logoalt Hacker News

Notes on the Complex Roots of Unity

31 points • by sks_15 • today at 4:49 AM • 7 comments • view on HN

Comments

lopotubez • today at 8:34 AM

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.

glaze • today at 11:37 AM

Reading the title, I thought this was going to be about the origins of the Unity game engine.

chacha-bong • today at 7:15 AM

Reading this made me feel like I am in highschool again

➕ show 1 reply