Superpermutations: the maths problem solved by 4chan

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Published 2019-01-28
Join in the Superpermutation effort! The best place to start is the google group:
groups.google.com/forum/#!forum/superpermutators

This is where Robin Houston does his real job: Flourish Data Visualisation
flourish.studio/

James Grime's video: Superpermutations - Numberphile
   • Superpermutations - Numberphile  

A lower bound on the length of the shortest superpattern
Anonymous 4chan Poster, Robin Houston, Jay Pantone, and Vince Vatter
oeis.org/A180632/a180632.pdf

"The Haruhi Problem"
More formally, "what is the shortest string containing all permutations of a set of n elements?"
mathsci.wikia.com/wiki/The_Haruhi_Problem

Archived 4chan post. If you don't know what 4chan is: click with caution.
warosu.org/sci/thread/S3751105#p3751197

Nathaniel Johnston: "The Minimal Superpermutation Problem"
www.njohnston.ca/2013/04/the-minimal-superpermutat…

Superpermutations by Greg Egan
www.gregegan.net/SCIENCE/Superpermutations/Superpe…

Robin's tweet:
"A curious situation. The best known lower bound for the minimal length of superpermutations was proved by an anonymous user of a wiki mainly devoted to anime."
twitter.com/robinhouston/status/105463789108591820…

LKH: Lin-Kernighan heuristic for solving the traveling salesman problem
akira.ruc.dk/~keld/research/LKH/

CORRECTIONS
- Not yet. Let me know if you spot anything!

Thanks to my Patreon supports who do support these videos and make them possible. Here is a random subset:

Lucie
Thomas Hodnemyr
Euler
Jordan Scales
Håkan Johansson

Support my channel and I can make more maths videos:
www.patreon.com/standupmaths

Music by Howard Carter
Filming and editing by Trunkman Productions
Design by Simon Wright

MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
Maths book: wwwh.umble-pi.com/
Nerdy maths toys: mathsgear.co.uk/

All Comments (21)
  • @RobinHouston
    Hello. It’s me, the hairy man in the video. Sadly I don’t have much progress to report since this was filmed at the end of October. I managed to improve the 4chan lower bound by one, but I think it’s fair to say we’re pretty stuck again after a period of rapid progress and wild optimism. We still haven’t been able to bring the upper bound down by one, but I still reckon it should be possible. I’m hoping someone here will have some good ideas!
  • @Andoxico
    I'd just like to point out that Anon did the maths because he wanted to know the fastest possible way to watch an anime if you wanted to watch every episode in every possible order.
  • @alexkennedy4990
    So, what you're saying is, we can solve all the world's problems by rephrasing them so they're related to anime and posting them to 4chan.
  • @nashbellow5430
    please change "anonymous 4 Chan user" to on the paper "Anon" and write the paper as a green text
  • @wiseye61
    the mathematician known as 4chan
  • @Halosty45
    The feeling you get as a serious mathematician when you include "anonymous 4chan poster" on a paper you're writing must be something special.
  • @server642
    Greg Egan could be shortened to Gregan as that contains both Greg and Egan
  • @styromaniac6967
    4chan has some very sharp math geeks. I've discussed the 2D pyramid formula and they immediately provided a simpler version of what I had.
  • Gives Anonymous 4chan poster credit in a mathematical paper Ah... I see you're a man of culture as well.
  • @_ten
    "So... i've also brought some F's!" "Please stop"
  • Really goes to show the importance of being able to freely share information across the globe.
  • @Souvik_Dutta
    For anyone wondering why the proof appeared on an anime wiki of all places: "The Melancholy of Haruhi Suzumiya" is an anime which has multiple orders in which it can be watched (the main two are broadcast order and chronological order). This question is a joke asking how many episodes you would need to watch in order to see every possible watch order. #copied from a reddit post comment
  • People on 4chan be out there schooling mathematicians, meanwhile on Facebook people argue over 2+2(6-1)
  • @Cyranek
    thank the lord for that fix at 12:10, was driving me crazy
  • @chessthecat
    This is legit fascinating. I got chills when Robin said "an anonymous poster gave a solution that was better than anything in the literature." Amazing.
  • @damienw4958
    Phew, that arrow got fixed! Almost had to make a comment about that Parker Arrow. Oh, wait...
  • @nullanon5716
    Imagine being so self confident you do something amazing and post it anonymously because you don’t care
  • @lucadivine3862
    There's an important lesson here: if you wanna get people interested in math, you just need to show them how it applies to stuff they already care about. (Oh, and if you wanna motivate people, anime girls will do the trick. That's another lesson to take away here.)
  • @storyxx
    Plot twist: He is actually writing on a TV screen.