Skew ball throw on a paraboloid @animations

Uploaded June 2026 | Updated September 2026, 2 weeks ago

Inspired by a comment from @alltheclovers532 in my other similar video, youtu.be/YDzirlPKXRU

Here, the balls are thrown with an initial lateral velocity on the function surface instead of just dropped vertically. Further, some improvements have been made in the perception of the paraboloid surface. Two different initial ball configurations are shown. Despite depicted finite-sized, the balls are mathematically point-like, i.e., no collisions, rotational energy, etc.

Python/Blender/FFmpeg

2^28 balls constrained by gravity and a W

$Fractal emerging from chaos in a circle Shown is a ball bouncing in a circle under gravity for many start positions. The sixth bounce is associated with a color of the circle for colouring a pixel representing the start position. For a relatively high pixel density, the resulting image becomes a fractal. In the very end, a corresponding image for 10 bounces is shown, indicating, unsurprisingly, a more chaotic behaviour. Music by @gpcbass! The song is called Cayenne.$

Symmetric chaos by 2^27 particles dropped inside an ellipse

Increasingly sized cubes of interacting balls dropped on flat surface

2^29 balls dropped in a strong magnetic field (and a bug?)

Extruded bronze moose demonstrates the Dzhanibekov effect

Electric field lines from oscillating charge