video thumbnail 22:57
The impossible puzzle with over a million solutions!

2025-08-28

[public] 109K views, 7.75K likes, dislikes audio only

channel thumbStand-up Maths
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See if you have the skills to dissect this neural net: https://jane-st.co/SUM-MLpuzzle

More on Jane Street machine learning careers here: https://janestreet.com/ml

This is a complex video, so I'll try to thank and link everyone in order!

Original Numberphile video from 2015 by Brady Haran: /youtube/video/99stb2mzspI

More on the Partridge Puzzle by Robert T. Wainwright. https://www.mathpuzzle.com/partridge.html

My acrylic version of the puzzle made by Lisa Mather of https://qwirkshop.co.uk/

Thanks to everyone at Murrayfield Indoor Sports Club who let us film and set up 45-pin bowling. They were extremely good sports. https://www.murrayfieldindoorsportsclub.co.uk/

Out of the Blue is Oxford's internationally acclaimed a cappella group and total legends who arranged and recorded Nine Cube of Squaremas for me. Specific thanks to Ben Reddy who lined it up. https://www.ootboxford.com/

Pete McPartlan did the animations on the 2015 Numberphile video and stepped in to reprise the role on this video.

I know Jane Street are sponsoring this video, but this is a separate shout-out to thank them for making the puzzle and inviting me to drop by the office to play with it. They're good people.

Thanks to Bec Hill for wasting vast amounts of her time trying to solve the puzzle without computer aid. https://www.bechillcomedian.com/ We also do a podcast together: https://open.spotify.com/show/7Hp5QDk9PsWyEXtcsDz34a

Here is the interactive version that Matt Scroggs made: https://www.mscroggs.co.uk/squares/ Scroggs also put together the code we used to count all 1,730,280 solutions.

Yes, I was at the Edinburgh Festival Fringe for all of August doing 26 shows. Which is why this video took a while to finish. Come see me on tour! https://standupmaths.com/shows/

Huge thanks to my Patreon supporters. Insert a witty joke about their support here. https://www.patreon.com/standupmaths

CORRECTIONS

- None yet, let me know if you spot anything!

Filming by Matt Parker, Nicole Jacobus, Ayliean MacDonald, Lucie Green, Alex Genn-Bash and the Jane Street video department.

Editing by Gus Melton

Animations by Pete McPartlan

Additional animations by Gus Melton

All hats by Ayliean MacDonald

Written and performed by Matt Parker

Produced by Nicole Jacobus and Ayliean MacDonald

Music by Howard Carter and Out Of The Blue

Design by Simon Wright and Adam Robinson

Keeping track of all these names by Matt Parker

MATT PARKER: Stand-up Mathematician

Website: http://standupmaths.com/


Stand-up Maths I do mathematics and stand-up. Sometimes simultaneously. Occasionally while being filmed. (It's quite the Venn diagram.) You can send business stuff to sophieclaire@miradorgroup.co.uk and maths to matt@standupmaths.com (but everything gets to me one way or another). I'm also in these places: http://standupmaths.com http://twitter.com/standupmaths https://m.bilibili.com/space/475271755
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