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Old 2021-08-04, 09:54   #30
Nick's Avatar
Dec 2012
The Netherlands

5·353 Posts

Originally Posted by jwaltos View Post
Thanks for responding Nick. Unfortunately it didn't really help me out...
Well you have a very individual perspective so any suggestions are bound to be a bit hit-and-miss!

Mathematically, quartic polynomials tend to arise from 4-dimensional spaces,
for example as the determinant of a 4x4 matrix. And a key difference between those and
3-dimensional spaces is that 4 is even - yes, it sounds trivial, but it has deeper consequences.
Calculate the volume of the unit ball in n dimensions, for example, and you will see one pattern
for the odd dimensions and another pattern for the even ones.
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