END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

Sorry, the last 3d pictures uses |x|+|y|+|z| instead of |x|+|y|-|z| for the bailout value.

Here is the correct 3d fractal.

Nice pics, @lkmitch, I have also tried the Julia version with differents values for each function, it works nice.

---

Good work, @traffassel, The first looks like some kind of 3d cantor sets, and the second is a nice architectural piece
Did you try using abs function, like abs(x-y-z) or abs(x+y+z)?
And perhaps inverting the bailout setting for values that tend to zero? (I mean setting a small bailout value and exiting the iteration loop if the values get smaller than this)

P.S.: What do you use to render? I'd love to have a 3D renderer that let's me edit the formula and the drawing method as I want... I'm planning to code one myself.

---

@Ken, any new results?

---

As for me, I just discovered this:

Using the formula/method I first described, but evaluating abs(f1+f2) and setting the bailout to values getting close to 0, I got this kind of bifurcation map (I had to fine-tune the bailout and max iteration values to get a nice view)



And this is evaluating abs(f1-f2)



I used just plain inside painting (paint only the points inside the set, the same color)


Then, after trying several things, I got this strange drawing:



I looked closer and it's a waveform!



I got this by evaluating f1*f1-f2*f2, with a bailout value of .0000000001 (remember that I look for values that get smaller than this) and max iterations above 1000



It definitely looks like a plot of a sound wave to me, don't you think? it has different frequencies and amplitudes, I wonder how it sounds.
I'll try to get this waveform somehow by programming a VB.NET code and perhaps I can make it sound!

I don't have any conclusion as for now, I leave it for you.
( Can´t think too much as I' having a bad headache )

You wrote:
>Did you try using abs function, like abs(x-y-z) or abs(x+y+z)?
> And perhaps inverting the bailout setting for values that tend to
> zero? (I mean setting a small bailout value and exiting the iteration loop
> if the values get smaller than this)

No, I use abs(x)-abs(y)+abs(z)   

I used Gestaltlupe (http://www.boitels.de/Gestaltlupe/) for 3d drawing of arbitrary formulas.

Cool picture and a great idea! This could be a really neat approach to making fractal music.


Here's an image which uses Kali's initial method, but with bailout based on sqrt(x² + y²) instead of |x - y|.



I see what look like barcodes within the picture.

Here's a variant based on the formula (x, y) = (x³/y, y²) + c.



I think it's a surreal teapot.

Wow, this is so interesting Kali, even for a novice, cant give you any real input, like the others here, just had to tell you this.
Your images looks very interesting, so does Trafassels 3D versions.... and...
I WANT TO HEAR THAT SOUND!!!!



Regards
Johan

Me too!

So I did something about it   

<a href="http://www.youtube.com/v/vaFtbOicjSY&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/vaFtbOicjSY&rel=1&fs=1&hd=1</a>

And - OF COURSE my desktop wallpaper is Lissa!!  I just couldn't bring myself to crop Her out   

That's part one of a couple stages.  I'll post more over the next day or 2.

I began by using a jpg to wav program that makes music out of pictures (found here: http://rekkerd.org/virtual-ans-image-to-sound-converter/ )

Next I'll show how to convert the wav to midi voices and compile them into something a bit more Musical