07/02/2010, 03:18 PM
I was wondering if anyone had done any reasearch on fractals of the form
. As you can see, it's similar to the Mandelbrot set, but the operators have been raised a level. Using Chaos Pro, I've gathered the following images for n=2, and later I'll go back for other n.
![[Image: 21.jpg]](http://lh4.ggpht.com/_1md9svnyqC8/TC1QRul4iHI/AAAAAAAAAKw/T1b3tzCqkPI/21.jpg)
![[Image: 22.jpg]](http://lh5.ggpht.com/_1md9svnyqC8/TC1QRxYAuTI/AAAAAAAAALE/AiQE-qOnXvI/22.jpg)
![[Image: 23.jpg]](http://lh3.ggpht.com/_1md9svnyqC8/TC1QSedkbyI/AAAAAAAAALI/oMYCL9pS-Ow/23.jpg)
It seems like something similar to the hyperpower fractal, but here you can see the "leaves" appear to stick out from beneath the mess...
![[Image: 24.jpg]](http://lh3.ggpht.com/_1md9svnyqC8/TC1QSmvfnCI/AAAAAAAAALU/sOSklxo1TSE/24.jpg)
![[Image: 25.jpg]](http://lh6.ggpht.com/_1md9svnyqC8/TC1QS6d5ZJI/AAAAAAAAALY/Y3tNdHHEChs/25.jpg)
The above mess seems to have no pattern whatsoever, but you look closely, you'll see little blobs like this:
![[Image: 26.jpg]](http://lh5.ggpht.com/_1md9svnyqC8/TC1QTba2rhI/AAAAAAAAALg/D7YABPfkZjs/26.jpg)
Also, when generating higher values of n, keep in mind that you must change the perturbation point to 1, otherwise you'll get a whole lot of black.
![[Image: ztozn.jpg]](http://lh3.ggpht.com/_1md9svnyqC8/TC1RnuVfIdI/AAAAAAAAAK4/adlQ9_snhQk/ztozn.jpg)
![[Image: 21.jpg]](http://lh4.ggpht.com/_1md9svnyqC8/TC1QRul4iHI/AAAAAAAAAKw/T1b3tzCqkPI/21.jpg)
![[Image: 22.jpg]](http://lh5.ggpht.com/_1md9svnyqC8/TC1QRxYAuTI/AAAAAAAAALE/AiQE-qOnXvI/22.jpg)
![[Image: 23.jpg]](http://lh3.ggpht.com/_1md9svnyqC8/TC1QSedkbyI/AAAAAAAAALI/oMYCL9pS-Ow/23.jpg)
It seems like something similar to the hyperpower fractal, but here you can see the "leaves" appear to stick out from beneath the mess...
![[Image: 24.jpg]](http://lh3.ggpht.com/_1md9svnyqC8/TC1QSmvfnCI/AAAAAAAAALU/sOSklxo1TSE/24.jpg)
![[Image: 25.jpg]](http://lh6.ggpht.com/_1md9svnyqC8/TC1QS6d5ZJI/AAAAAAAAALY/Y3tNdHHEChs/25.jpg)
The above mess seems to have no pattern whatsoever, but you look closely, you'll see little blobs like this:
![[Image: 26.jpg]](http://lh5.ggpht.com/_1md9svnyqC8/TC1QTba2rhI/AAAAAAAAALg/D7YABPfkZjs/26.jpg)
Also, when generating higher values of n, keep in mind that you must change the perturbation point to 1, otherwise you'll get a whole lot of black.