Are odd-numbered mobius-loop cogs possible?

From Standup Mathematician.

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Here is the reddit post I first saw:

“I designed an Intertwined Mobius strip of Gears. 60parts, 285 balls”
https://www.reddit.com/r/3Dprinting/comments/blmqbd/i_designed_an_intertwined_mobius_strip_of_gears/

Just the gif:
https://i.redd.it/wi38hd95ebb11.gif

These are the lectures I mention:

What Happens When Maths Goes Wrong? – with Matt Parker
https://youtu.be/6JwEYamjXpA?t=290

Matt Parker: “The Greatest Maths Mistakes” | Talks at Google
https://youtu.be/34detVy-Hiw?t=391

This is my previous video with Sabetta:

Exploring Hyperbolic Space with VR (and crochet)
https://www.youtube.com/watch?v=MTfviv_aZYI

And check out Henry’s crazy gears:

Three Gears are Possible – Numberphile
https://www.youtube.com/watch?v=5Mf0JpTI_gg

CORRECTIONS
– When I read the poster I say that education works best when all the parts are “moving” instead of “working”. The first person to complain about this was Steven Brace.
– Let me know if you spot anything else!

Thanks as always for Jane Street being my principal sponsor.
https://www.janestreet.com/

Thanks to my Patreon supporters who help make these videos possible. Here is a random subset:

Andy
Fernando Gaete Ferrari
Daniel Brockwell
Matt Langford
Markus Herrmann
Erin Eldridge

Support my channel and I can make more maths videos:
https://www.patreon.com/standupmaths

Music by Howard Carter
Filming and editing by Matt Parker
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/