### Newton's Garden

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#### gannjondal

• Fractal Fanatic
• Posts: 20

#### Newton's Garden

« on: April 09, 2018, 10:23:33 PM »
Newton's Garden

https://fractalforums.org/index.php?action=gallery;sa=view;id=649

More illustrations regarding simple hybrids of the recently introduced 3D Newton JIT formula for MB3D.
You can find all params, and the formula attached to the first entry of the thread:  https://fractalforums.org/fractal-mathematics-and-new-theories/28/revisiting-the-3d-newton/1026/msg5393#msg5393
I leave the picture here in overall 3D category because the idea of the thread was to provide one idea to have a useful 3D Newton - independent from the fractal software.

• 3f
• Posts: 1512

#### Re: Newton's Garden

« Reply #1 on: April 10, 2018, 02:02:53 AM »
nice work!

#### mclarekin

• Fractal Freak
• Posts: 652

#### Re: Newton's Garden

« Reply #2 on: April 10, 2018, 11:38:59 AM »
Images are great. Had a  quick look at the code (just enough to confuse me ), the bailout concepts look very interesting. Cool work!!

#### gannjondal

• Fractal Fanatic
• Posts: 20

#### Re: Newton's Garden

« Reply #3 on: April 17, 2018, 10:24:13 PM »
Images are great. Had a  quick look at the code (just enough to confuse me ), the bailout concepts look very interesting. Cool work!!

Thank you !

Although ... "bailout concepts" is too kind ;-)
It's simply a hack to get something within the very narrow possibilities of M3D's JIT.
And this 'hackieness' should be the only point that may be confusing for you ;-)

With more freedom in programming I would probably try what has been quite successful in 2D:
Observe the divergence of 1/|(t(n)-t(n-1))| , and then use the same DE methods as for the normal polynomial (Mandelbrot / -bulb) type of fractals.
Maybe with a larger DE stop than usual to really see something.

nice work!

Thank you!!
« Last Edit: April 17, 2018, 11:33:20 PM by gannjondal »

#### spain2points

• Fractal Fruit Salad
• Posts: 64

#### Re: Newton's Garden

« Reply #4 on: April 17, 2018, 11:22:45 PM »
love the first

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