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Author Topic: Perpendicular burning ship - Ring  (Read 2342 times)
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Kalles Fraktaler
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« on: November 10, 2014, 11:46:31 PM »

Perpendicular burning ship - Ring



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=16761

The search for IFS resemblance in Mandelbrot-ABS fractals continue

Code:
Re: -1.907188768805084171958014934609
Im: -0.00010632394858856694893134255993
Zoom: 6.710880E7
Rotate: 2.373648
Ratio: 1558
« Last Edit: November 10, 2014, 11:48:04 PM by Kalles Fraktaler » Logged

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cKleinhuis
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« Reply #1 on: November 11, 2014, 09:18:07 AM »

lol, cool stuff you get out of that, aaarrrrh i always foget what you people mean by perpendicular mandelbrot sad
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divide and conquer - iterate and rule - chaos is No random!
youhn
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Shapes only exists in our heads.


« Reply #2 on: November 11, 2014, 03:17:11 PM »

Does this help?

Code:

// Perpendicular Mandelbrot
else if(m_nFractalType==6){
if(antal<nMaxIter && test1 <= m_nBailout2){
for(;antal<nMaxIter && test1 <= m_nBailout2;antal++){
yr=m_db_dxr[antal]+Dr;
yi=m_db_dxi[antal]+Di;
test2=test1;
test1 = yr*yr+yi*yi;
if(test1<m_db_z[antal]){
if(!m_bNoGlitchDetection)
test1 = m_nBailout2*2;
bGlitch=TRUE;
}
double &r = m_db_dxr[antal];
double &i = m_db_dxi[antal];
double &a = Dr;
double &b = Di;
double &a0 = dbD0r;
double &b0 = dbD0i;

Dnr = 2*r*a + a*a - b*b - 2*b*i + a0;

double c = r;
double d = a;
if(c>0){
if(c+d>0)
Dni = d;
else if(d==-c)
Dni = d;
else if(d<-c)
Dni = -d-2*c;
}
else if (c==0)
Dni = _abs(d);
else if (c < 0){
if (c+d>0)
Dni = d + 2*c;
else if (d == -c)
Dni = -d;
else if (d < -c)
Dni = -d;
}
Dni = _abs((r+a))*b*-2 + Dni*i*-2 + b0;


Di = Dni;
Dr = Dnr;
}
}
}


Note: don't ask me, I'm not sure either and while I can find the code ... it does not directly help me.
« Last Edit: November 11, 2014, 03:21:56 PM by youhn, Reason: Fixed a tag and added a note » Logged
Alef
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« Reply #3 on: November 11, 2014, 04:19:01 PM »

lol, cool stuff you get out of that, aaarrrrh i always foget what you people mean by perpendicular mandelbrot sad

Perpendicular for pow2 mandelbulb. In one plane there is mandelbrot and in perpendicular plane perpendicular mandelbrot. Realy just a mandelbrot with the reflection symmetric in x axis.
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cKleinhuis
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formerly known as 'Trifox'


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« Reply #4 on: November 11, 2014, 05:50:01 PM »

so, how is the difference to 2d then? by slicing non orthogonal planes ?
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divide and conquer - iterate and rule - chaos is No random!
Kalles Fraktaler
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Posts: 1458



kallesfraktaler
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« Reply #5 on: November 11, 2014, 09:48:43 PM »

lol, cool stuff you get out of that, aaarrrrh i always foget what you people mean by perpendicular mandelbrot sad

They are all collected here:
http://stardust4ever.deviantart.com/art/Mandelbrot-ABS-Variations-Complete-Set-of-Formulas-487039852

And cubics here:
http://stardust4ever.deviantart.com/art/Cubic-Mandelbrot-ABS-Variations-Incomplete-487039945
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Alef
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« Reply #6 on: November 12, 2014, 05:20:42 PM »

It is the perpendicular cutout of the power2 mandelbulb. It have normal mandelbrot in XY plane and not so in XZ. I can't share the attached image, but it's the last picture
http://www.fractalforums.com/new-theories-and-research/why-there-isn't-3d-12-conformal-transformation/msg66343/

Like adding this z= abs(real(z))- 1i*(imag(z)) after the z+z+c  huh? or somethging like that.

There were a great thread, but images seems to had dissapeared:
http://www.fractalforums.com/new-theories-and-research/complex-not-so-complex/ Or that was the other thread by puntopunto  huh? They both don't have images about reflections and rotations.
« Last Edit: November 12, 2014, 05:26:37 PM by Alef » Logged

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Alef
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Posts: 1174



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« Reply #7 on: November 13, 2014, 07:26:55 PM »

You can add to the list Quad Gen by Jos Hedriks (Puntopunto). If you prefare squares over spirals.
x=x^2+y^2+c
y=2.5*x*y+c
or pretty simmilar exept in shape
x=x^2+y^2+c
y=-2.5*x*y+c

or more interesting in zooms with abs
x=abs(x^2+y^2+c)
y=abs(2.5*x*y+c)

Or good old but not very zoomable Talis from Fractal Explorer.
z= z^2/(z + 1) +c  (or z= z^n /(z^ (n-1) + 1) +c )

Or this alsou from FE. Its kind of mandelbrot set with julia sets flying around in every zoom.
z=z*sinh-c^2

 cheesy
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