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  • Reading the title, I thought this was going to be about the origins of the Unity game engine.
  • Reading this made me feel like I am in highschool again
  • So the solutions to the n'th roots of unity of the form z^n = 1 are n-gons on the unit circle. This means for an arbitrary w in the complex field z^n = w gives solutions on a circle with radius n'th root of modulus w and are 2*pi/n apart so it is also an n-gon.

    Pretty fun stuff to plot around using Geogebra to give a geometric intuition how the complex numbers behave.

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