Question 1026571
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this formula is used to calculate the rotational angle of a pentagonal planar surface for the purpose of creating a dodecahedron using software: Blender: 
*180*acos(1/sqrt(5))/pi 
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1. The formula used to calculate the rotational angle of a regular pentagon is  {{{180*acos(1/(1+sqrt(5)))/pi}}}.

2. The formula in your post is incorrect.


3. And, surely, it is not applicable for a square.


4. You use wrong (incorrect) sources and make wrong (incorrect) conclusions.


5. All that you need is to calculate the central angle of your regular polygon.

   It is equal to  {{{2pi/n}}}  in radians or  {{{360/n}}}  in degrees, 
   where "n" is the number of sides/vertices of your regular polygon.
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