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3blue1brown
3blue1brown

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New video out!

I think you guys will like this a lot.  It's certainly one of my favorite pieces of math, if not the favorite.  Let me know what you think!

New video out!

Comments

So, does the surface generated by the midpoint/distance function have a name? I haven't seen it mentioned much in other resources.

Kevin McCurdy

If the quality of this video says anything about the ones to come, let's just say I am very very excited! Awesome video, keep it up

Best one yet?

This video is so amazing. 12/10. I am so excited to see more content form you

David Farrell

Great start! Beautiful video of an intriguing piece of mathematics, in a field that can be a bit dense. One of your best videos yet.

That is pure genius. Thank you for this amazing explaination

This was fantastic, I'd never seen a proof (sketch) involving topology so this was perfect (and impressive, as intended) for my level of mathematical naivety. The Vaughan proof seems to be outlined on p.71 here <a href="http://www.topo.auburn.edu/tp/reprints/v06/tp06107s.pdf" rel="nofollow noopener" target="_blank">http://www.topo.auburn.edu/tp/reprints/v06/tp06107s.pdf</a> btw.

Dan Davison

I have said this before in other platforms, but thank you. I didn't know about this clever and beautiful piece of mathematics

Ever Salazar

I believe it's H. Vaughan (1977)

3blue1brown

I'm wondering, who inveted the solution? It has to be a clever guy.

yeah, and i think outlining self intersections would be also interesting

It would be nice to end the final animation with a circular loop.

Guido Gambardella

Lovely!

Thanks, very nice video, I mostly liked the elegance of approaching the problem. By the end of the video I asked myself a question but I didn't seem to be able to answer it: what is topology?

MedNait

Woo! Glad to pitch in to this.

Joseph Cutler

Best $1 ever spent! Beautiful!


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