Revision as of 01:08, 13 September 2019 by Andrej.westermann (Talk | contribs) (Quaternion Path)

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A polar sphere can be defined with

  • radius
  • angle x
  • angle y

This results in a double cover etc. Buuuuut... the cool thing of course is in algebra, its (not)counting. But its algebra. thats cool enough anyway ;)


  • IF r(a)+(b) <= this ismt wrong
  • THEN you get two interpretations that inherently reduce by euler etc. see above. its an elegant circular argument, blabla etc.
  • So, according to the universe, probably as to our limited understanding of that space, there is a reason for

1. zero, plus & minus & infinite geometries 2. because any complete path on unity sphere is global and without inversion no reduction. plots in 3d as a quaternion(path)