Infinite tetration fractal pictures

[Gottfried]

I converted some into "plakette"-type (german; english: "plate"?) to put it, for instance, into silver and wear it as necklace...

yes but then you really have to use the necklace!

Well, better I look in the dictionary first ...

<G>

[bo198214]

Your 3rd one is really cute, kinda town musiciants of Bremen but with crabs *ggg*.

[73939]

I created some more awesome pictures with focus on spirals in the fractal.
I changed the software from "fractal explorer" to chaos pro which is somehow more prefessional when needed for fluidly navigating a fractal and it is especially faster.
As it is perhaps somewhat cumbersome (for the viewer) to put the photos directly in the thread I decided to make a small gallery and just put a snapshot of the thumbnails here...

Could you post the formula for that, please? the formula I'm using is:

Code:

cp_97545
{
parameter complex perturb;

    void init(void)
    {
        z=perturb;
    }
    void loop(void)
    {
        z=pixel^z;
    }
    bool bailout(void)
    {
        return(|z|<16);
    }
    void description(void)
    {
        this.title="Tetration";
        this.helpfile = "ChaosPro.chm";
        this.helptopic = "Iteration Formula";
        this.center=(1,3);
        this.angle=0;
        this.maxiter=250;
        this.periodicity=0;
        this.helpfile="formulas.html";
        perturb.caption="Perturbation";
        perturb.default=(0,0);
        perturb.hint="Start value for iteration, also called perturbation";
    }
}

It's just a modification of the default code, and while it looks like the tetration fractal, it's nothing like the images you've posted. Have I merely got the coloring wrong?

[bo198214]

It's just a modification of the default code, and while it looks like the tetration fractal, it's nothing like the images you've posted. Have I merely got the coloring wrong?

You need to set the bailout to a really large value.

[73939]

Ah. Thanks!

I've got that as my wallpaper now.

[bo198214]

I've got that as my wallpaper now.

Ya, great! Why not putting it as poster in the mathematics or computer room in your school?
Fractals are really great for posters, as you can get into details!
I guess there are some poster printing services around, that print a poster when given as .jpg or so with really big resolution.