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It happened! I was able to get my next video out today. I actually filmed this last November when I was in the USA but have only just managed to get it finished and uploaded.

Part of why I could finally get it done was that I use spare Patreon support to get editing help. So this video is out now thanks to you!

As a sign of our thanks, Edmund has made the discount code PARKAHEDRA to give you 25% off.https://curvahedra.com/

And be sure to check out the bonus video. There is loads of fantastic maths in it.https://youtu.be/9z-k2DJ9RbA

Files

Curvahedra: how many faces make a polyhedron

Use code "STANDUPMATHS" to get 15% off Curvahedra! https://curvahedra.com/ Note that if you are a patreon supporter of mine, you can get a 25% discount. We also sell Curvahedra on Maths Gear but there is no discount. But if you're in the UK, the saving on postage might be worth it. You do the maths! https://mathsgear.co.uk/products/curvahedra Here is the bonus chat over on my second channel. https://youtu.be/9z-k2DJ9RbA Read more about the scary version of the Gauss–Bonnet theorem https://en.wikipedia.org/wiki/Gauss%E2%80%93Bonnet_theorem http://mathworld.wolfram.com/Gauss-BonnetFormula.html Edmund Harriss is on Twitter and Numberphile https://twitter.com/gelada https://www.youtube.com/watch?v=6aFcgATW9Mw Check out the Symmetry groups wrapping paper he designed for Maths Gear https://mathsgear.co.uk/products/symmetry-groups-wrapping-paper More about Bathsheba Grossman and her sculptures which inspired Edmund https://bathsheba.com/ You can see my old curvahedra in the background of this video, as well as may others. https://www.youtube.com/watch?v=4CbPksEl51Q CORRECTIONS - None yet, let me know if you spot anything! Thanks as always to Jane Street being my channel's principal sponsor. https://www.janestreet.com/ Thanks to my Patreon supporters who help make these videos possible. Here is a random subset: Alex Hackman Susan Moury Alex DeMartino Malcolm Rowe Ben White Support my channel and I can make more maths videos: https://www.patreon.com/standupmaths Filming by Matt Parker Editing by Alex Genn-Bash Music by Howard Carter Design by Simon Wright MATT PARKER: Stand-up Mathematician Website: http://standupmaths.com/ Maths book: http://wwwh.umble-pi.com Nerdy maths toys: http://mathsgear.co.uk/

Comments

Maarten Daalder

With that open structure, I wonder if you can make a klein bottle out of it...

Matt Parker

It crossed my mind! I might get some of the torus kits and try.

Maarten Daalder

If it works out okay and you can sell the requisite kits on your website then you have a buyer! Depending on the size I could embed the tiny klein bottle from Cliff Stoll I recently bought.

Louie Ruck

I thought exactly the same thing!! Might try to make some and then suspend them from the ceiling in my classroom!

Gelada

You can of course make Klein bottles and projective planes. Though I have not found a really elegant one yet.