For a school project, I'm investigating the brachistochrone curve. As part of this, I want to make a 3D simulation of an object falling down a cycloid, but I'm not sure how I would actually go about making the cycloid?
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scratch342
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Another way (though @MartyFotus has a more correct approach) is to use dynamic paint. With this, you can actually 'track' the point on the circle as it moves. – CoolCoder Aug 18 '21 at 09:39
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Somewhat related https://blender.stackexchange.com/questions/165190/how-to-do-trammel-of-archimedes-animation – batFINGER Aug 18 '21 at 15:04
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You can enable the Add Mesh: Extra Objects add-on in your preferences.
This will allow you to add a Mesh -> Math Function -> X, Y, Z Surface.
You can then go to the Last Operation options panel and enter the necessary equations:
By playing with U min and U Max you can generate more or less of the cycloid.
If you want just the curve, then set Z to 0 rather than v. Here's the curve for two "humps"
Marty Fouts
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