This use of dimensionality is unfamiliar to me. When I hear "a bunch of discrete points" to me that says most likely 2 or 3 dimensions - if we're talking about cloth, probably 2 unless the cloth is really thick. But they refer to that as 0-dimensional. I'm guessing the dimensions here are referring to the... coordinate space you would use to address locations within it? And when it's just a bunch of discrete points there's no real coordinate space, not until you connect them with some sort of volume or space?