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Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > IFS - Iterated Function Systems > Amazing Box, Amazing Surf and variations > Twistbox - spiralling -1 scale box variant
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Author Topic: Twistbox - spiralling -1 scale box variant  (Read 690 times)
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pupukuusikko
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« on: January 17, 2017, 11:06:19 PM »
I found an interesting addition to the already versatile scale -1 box scene.

Formula is very simple, normal -1 box with swapping of the signs of x and z (inspired by josleys's kleinian and trafassels following work).
Still, the effect with suitable folding (fold>1) and julia coordinates is quite unique, with overwhelmingly abundant spirals wink
The code is below, full frag is also attached, though DE would need some tuning.

Code:

float  minibox(vec3 z)
{
	vec3 pos = z;
	float DF = 1.0;
	for (int i = 0; i < Box_Iterations ; i++) 
	{
		z.xyz = clamp(z.xyz, -fold, fold)*2. - z.xyz;
		float r =dot2(z);
		z/=-r; 
		DF/= r;
		z.xz*=-1.;
		z+=(Julia ? JuliaC : pos);
		orbitTrap = min(orbitTrap, abs(vec4(z,dot(z,z))));
	}	
	float r = length(z); //(dot2(z));
	return 0.2*sqrt(r)/DF;
}
* spiralbox.frag (10.14 KB - downloaded 76 times.)
« Last Edit: January 22, 2017, 02:41:20 PM by pupukuusikko, Reason: added bailout and adjusted DE in the frag » Logged
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DarkBeam
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Fragments of the fractal -like the tip of it
« Reply #1 on: January 18, 2017, 12:12:36 AM »
Tried already the dwsel crazy mod folds?
I moved the topic to the appropriate section too
http://www.fractalforums.com/amazing-box-amazing-surf-and-variations/kaliset-plus-boxfold-nice-new-2d-fractal/15/
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Crist-JRoger
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« Reply #2 on: January 18, 2017, 01:10:12 PM »
we have hyperactive fractal developer for Frag  grin  joy
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pupukuusikko
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« Reply #3 on: January 22, 2017, 10:39:13 AM »
Quote from: Crist-JRoger on January 18, 2017, 01:10:12 PM
we have hyperactive fractal developer for Frag  grin  joy

Nah, just some childish excitement of a noob, it will pass quickly wink

@luca: thanks for the relevant link, I might explore the foldings some time, but
the current formula seems nice and continuous with the default boxfold too.
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DarkBeam
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Fragments of the fractal -like the tip of it
« Reply #4 on: January 22, 2017, 11:57:41 AM »
please look at the kleinian other topics. I cannot remove the separation line...
Do you know some workaround?
Should I add a divergent bailout? ...
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DarkBeam
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Fragments of the fractal -like the tip of it
« Reply #5 on: January 22, 2017, 11:59:47 AM »
Quote from: pupukuusikko on January 17, 2017, 11:06:19 PM
Code:

float  minibox(vec3 z)
{
	vec3 pos = z;
	float DF = 1.0;
	for (int i = 0; i < Box_Iterations ; i++) 
	{
		z.xyz = clamp(z.xyz, -fold, fold)*2. - z.xyz;
		float r =dot2(z);
		z/=-r; 
		DF/= r;
		z.xz*=-1.;
		z+=(Julia ? JuliaC : pos);
		orbitTrap = min(orbitTrap, abs(vec4(z,dot(z,z))));
	}	
	float r = length(z); //(dot2(z));
	return 0.2*sqrt(r)/DF;
}

Also here you definitely should check if R is > 1e20 or < 1e-20 to avoid numerical trouble...
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Sabine
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« Reply #6 on: January 31, 2017, 01:14:19 PM »
Love this formula, great fun, Pupukuusikko, thank you!
* SpiralboxTest1.zip (17.26 KB - downloaded 78 times.)
« Last Edit: February 03, 2017, 02:00:16 PM by Sabine » Logged
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Crist-JRoger
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« Reply #7 on: January 31, 2017, 02:32:19 PM »
Super!  wink
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Crist-JRoger
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« Reply #8 on: February 07, 2017, 05:39:06 PM »
very slow  cry
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DarkBeam
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Fragments of the fractal -like the tip of it
« Reply #9 on: February 08, 2017, 06:54:53 PM »
Correct me if I am wrong. This is Buddhi's Amazing box, with a rotation of (180, 180, 0). In MB3D you should get it that way (use ABoxPlatinum).
Johan/Kraftwerk - try plsss help thank you post swing
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pupukuusikko
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« Reply #10 on: February 08, 2017, 09:03:42 PM »
Quote from: DarkBeam on February 08, 2017, 06:54:53 PM
Correct me if I am wrong. This is Buddhi's Amazing box, with a rotation of (180, 180, 0). In MB3D you should get it that way (use ABoxPlatinum).
Johan/Kraftwerk - try plsss help thank you post swing

I tried it without success. There is probably a difference in ballfold part?

my formula has just unconditional p.xyz/=r, whereas abox in mb3d has

if rr < sqr(Min_R) then
   m = Scale/sqr(Min_R)
else if rr < 1 then
   m = Scale/rr
else m = Scale
..
p.xyz*=m
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DarkBeam
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Fragments of the fractal -like the tip of it
« Reply #11 on: February 08, 2017, 09:59:32 PM »
Sorry I did not notice sad
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mclarekin
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« Reply #12 on: February 09, 2017, 02:56:10 AM »
My two cents. It looks like buddhis mandebox with a variation to the DE calc. 

In the Mandelbox, the Fixed Radius and Minimum Radius  (now called maxR2 and minR2) are variables.  We  set  maxR2 to very big number and minR2 to zero  and it is pseudo unconditional. ( i think??)
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