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−  ==MindMa7h==
 
−  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 ;)
 
− 
 
−  ==So:==
 
− 
 
−  *IF notrivial => 1(c(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)
 
− 
 
−  QED?
 