Epic Circles - Numberphile

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Pappus chains, circle inversion and a whole lot more in this EPIC video with Simon Pampena.

NUMBERPHILE

Videos by Brady Haran

[badwulff]

Find yourself someone who looks at you the way this guy looks at circles.

This is true love. It's beautiful.

[zymosan]

this is a 26 minute video of a man trying to find the relative radius of a circle, and he is very happy too.

[Luke]

8:35 "Gee you've got good instincts" is my favorite part of the video, the dynamic between these two is hilarious

[DarkPhaaze]

You should really ask for consent before touching tangentially.

[pablomarcelmx]

“If you kiss in real life you have to kiss in the inversion too. Exactly”

[washinours]

Funny to note that 1/95th is also the portion of this demonstration I've understood.

[Spudcore]

I can't pretend that I understand it, but I do so much enjoy this guy's enthusiasm!
He is absolutely loving it!

[Chausies]

For anyone wondering, the general formula for the area of the nth blue circle (and the nth number in the sequence) will be 1/(15+4*n*(n-1))

[charlesparadise]

I'm glad the whole thing came full circle in the end

[WilliametcCook]

Just imagine trying to solve the initial problem, and you think,
"quadratic mirrors"
and it works

[cwbeas]

Professor: "Show your work"

Me: "NO."

[mysticgeekdom]

I just love how happy Simon is the entire time, this is a man who truly loves what he does

[elibusz]

Beautifully explained. I was excited as a child when the purple cirlcles began to align! hehe.

[ElectronicTonic]

That brown paper should be framed and hung on a wall. Beautiful!

[simonkulcsar]

11:59 He said 'Circle inversion!' with the same level of happiness how Hulk said 'Time travel!'.

[FunkyHonkyCDXX]

I've watched this 4 or 5 times now, and I really feel like I understand it. I use geometry at work constantly (I make custom stairs and handrails, nothing but triangles, circles and the occasional ellipse) and the more I watch this the more I know that this doesn't help me to do with anything with my job, but I love it anyway.

[pumpjackmcgee]

This video has instilled me with the very bizarre experience of knowing exactly what you are doing whilst also having no bloody clue what the fuck you are doing.

[jparker]

The editing was really nice. I'm sure that explanation took forever in real time. Really cool stuff.

[Achill]

Beautiful construction.
I suspected the final result from the other denominators: 15, 23, 39, and 63.
From 15 to 23 is 1*8. From 23 to 39 is 2*8. From 39 to 63 is 3*8. From 63 to 95 is 4*8.
But it's worthwhile to watch him construct the inverted circles and enjoying it.

[vondarkmoor]

When you watch and listen to someone like this guy who is SO passionate about something, you cant help but become interested. I love people like this. I wish all the teachers of our children could have this kind of drive.