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jzhanson

I didn't quite understand why choosing a length along our spiral, then choosing based on the width at that point on the spiral where to locate our point would not give uniformly random points on the spiral...would it be a similar reasoning to the circle where the thicker parts on the spiral would have less dense randomly generated points while the thinner parts of the spiral would have more dense randomly generated points?

If we did want to generate random points along the spiral, would we have to use some equation for the thickness of the spiral versus its length or its area to change our random variables like we did with the circle?