves outside the shape rather than inside of it. (Wikipedia).
Adding Vectors Geometrically: Dynamic Illustration
Link: https://www.geogebra.org/m/tsBer5An
From playlist Trigonometry: Dynamic Interactives!
Which Quadrant(s)? Trigonometry Quiz (with feedback)
Link: https://www.geogebra.org/m/NB6bpvR9 BGM: Andy Hunter
From playlist Trigonometry: Dynamic Interactives!
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Link: https://www.geogebra.org/m/xDrd5X3w
From playlist Geometry: Dynamic Interactives!
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This comes from Twenty Four, Season 04, Episode 11
From playlist Mathematical Shenanigans
Outer measures - Part 2: Examples (Measure Theory Part 21)
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From playlist Measure Theory
Trigonometry 6 The Sine of the Sum and the Difference of Two Angles
A description of the sine function of the sum and difference of two angles.
From playlist Trigonometry
Outer measures - Part 1 (Measure Theory Part 20)
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From playlist Measure Theory
Filiz Dogru: Outer Billiards: A Comparison Between Affine, Hyperbolic, and Symplectic Geometry
Filiz Dogru, Grand Valley State University Title: Outer Billiards: A Comparison Between Affine Geometry, Hyperbolic Geometry, and Symplectic Geometry Outer billiards appeared first as an entertainment question. Its popularity increased after J. Moser’s description as a crude model of the p
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Inner and outer billiards in symplectic spaces - Sergei Tabachnikov
Joint IAS/Princeton University Symplectic Geometry Seminar Topic: Inner and outer billiards in symplectic spaces Speaker: Sergei Tabachnikov Affiliation: Pennsylvania State University Date: May 02, 2022 I shall present two billiard-like systems associated with a convex hypersurface in a
From playlist Mathematics
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Members' Seminar Topic: A tale of two conjectures: from Mahler to Viterbo. Speaker: Yaron Ostrover Affiliation: Tel Aviv University, von Neumann Fellow, School of Mathematics Date: November 19, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Statistics for a Sinai billiard with obstacles on a square lattice
This second video with collision statistics in a Sinai billiard features circular obstacles placed on a square lattice. The bottom half of the simulation shows a type of Sinai billiard: a particle is moving at constant speed, and bouncing off 380 circular pegs, as well as the rectangular b
From playlist Particles in billiards
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Asaf Hadari, Gibbs Assistant Professor in the Yale Mathematics Department, gives a lecture during the Math Mornings at Yale on Reflections on the Game of Billiards. Math Mornings is a series of public lectures aimed at bringing the joy and variety of mathematics to students and their fami
From playlist Math Mornings at Yale
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AWESOME antigravity electromagnetic levitator (explaining simply)
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From playlist ELECTROMAGNETISM
The eccentric annular billiard, or how to mix a Pan Galactic Gargle Blaster
The two circles forming this annular billiard do not have the same center. The inner circle has been moved a little bit to the right, compared to a perfect annulus. The reason is that if both circles were concentric, conservation of angular momentum would make the billiard regular (or inte
From playlist Particles in billiards
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This sixth video with collision statistics in a Sinai billiard finally uses periodic boundary conditions (or wrap-around, or pacman-style boundaries), which gives "cleaner" collision and mean path distributions as for reflecting boundary conditions. The bottom half of the simulation shows
From playlist Particles in billiards
Sinai billiard on a torus with triangular lattice, collisions and free path statistics
Like the video https://youtu.be/mLYes2W2U3Q, this seventh simulation with collision statistics in a Sinai billiard uses periodic boundary conditions (or wrap-around, or pacman-style boundaries), which gives "cleaner" collision and mean path distributions as for reflecting boundary conditio
From playlist Particles in billiards
Outer measures - Part 3: Proof (Measure Theory Part 22)
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From playlist Measure Theory