I must have done at least a dozen takes of this video...there are a lot of ideas I wanted to cram in here and kind of sketch out the line of thinking that led me to each of the conclusions outlined here, but it's hard to do that inside of ten minutes. Ultimately if this doesn't make sense, let me know which parts specifically and I'll do my best to clarify in later videos.

This is a follow-up to my hybrid theory video of a couple weeks ago. In it, I'd concluded that hybrids were shapes that allowed for multiple combinations of timing and direction, but after a couple flaws in this theory had been pointed out by others and I realized that timing and direction weren't limited to the four major ones I listed, I went back to the drawing board and this is what came out. Basically, I believe that there are two primary forms of symmetry at work in poi spinning: radial and axial symmetry. All "timings" are phases of difference either of radial spacing between the two moving objects or the angle of the axis they're symmetrical across. Viewed in this context, I believe that hybrids are composite shapes (that is shapes, created by the superimposition of the shape created by each hand) that are neither axially nor radially symmetric.

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techblog58.mp4