Free-Floating Vertices

Hello, I

Why do you need them?

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This is just how maya works. You cannot just have points in space with maya. Only way to keep track of points in space is to put a dummy node(locator) in the same spot.

No but you can creae particles that would be almost the same. Do this:

make the object in question a softbody.

duplicate the particle object and then delete the softbody. (or rearanging the structure and deleetng the box should work fine too).