gill1109 wrote:You can look at S^3 from the point of view of the Hopf fibration but this does not lead to any new, different, notion of uniform distribution.
https://en.wikipedia.org/wiki/Hopf_fibration
I think that is probably not true and we know it is not true since I was able to get s_0 going from 0 to pi from the mapping formula. That is new! It is not necessarily the Hopf fibration but Niles Johnson's mapping formula that was constructed from quaternions.
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