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Author Topic: Amazing fractal orderings...  (Read 2025 times)
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Fractal Fertilizer
Posts: 362

The pwnge.

« on: February 21, 2010, 08:35:10 PM »

I was just wondering if anyone had tried the formula for the Amazing fractal with different orders of transformations. Right now it goes: Fold->Invert->Scale->Add. By rearranging these there would be 24 different options. Most of these produce the same results by a coordinate transform or by changing variables like scale, xfold/yfold/zfold, fixedRadius, and minRadius. But something like Invert->Fold->Scale->Add should produce something different. Has anyone tried this?

Someday, man will understand primary theory; how every aspect of our universe has come about. Then we will describe all of physics, build a complete understanding of genetic engineering, catalog all planets, and find intelligent life. And then we'll just puzzle over fractals for eternity.
Fractal Fertilizer
Posts: 383

« Reply #1 on: February 21, 2010, 10:55:54 PM »

Interesting. I've been looking at the Mandelbox over the past couple of days (more to come soon), and it would seem to suffer classification overload! Still, more to explore then... smiley

I tried your idea (all use 10 iterations and scale=2). Click for full size:

* swap-fold-invert2.jpg (248.18 KB, 936x1909 - viewed 393 times.)
« Last Edit: February 21, 2010, 11:05:04 PM by twinbee » Logged
David Makin
Global Moderator
Fractal Senior
Posts: 2286

Makin' Magic Fractals
« Reply #2 on: February 21, 2010, 10:57:41 PM »

Am working on a more generalised "location controlled" formula - I actually like to call these "Location Restricted IFS" - the method essentially goes back to Barnsley's location-conditional based escape-time formulas as included in Fractint.

The meaning and purpose of life is to give life purpose and meaning.

"Makin' Magic Music" on Jango
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