How many ways can you join regular pentagons?

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

Curved-Crease Sculptures by Erik Demaine and Martin Demaine
https://erikdemaine.org/curved/

The original paper: "A Complete List of All Convex Polyhedra Made by Gluing Regular Pentagons" https://arxiv.org/abs/2007.01753

Get your hexagon equivalent here: https://arxiv.org/abs/2002.02052

Cookie. Clicker. Like that video is going to happen.
https://arxiv.org/abs/1808.07540

Huge thanks to my Patreon supporters. They keep all my polyhedra convex.   / 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/bo...
UK book: https://mathsgear.co.uk/collections/b...