The shape that should be impossible.

2024-06-05

[public] 267K views, 17.6K likes, dislikes audio only

Get your Sydler-shape limited-edition dust jacket now! https://mathsgear.co.uk/products/love-triangle-by-matt-parker-signed

Here is the bonus video with all the details: https://youtu.be/cB18rgH5YaM

See some of you at the Copenhagen Developers Festival, 28 August 2024

https://cphdevfest.com/

Thanks so much to Paul Catherall who made these beautiful prints. https://www.paulcatherall.com

If you order Love Triangle on Waterstones you will not get the dust jacket but you can use the use the discount code 1+2+3+4+5+6=21 to get 21 percent off the already discounted price. https://www.waterstones.com/book/love-triangle/matt-parker/9780241505694

All UK options: https://www.penguin.co.uk/books/443151/love-triangle-by-parker-matt/9780241505694

All USA options: https://bit.ly/3wCTesR

Matthias Goerner's page about Sydler's shape: https://www.unhyperbolic.org/sydler.html

Or see the 3D model directly here: https://sketchfab.com/3d-models/sydler-pi4-polyhedron-final-70cf6dda7f6545dcb827bcec87fb526b

Henry Segerman's video: https://www.youtube.com/watch?v=tH6vLXMaCwQ&ab_channel=HenrySegerman

Robin's 15° shape: https://sketchfab.com/3d-models/single-angle-15-coloured-8230e145f97c4daba4cfbaf317f0a55b

CONJECTURE DISCLAIMER:

We believe that the "there must exist a single-angle polyhedron for any angle θ with an algebraic sine" conjecture is true but don't have a nice proof. There seem to be all the required parts for the proof in papers by Sydler and Jessen, but it's not fully assembled.

Huge thanks to my Patreon supporters. They keep me orthogonal. https://www.patreon.com/standupmaths

CORRECTIONS

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

Filming and editing by Alex Genn-Bash

Written and performed by Matt Parker

Produced by Nicole Jacobus

Music by Howard Carter

Design by Simon Wright and Adam Robinson

MATT PARKER: Stand-up Mathematician

Website: http://standupmaths.com/

US book: https://www.penguinrandomhouse.com/books/610964/humble-pi-by-matt-parker/

UK book: https://mathsgear.co.uk/collections/books/products/humble-pi-signed-paperback

Stand-up Maths I do mathematics and stand-up. Sometimes simultaneously. Occasionally while being filmed. (It's quite the Venn diagram.) Principle channel supporter: Jane Street https://www.janestreet.com/ http://standupmaths.com http://twitter.com/standupmaths https://m.bilibili.com/space/475271755
/youtube/channel/UCSju5G2aFaWMqn-_0YBtq5A

Making a dust jacket from an art print of a weird maths shape 5,836 views
youtube.com/watch?v=cB18rgH5YaM

Love Triangle by Matt Parker (signed) mathsgear.co.uk
https://mathsgear.co.uk/products/love-triangle-by-matt-parker-signed