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The Beauty of Roots (2011)

math.ucr.edu

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Re: The Beauty of Roots (2011)

#2
The title is not very accurate. The article mostly talks about roots of polynomials in the field of complex numbers and shows some beautiful fractal images derived from the roots.

Re: The Beauty of Roots (2011)

#3
post #2

The title is not very accurate. The article mostly talks about roots of polynomials in the field of complex numbers and shows some beautiful fractal images derived from the roots.

Plotting the roots is about as reasonable of a way to talk about what a polynomial "looks like" as any.

Re: The Beauty of Roots (2011)

#4
post #2

The title is not very accurate. The article mostly talks about roots of polynomials in the field of complex numbers and shows some beautiful fractal images derived from the roots.

You are right and the problem is that the HN rule to keep the original title was not followed. The title is "The Beauty of Roots".

Re: The Beauty of Roots (2011)

#5
post #4
post #2

The title is not very accurate. The article mostly talks about roots of polynomials in the field of complex numbers and shows some beautiful fractal images derived from the roots.

You are right and the problem is that the HN rule to keep the original title was not followed. The title is "The Beauty of Roots".

This is why I favour original titles with editorialised sub-titles. You could even allow the user to choose which to show if you feared that having a sub-title would make for too much clutter.

Re: The Beauty of Roots (2011)

#7
post #4
post #2

The title is not very accurate. The article mostly talks about roots of polynomials in the field of complex numbers and shows some beautiful fractal images derived from the roots.

You are right and the problem is that the HN rule to keep the original title was not followed. The title is "The Beauty of Roots".

That's right, we just changed the submission title to the original from “What do polynomials really look like?”.

Re: The Beauty of Roots (2011)

#10
post #2

The title is not very accurate. The article mostly talks about roots of polynomials in the field of complex numbers and shows some beautiful fractal images derived from the roots.

And a really interesting explanation about why roots inside the unit circle seems to land on the dragon curve!
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