The gifs that keep on giving

My new favorite thing on the internet is math gifs.

It started with this beauty:

It makes the link between sine waves, the interior angles of triangles, and the unit circle so intuitive it’s hypnotic.

My favorite source for these is the tumblr of a physics undergraduate named Lucas who frequently uploads his creations to wikipedia:

A visualization of how Eigenvectors are transformed, yet keep their direction.

A visualization of Reimann integration, showing progressively better estimations of area under the curve.

(Also delightful, but not a math gif, is his series of videos visualizing pitch class in classical music as a spiral.)

From elsewhere:

Outtakes from the game of life.

A visualization of the tautochrone problem.

And finally, the gif a friend posted to facebook, which reminded me how much I love these:

If you know of others, please share!