simple code for mandelbox

Owl

Guest

« on: July 02, 2012, 09:02:11 AM »

hello,
i'm new here and like few others i understand code better than math formulas

i'm trying to generate mandelbox in houdini(www.sidefx.com) but i'm stuck, i've made mandelbulb which if i get it correctly, looks like this:

and on code looks like:

Code:

p0[xyz] = p[xyz]      //point position
n = 8       // power 
itter = 15 // number of iterations

for (i=0, i<itter, i++){
 p[xyz] => sp[r theta phi]  // to spherical
 r= pow(r, n)
 theta = theta * 8
 phi = phi * 8
 sp[r theta phi] => p[xyz] // back to cartesian
 p[xyz] = p[xyz] + p0[xyz]
}

i'm using original sample position as c which seems to give correct results, am i right?

And, i think, i get folding too.
(this one is from wiki)

Code:

function iterate(z):
    for each component in z:
        if component > 1:
            component := 2 - component
        else if component < -1:
            component := -2 - component

    if magnitude of z < 0.5:
        z := z * 4
    else if magnitude of z < 1:
        z := z / (magnitude of z)^2
   
    z := scale * z + c

what i don't get, is how to put it together? mandelbox is mandelbrot folded into a box, right?

they both have loops/iterations should i do mandelbulb and then fold it?
or is it one step of folding + step mandelbulb? (i think i've tried it too)

I've found lots of examples and snippets of code, but it still doesn't work Sceptical

i'm probably missing something obvious.

P.S. If anyone is interested in houdini version of mandelbulb i'm attaching the file
and will defenately do so with mandelbox after i get it

mandelbulb.rar (21.76 KB - downloaded 166 times.)
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Syntopia

Fractal Molossus

Posts: 681

Re: simple code for mandelbox

« Reply #1 on: July 02, 2012, 10:09:18 AM »

Look nice, your rendering. How fast is it to render an image like that? Using a raytracer such as Houdini, without any DE optimization must be very slow, right?

Quote from: Owl on July 02, 2012, 09:02:11 AM

i'm using original sample position as c which seems to give correct results, am i right?

Yes. You can also use a fixed constant, which will give you a JuliaBox / JuliaBulb.

Wrt to the Mandelbox: It is not directly related to the Mandelbulb, and you shouldn't mix code. The formula you wrote should be all you need: iterate the function, and check if the magnitude of z becomes larger than some threshold. Use scale=2 for testing.


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Owl

Guest

Re: simple code for mandelbox

« Reply #2 on: July 02, 2012, 10:36:48 AM »

thanks, for a quick reply

well i'm using volumes so generation of the bulb takes ~ 1 min 500x500x500 voxel container so its 500^3 samples per iteration
and rendering 29 sec.

just to clarify - houdini is a 3d software, i use mantra (render engine in houdini), this render is done with micro polygons and shadow maps, thou i could try to ray trace it eventually

(they have a free non-commercial version if someone is interested)

will, come back with results


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KRAFTWERK

Global Moderator
Fractal Senior

Posts: 1439

Virtual Surreality

Re: simple code for mandelbox

« Reply #3 on: July 02, 2012, 11:20:43 AM »

WOW, I love the fury look of your bulb... Might try out houdini some day...


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3Dprinted Fractals https://www.shapeways.com/shops/mandelpieces

Owl

Guest

Re: simple code for mandelbox

« Reply #4 on: July 02, 2012, 12:04:11 PM »

and it works! (dont know what i did wrong the firs time, but now it ok

its a lot noisier than mandelbulb... now its probably time to look for optimization posibilities, but since its not a ray cast, i'm not sure whether same methods apply.

its furry because its a volume like a cloud, so it looks softier

and a scene file as promised wink

mandelbox.rar (22.14 KB - downloaded 178 times.)
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ker2x

Fractal Molossus

Posts: 795

Re: simple code for mandelbox

« Reply #5 on: July 05, 2012, 04:04:24 PM »

fluffy \o/ grin

i really really like houdini, it's an awesome software.
I only have the "apprentice" edition. Houdini being, afaik, the most expensive 3D software ever

Do you know if i can do that using the Apprentice edition ?
thank you


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Owl

Guest

Re: simple code for mandelbox

« Reply #6 on: July 06, 2012, 10:50:36 AM »

Quote from: ker2x on July 05, 2012, 04:04:24 PM

fluffy \o/ grin

i really really like houdini, it's an awesome software.
I only have the "apprentice" edition. Houdini being, afaik, the most expensive 3D software ever

Do you know if i can do that using the Apprentice edition ?
thank you

It is expensive and it offers so much cheesy

Yes sure you can, you can take my sceene an start with it, i've moved it to cvex (render time calculation

) so look for it in SHOP context
Haven't done colors yet, how do you calculate them? based a ramp values based on a resulting vector magnitude?

anyway here's the scene, otl, and a new image

Full ray trace, 11 min 27 sec

somehow i can't upload hip file, so i'm putting it online and just dropping a link

http://www64.zippyshare.com/v/85035747/file.html


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Syntopia

Fractal Molossus

Posts: 681

Re: simple code for mandelbox

« Reply #7 on: July 06, 2012, 11:27:26 AM »

Looks great, but I can't understand the rounded corners - I don't think they are a consequence of the volumetric rendering.

Do you have some kind of escape conditions (like: if (length(z)>10.0) break;)? You might want to raise the bailout value a bit (to at least 10.0).


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Owl

Guest

Re: simple code for mandelbox

« Reply #8 on: July 17, 2012, 09:39:23 AM »

probably the scale was to big i had a container of 6x6x6
here is a 4x4x4

<a href="https://vimeo.com/moogaloop.swf?clip_id=45886560&server=vimeo.com&fullscreen=1&show_title=1&show_byline=1&show_portrait=0&color=01AAEA" target="_blank">https://vimeo.com/moogaloop.swf?clip_id=45886560&server=vimeo.com&fullscreen=1&show_title=1&show_byline=1&show_portrait=0&color=01AAEA</a>


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zephmann

Guest

Re: simple code for mandelbox

« Reply #9 on: September 06, 2012, 06:28:14 PM »

Cool stuff!

Here is a link to a similar thread over at odforce about creating Mandelbulbs in Houdini, including some scene files from Jeff Lait, who is one of the senior mathematicians at Side Effects.

http://forums.odforce.net/index.php?/topic/10207-3d-mandelbrot-primitive/


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faxingberlin

Forums Newbie

Posts: 2

Re: simple code for mandelbox

« Reply #10 on: July 28, 2016, 12:57:34 PM »

Quote from: Owl on July 06, 2012, 10:50:36 AM

It is expensive and it offers so much cheesy

Yes sure you can, you can take my sceene an start with it, i've moved it to cvex (render time calculation

) so look for it in SHOP context
Haven't done colors yet, how do you calculate them? based a ramp values based on a resulting vector magnitude?

anyway here's the scene, otl, and a new image

Full ray trace, 11 min 27 sec
<Quoted Image Removed>

somehow i can't upload hip file, so i'm putting it online and just dropping a link

http://www64.zippyshare.com/v/85035747/file.html

Looks really awesome!

i can't access uploaded hip file (http://www64.zippyshare.com/v/85035747/file.html)

Could you upload again?


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