Why do all shapes lie in the Polyhedron Plane?

From Standup Mathematician.

Check out AMP or suggest it to someone who could benefit. And here is the puzzle: https://bit.ly/sum-amp

Thanks to Jane Street for sponsoring this video! https://www.janestreet.com/join-jane-street/

I’ll be doing An Evening of Unnecessary Detail at the Bristol Beacon, UK on Tuesday 12 March 2024. Come and celebrate Almost Pi Day with me! And celebrate Ages Until Tau Day with Steve Mould.
https://festivalofthespokennerd.com/tickets/
https://bristolbeacon.org/whats-on/an-evening-of-unnecessary-detail/

Here is Grant’s old, old 3blue1brown video. It’s so good. https://www.youtube.com/watch?v=-9OUyo8NFZg

Check out Ben’s GeoGebra file we used to simulate the PolyPlane: https://www.geogebra.org/m/h9gpaawf

Polyplane will be at the UCLA campus in Los Angeles, February 01 to 28, 2024. You can also still send in a polyhedron from anywhere in the world or enquire about hosting it yourself. https://polyplane.org/

Polyplane is made possible thanks to fiscal sponsorship from the Seattle Universal Math Museum. https://seattlemathmuseum.org/

Thanks to Henry Segerman for helping out as well. You should watch their awesome videos: https://www.youtube.com/@henryseg

Huge thanks to my PatreonPlane supporters. They covered the "press pass" I had to buy to access the Joint Math Meeting. I could as part of the Press, right? https://www.patreon.com/standupmaths

CORRECTIONS
– None yet, let me know if you spot anything!

Filming by Matt Parker
Editing by Alex Genn-Bash
Written and performed by Matt Parker
GeoGebra graphics and addition material by Ben Sparks
Edge complaining by Grant Sanderson
Yes they bent the rules by Henry Segerman
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

Oh look at this: https://forms.gle/hWes6BgPji3L8RfH6