Function for exponenting complex numbers

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#1 
function exp(a, b, c, d)
	local r = math.sqrt(a^2+b^2)
	local theta = math.acos(a/r)
	local e = math.exp(1)
	local sin, cos = math.sin, math.cos
	local dlnr = d*math.log(r)
	local rcedTheta = r^c*e^(-d*theta)
	return {rcedTheta*(cos(c*theta)*cos(dlnr)-sin(c*theta)*sin(dlnr)), rcedTheta*(cos(c*theta)*sin(dlnr)+sin(c*theta)*cos(dlnr))}
end

Format: (a+bi)^(c+di)

#2

What is this algorithm used for?

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#3

exponenting complex/imaginary numbers

#4

This is cool but why do we need complex number exponentiations in roblox lol

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#5

Fractals ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

#6

Would you be able to demonstrate the use of this algorithm with EditableImages, or some sort of image visualizer? It would be cool!

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#7

This is just a primitive mathematical function, he would need much more work in order to visualize fractals in roblox

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#8

I already made the mandelbrot set