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"

Just the gif:

Thanks to ElminsCosplay for making the cogs for me! Check out their other stuff.

If you really want to, you can buy my book:

These are the lectures I mention:

What Happens When Maths Goes Wrong? – with Matt Parker

Matt Parker: "The Greatest Maths Mistakes" | Talks at Google

This is my previous video with Sabetta:

Exploring Hyperbolic Space with VR (and crochet)

And check out Henry’s crazy gears:

Three Gears are Possible – Numberphile

– 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.

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

Fernando Gaete Ferrari
Daniel Brockwell
Matt Langford
Markus Herrmann
Erin Eldridge

Support my channel and I can make more maths videos:

Music by Howard Carter
Filming and editing by Matt Parker
Design by Simon Wright

MATT PARKER: Stand-up Mathematician
Maths book:
Nerdy maths toys: