The Brussels Choice - Numberphile

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Neil Sloane from the OEIS discusses the Choix de Bruxelles.

More links & stuff in full description below ↓↓↓

NUMBERPHILE

Video by Brady Haran and Pete McPartlan

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This man has gone through thousands of sequences and each one gets him excited like it's his first.

HonkeyKongLive
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4:45 - Brady - If I give you any number...
Neil - Yes...
Brady - ... can we always get to 1?
Neil. Yes. So that's a very good question, and the answer is "No".

iainh
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Fun fact: the name of this sequence is actually a pun: "Choix de Bruxelles" (Brussels Choice) is one letter away from "Choux de Bruxelles" (Brussels sprouts) in French.

Релёкс
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Sometimes I feel like mathematicians just take numbers, smash them together like action figures, then write fanfiction about said action figure smash as their academic dissertation.

mahatmagandhiful
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Find someone who loves you as much as Neil Sloane loves integer sequences. 😍

pcfilho
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In case anyone is wondering why numbers ending in 00 or 50 are connected to 10:

100 -> 50 -> 25 -> 45 -> 90 -> 180 -> 280 -> 560 -> 1120 -> 160 -> 80 -> 40 -> 20 -> 10

jellomochas
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4:47 Brady: *Asks yes or no question*
Brussels Boi: "Yes! ...the answer is no."

Jop_pop
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"Other numbers are available" nice one Brady

timtamshortage
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Sloane Incompleteness Theorem: There are sequences we may never know, and he's still gonna be excited about it.

jamirimaj
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That is a daunting stack of paper in the background...

TheDhammaHub
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Fascinating episode. Please, please make more of these videos with strange iterative rules that lead to amazing patterns. They are amazing to watch and this one actually struck a chord with me :)

tryAGAIN
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I am very scared for that laptop in the right at 2:56

kaifqais
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Although a little less interesting in binary, doing this in other bases leads to some new stuff (and all of it is as useful as lunar arithmetic).

youtubersingingmoments
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"Choix de Brussels" is a pun on "Choux de Bruxelles (brussels sprouts)" BTW...Nicely done!

ericmarseille
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Neil is a treasure. I just love his enthusiasm.

vidaroni
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This is a really nice operation. The iterative process reminds of Collatz' sequences, but instead we have 1) more choices, 2) much more can be proved about the sequence.

movaxh
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When I first saw the title, I thought this was going to be a throwback to the Brussel Sprouts game.

Great video, I was very happy to see Neil

whydontiknowthat
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Seeing Neil speaking so passionately always cheers me up :)

latefoolstalk
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4:58 *Other numbers are available.

Thanks for clearing that up. Got a bit confused there for a second.

GUIHTD
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This guy is precious. Favorite numberphile

edghe