What Gear Shape Meshes With a Square?

Video Description

Stay informed and get the full picture on every story by subscribing through the link https://ground.news/morphocular to get 40% off unlimited access with the Vantage subscription which is only $5/month. 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: https://www.youtube.com/playlist?list=PLBVP28tRh1pXjZxJzZ2poJf5OhETqSksI =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 =============================== 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 https://www.patreon.com/morphocular Thanks for your support! =============================== 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/File:Involute_wheel.gif =============================== 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/morpholib