When you have a list of complex points that you have not defined yourself such as (.1+.1i)^[1…10], is there a way to rotate said points?

here: https://www.desmos.com/calculator/bmqktsfpnx

rotation in complex numbers is just multiplication … if you want to rotate by 90° degrees you multiply times i and in general if you want to rotate by alpha degrees (in radiants) you multiply times e^(i*alpha). So in your situation: e^(alpha*i) * (.1+.1i)^[1…10] where alpha is the angle or rot…

what about around a certain point?

if you want to rotate the complex number c around point p of angle alpha you just do this: p + e^(alpha i) * (c-p)

What are you programming? Sunflower seeds?

you made me think about this possibility: https://www.desmos.com/calculator/e7960b66ae

That was too much! LOL I had to slow the sliders down to 0.2x. That’s cool.

How to rotate a list of imaginary points

Questions

port (Thomas) May 29, 2026, 2:37pm 8

something with this: Complex Numbers

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How to rotate a list of imaginary points

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