What Gear Shape Meshes With a Square?
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How do you design the perfect gear to partner with a given shape? It's tempting to think the way to do it is to treat both gears as if they're rolling on each other without slipping, but it turns out most gears by their very nature must slip as they spin. Why is that?
Playlist of Weird Wheel videos: • The Wonderful World of Weird Wheels
=Chapters=
0:00 - Wheels are not gears!
2:03 - What's wrong with wheels?
5:32 - Ground News ad
7:21 - How to design actual gears
12:07 - Envelopes
18:50 - Parametrizing an orbiting gear
22:04 - Computing the envelope
25:22 - Example gear pairs
29:05 - Resolving road-wheel clipping
30:39 - Outro
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This video was generously supported in part by these patrons on Patreon:
Marshall Harrison, Michael OConnor, Mfriend, Carlos Herrado, James Spear
If you want to support the channel, you can become a patron at
/ morphocular
Thanks for your support!
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CREDITS
The music tracks used in this video are (in order of first appearance): Rubix Cube, Checkmate, Ascending, Orient, Falling Snow
The track "Rubix Cube" comes courtesy of Audionautix.com
The animation of the moving point of contact between two gears comes from Claudio Rocchini. Original source: https://commons.wikimedia.org/wiki/Fi...
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The animations in this video were mostly made with a homemade Python library called "Morpho". It's mostly a personal project, but if you want to play with it, you can find it here:
https://github.com/morpho-matters/mor...
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