(Super)ellipse billiard @animations_ag
(Super)ellipse billiard  @animations_ag
Uploaded February 2024 | Updated September 2026, 2 weeks ago
An ellipse (x^2 + (y/a)^2 = 1) and a superellipse (x^4 + (y/a)^4 = 1) billiard are compared by executing 100 linearly arranged balls in the same direction.

The balls in the superellipse display a chaotic behaviour compared to the linear case for the ellipse.

Music by @gpcbass. The song is called End of nine 2, and made today specifically for this video.

Visuals done in Python and FFmpeg.
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Alexander Gustafsson |

(Super)ellipse billiard

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