### (Kalles Fraktaler) 3rd Order Evolution Of Tilings

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#### Dinkydau

• Fractal Furball
• Posts: 271

#### 3rd Order Evolution Of Tilings

« on: September 06, 2017, 03:09:34 PM »

EDIT: I have changed the image to a new version. The previous version contained some glitches. Right now it should be completely free of glitches! I also changed the anti-aliasing algorithm to prevent some of the Moir? effects caused by the fine tilings.

fractal: Mandelbrot Set
Computed with Claude's GMP fork of Kalles Fraktaler
KFB map converted to MMIT with my KFB to MMIT converter
Colored in Mandel Machine with a custom gradient designed in Photoshop

Because of lack of inspiration for new renders, I'm currently dealing with my backlog of ideas that require extreme render times. I have been since early this year, actually. Most of my ideas since last November came within a few days.

This is my deepest render ever, made possible by the further development of programs that render the Mandelbrot set using perturbation and series approximation. The overall shape is the same as that of Dragon (Deep Version) except that this has 3 blobs with shapes connected to each "knot", instead of 4. Another, more crucial, difference is that the shapes here are custom, which requires more zoom depth. Applying evolution to 3 different shape types severely restricts the number of morphings that can be done per shape, unless you just zoom deeper. That's why this had to be so deep.

The first shape type is a Golden Ratio Tiling. The second shape type is a Hyperbolic tiling, which (like the fractal that the link leads to) also has golden ratio tiling "pistil". The third shape type is something different that I haven't made before. The surrounding tiled bands are highly rotational symmetrical copies of the initial repetitive zoom path that the tilings inside the main shape are also made out of.

Magnification:
2^27847.24
7.17440059980 E8382

Location:
Code: [Select]
Re = 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« Last Edit: September 27, 2017, 06:21:01 PM by Dinkydau »

#### greentexas

• Fractal Phenom
• Posts: 53

#### Re: 3rd Order Evolution Of Tilings

« Reply #1 on: September 09, 2017, 03:35:05 PM »
Wow! Very impressive work!

#### Dinkydau

• Fractal Furball
• Posts: 271

#### Re: 3rd Order Evolution Of Tilings

« Reply #2 on: September 09, 2017, 04:46:37 PM »
Thank you

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