generalized mandelbrot set but in desmos

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  1. The Fractalistic
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now that i've seen it like this, it looks like a flower blooming!

bensfractals
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t(z) = arctan(z.y, z.x)
r(z) = sqrt(z.x^2 + z.y^2)
f(z) = r(z)^n(cos(t(z)*n), sin(t(z)*n)) + (x, y)
r(f((x, y))) = 2
n = slider value
Took me a while to figure this out based on The Fractalistic's reply.
Edit Log
r^n -> r(z)^n

asheep
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This Is Not The Mandelbrot This Is The Fricking Lambda ☠️

Durple
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ooo, I did it differently and found some extra stuff around the edges with my parameterization which I didn't expect, but this is awesome too!

codatheseus
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It's weird to see that plotting the generalized Mandelbrot Set on Desmos Graphing Calculator needs trigonometry functions.

vincentlau
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Link to the graph instead of the formula!

PDLD_official
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give me the link to it to gift you some comedy

djehaomar
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1 is circle
2 is mandelbrot set
3 is idk

Crystal-omlz
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Can anyone explain me why everyone is just talking so much about fractals?

What's the reason to upload so many videos on fractals?

Why?

blissentity
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