How to rotate a list of imaginary points

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?

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 rotation you want in radiants.

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)

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

this is helpful, thank you

What are you programming? Sunflower seeds?

something with this: Complex Numbers

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.

this was weirdly hypnotizing