Hello all! I'm new to this, getting deeper into UF and enjoying it immensely!

I've been scouring around trying to find a particular orbit trap, wondering if anyone here recognizes it. Looks a bit to me like foam bubbles...
66294dd5cc2b4.jpg
66294dd5f2a1e.jpg

Any help or direction would be appreciated!

Hello all! I'm new to this, getting deeper into UF and enjoying it immensely! I've been scouring around trying to find a particular orbit trap, wondering if anyone here recognizes it. Looks a bit to me like foam bubbles... ![66294dd5cc2b4.jpg](serve/attachment&path=66294dd5cc2b4.jpg) ![66294dd5f2a1e.jpg](serve/attachment&path=66294dd5f2a1e.jpg) Any help or direction would be appreciated!
edited Apr 24 at 7:27 pm
 
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Looks to me like a formula from Newton with a mandelbrot inside, not like a coloring algo.
Best search in the formula collection in ufm for a Newton variant. I have seen shapes like this.

Looks to me like a formula from Newton with a mandelbrot inside, not like a coloring algo. Best search in the formula collection in ufm for a Newton variant. I have seen shapes like this.
 
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Ah, ok. I follow you, and visually that makes sense. I will search formulas. Thank you!

Ah, ok. I follow you, and visually that makes sense. I will search formulas. Thank you!
 
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Update; searched ufm formulas for several hours, haven't been able to locate any formula that looks like this. Also tried to locate contact info for the two pics I posted, but no luck there either.

If anyone else recognizes or finds this pattern, please post.

Thanks!

Update; searched ufm formulas for several hours, haven't been able to locate any formula that looks like this. Also tried to locate contact info for the two pics I posted, but no luck there either. If anyone else recognizes or finds this pattern, please post. Thanks!
 
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I found a few old parameters with similar shapes. There's Frame Robert Roots-Mandel:

663a507e6aa94.png

frameRobertRoots-mandel02 {
; © 2000 Morgen Bell
::Wupixhn2tTZTvtNOQY47Gw/HI0pdPYb+l+qFEYxmu9UbP0etAGMSU2cjEpKJVSd/13hUyOOo
7C0imjB+gJfFnZe5wHyOnsJI7f16VIUQH6VisOncQhc2bVuA8nN43MINtqeEmmheQ3GOKYUM
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pSECnGjO3OZa/jv9nXwf4Q/WYlxtcCvQf+vQDaTMID0VSFHG3JbE0dRGHKdrdIy8G7cSmVOf
NYXcT2bP4Vq201iuUi6mMNCw/mwPBiTYlLoW8p2EYiXEIlVXh2cOPB7LYc15bEF1FMa+zIG/
Dva/C0+cBttD/7TgWY+mPlOquxauP+gxCsOafI1V5EOlwyLo7ei1oVPOjGda8B4WdKDR86Mx
buoE56pWYM5/nJnRF+53Hr450KSxZYkTvojzhfnfBmX+4TwcOFOKJ/Ss43hKhfbr
}

Cayley Mandel:

663a50d559e91.png

greenPorousBits {
; ©2001 Morgen Bell
::BuVmKhn2tbZzOutNQA47GwvDC6agt5QJKLlCeIZbu1fOs7dDaJKb2IRqQStbce67QKpNeRy2
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H/lTcsMUBlXbczjXIQxvlWz5LoZxXHZpXTzPF0BI7pQ7SH7SYWP57Cj/TIwT/CA=
}

and Rational Newton Mandelbrot:

663a5110386b8.png

windows2 {
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H+/CsLrYfA==
}

...plus the respective Julia versions of each. I'm sure there are others, too. Good luck!

I found a few old parameters with similar shapes. There's Frame Robert Roots-Mandel: ![663a507e6aa94.png](serve/attachment&path=663a507e6aa94.png) frameRobertRoots-mandel02 { ; © 2000 Morgen Bell ::Wupixhn2tTZTvtNOQY47Gw/HI0pdPYb+l+qFEYxmu9UbP0etAGMSU2cjEpKJVSd/13hUyOOo 7C0imjB+gJfFnZe5wHyOnsJI7f16VIUQH6VisOncQhc2bVuA8nN43MINtqeEmmheQ3GOKYUM 6oSf4YQQ5YUv8ky5FsYWcKvtfKotGRJF14Ut6gXk9er7gyg+bVf/rJ4dsdUMGnteVK0U5bkj poyeXUCRyQ2RZjOcSQwY0gCifw2qE27VOIKQJc02KGm6D6Rp3ve1gccUbOMnNlJocCy2CCnh LJEeZNmnXQy3h3iBTT50ycWRZBFXhrLjxMIPYE0K82yaSZNruuomRYIp5A0XK3WhL4YONGJO vsikveVn1B1X+q5o/qOVScNGNqcNHVN3JsddoOdvyANVRmTd72puhs46BD6OJyebsd/xU3+j pm97TN7M04eYj6jdEyWIh7vVq7tTBB5f2UEjfcv2oDCwt7wrXpNedra+c0JN+OwJGrRteFEz P+pmJogQ5uybDhtTNQdX81QYjXbUZzlqxadtibkugyrlGQBS14+0ByN9WvyHSrq36EvR7DST jCE83pHF45U41fTBulADBshE3SHlgQecnuIc/sQ3+ODR0Y9pR04ojxkEnxESwXrXdwJb1gXT 7L/AsXOKOp8AxGkJOaDhg0Qr8rCMa2YESeNjSyXkZVJQ5ynwsc6ynqJL6FMSVRV1iMldWnUS 4gO0dnZ0rdhxepunJYae+/Jq/B1DoZcn+IuXwui2ltw9HYtvg7/O4u/LurR9+7GeCrfQO59Z 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I'm sure there are others, too. Good luck!
 
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Cayley mandel
Cubic roots mandel
Inkenaga roots mandel
Newton Mandel degree 4 and 3 and k

And other Newton variants with c pixel in the formula.

But i not remember in witch ufm.

Cayley mandel Cubic roots mandel Inkenaga roots mandel Newton Mandel degree 4 and 3 and k And other Newton variants with c pixel in the formula. But i not remember in witch ufm.
 
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Bingo!!! Cayley Mandel is the formula I was looking for! Thank you so much, @mrvelocipede and @Tester37 !

Bingo!!! Cayley Mandel is the formula I was looking for! Thank you so much, @mrvelocipede and @Tester37 !
edited May 8 at 12:20 am
 
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For the rookies like me out there, these matching formulas are the main formula of the fractal. I was making the mistake of trying to apply an Outside formula onto a Mandelbrot set since I had already found such a precise match at the top level of Mandelbrot to the piece I was looking at.

663bed7511319.jpg

663beab23fb46.jpg

Thanks again for the guidance!

For the rookies like me out there, these matching formulas are the main formula of the fractal. I was making the mistake of trying to apply an Outside formula onto a Mandelbrot set since I had already found such a precise match at the top level of Mandelbrot to the piece I was looking at. ![663bed7511319.jpg](serve/attachment&path=663bed7511319.jpg) ![663beab23fb46.jpg](serve/attachment&path=663beab23fb46.jpg) Thanks again for the guidance!
edited May 8 at 10:24 pm
 
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It could also be a normal Newton set for a polynomial where some points never converge to a solution. The zones that don't converge have the shape of a MB set.663cb460cbb2d.png

//edit: Acutally, this is the result you get when you fix 3 coefficients in place and vary the 4th one over the complex plane, so it's a bit more involved than just a normal Newton. There's a fantastic video by 3Blue1Brows on this on holomorphic dynamics.

It could also be a normal Newton set for a polynomial where some points never converge to a solution. The zones that don't converge have the shape of a MB set.![663cb460cbb2d.png](serve/attachment&path=663cb460cbb2d.png) //edit: Acutally, this is the result you get when you fix 3 coefficients in place and vary the 4th one over the complex plane, so it's a bit more involved than just a normal Newton. There's a fantastic video by 3Blue1Brows on this on holomorphic dynamics.
edited May 9 at 7:03 pm
 
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