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Conway Checkers (proof) - Numberphile

Numberphile2

335,504 views

Here's the proof - the main video is at: Conway Checkers - Numberphile
Featuring Zvezdelina Stankova - more videos with her at: http://bit.ly/zvezda_videos

Pebbling a chess board: Pebbling a Chessboard - Numberphile

NUMBERPHILE
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Videos by Brady Haran

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20 Comments

@ClydeHobart 6 years ago (edited)

Rest in peace, John Conway. Your math will inspire many for years to come

@nomekop777 8 years ago

"I will define what I like if it does what I want"

@IchBinKeinBaum 8 years ago

9:20 "It's a free country, I can put whatever I like in those cells." There's a political joke hiding in that sentence.

@btfx 8 years ago

Best handwriting on Numberphile so far.

@Henrix1998 8 years ago (edited)

I didn't plan to watch this all but something happened between 20:00 and 41:54 that made me lose my sense of time

@tiavor 8 years ago

I think this was one of the most complete and best explained proofs on your channels.

@TheNinjutsustudent 8 years ago

This is my new favorite movie . . .

@please.dont. 8 years ago

Watched the whole thing. Did not regret a minute.

@OMGclueless 8 years ago

It's a long proof but it's totally clear the whole way. She's amazing at explaining this stuff without oversimplifying. One of my favorite proof videos you've done.

@NoriMori1992 7 years ago

I'm amazed at how organized Zvezda is with all the equations and notes she writes! She never seems to lose track of her previous notes, or run out of space by accident!

@stoirtap12 8 years ago

4:02 Brady's so sick of the Golden Ratio constantly popping up.

@elderhickory0776 6 years ago

Who’s here from vsuace 😂

@kala_asi 8 years ago

However, if one was to make the first move in 1 second, the next one in 0.5 seconds, the third in 0.25 seconds and so on, you could get to the fifth row in 2 seconds

@rebase 8 years ago

That hole in the board really bothers me

@NathShapeless 6 years ago

Came here from Vsauce.
RIP, John Conway. :'(

@laurel5432 8 years ago

Now that's a good proof
And when your first row is below the fifth, the sum is bigger than one so you don't need infinitely many moves anymore, so you can get there
Was also quite nice to have learned something practical about the golden ratio, not like those abstract things it's supposedly doing (the things you hear in movies etc.)

@LIES666 8 years ago

Very satisfying once everything starts to come together.

@xCorvus7x 8 years ago

"There can be only one!"
A mathematical version of Highlander.

@yourlocalclosetedgaybestie3165 8 years ago

WOW!!!! I THINK THIS IS THE LONGEST VIDEO ON NUMBERPHILE2!!! I am really happy that it's by Prof Zvezdelina I really missed her. I guess I just watched a couple of videos by her but I really like her videos. Thanks Numberphile for uploading such a long video by her. You made my day a lot better :)