Uploaded August 2024 | Updated September 2026, 2 weeks ago

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Love Triangle sweepstakes are open until Monday August 19th: sites.prh.com/love-triangle-sweepstakes

Details on where you can pre-order/buy Love Triangle: bit.ly/3wCTesR
Or if you just want it from Amazon, this is my affiliate link: amzn.to/4fy30Ph

For people in Europe, signed UK copies are still available on Maths Gear: mathsgear.co.uk/products/love-triangle-by-matt-parker-signed

“Search For Largest Polyhedra” by Donald Grace
ams.org/journals/mcom/1963-17-082/S0025-5718-63-99183-X/S0025-5718-63-99183-X.pdf

Thanks to Bill Hedges at Cosmic Films Studio in Nebraska, USA for having us to film our sci-fi adventure. Check out Bill’s Cosmic Cat series: youtube.com/@williamhedges1519

Thanks to Laura Taalman for 3D printing the fantastic shapes for me. She's a Professor of Mathematics at James Madison University. mathgrrl.com

Thanks to Roger Antonsen, for testing the local maxima of the Grace shape for this video. Roger sadly passed away earlier this year. His department at the University of Oslo have published a memorial page to celebrate him: https://www.mn.uio.no/ifi/personer/minneside.html

Geogebra model of the Grace's Shape made by Sam Hartburn.

Much appreciation to Donald's children who talked to me about late nights spent with their father watching a computer crunch away at some math.

Huge thanks to my Patreon supporters. I could maximise the occupancy of a unit sphere with my gratitude. patreon.com/standupmaths

CORRECTIONS
- 00:23 I say "August 22" which is wrong: this Tuesday is August 20. Please don't tell my publishers I got that wrong.
- At 16:50 I say "eight times" which is completely wrong and not part of the formula. No idea what was going on there. The onscreen value (and everything else I say) is correct.
- Let me know if you spot anything else!

Filming and editing by Alex Genn-Bash
Additional footage by Bill Hedges
Written and performed by Matt Parker
Voiceover by Gemma Arrowsmith
Produced by Nicole Jacobus
Music by Howard Carter
Design by Simon Wright and Adam Robinson
On-set entertainment by Cosmic Cat (and kittens)

MATT PARKER: Stand-up Mathematician
Website: standupmaths.com