### All of Kosmic-Stardust's ABS variations

• 4 Replies
• 378 Views

0 Members and 1 Guest are viewing this topic.

#### greentexas

• Fractal Phenom
• Posts: 53

#### All of Kosmic-Stardust's ABS variations

« on: May 12, 2018, 01:48:29 PM »
Feel free to copy and paste any of these 26 formulas to check these fractals out for yourself!

Mandelbrot:
z=z^power + pixel;

Mandelbar Vertical:
z=conj(z^power + pixel);

Mandelbar Horizontal:
z=-conj(z^power + pixel);

Burning Ship:
z=abs(z^power + pixel);

Buffalo:
z=abs(z^power) + pixel;

BS Partial Imaginary:
z=real(z^power + pixel) + imag(abs(z^power + pixel))*flip(1);

BS Partial Real:
z=real(abs(z^power + pixel)) + imag(z^power + pixel)*flip(1);

BS Partial Real Mandelbar:
z=real(abs(z^power + pixel)) - imag(z^power + pixel)*flip(1);

Celtic:
z=real(abs(z^power) + pixel) + flip(1)*imag(z^power + pixel);

Celtic Mandelbar:
z=real(abs(z^power) + pixel) - flip(1)*imag(z^power + pixel);

Buffalo Partial Imaginary:
z=real(z^power + pixel) + flip(1)*imag(abs(z^power) + pixel);

Quasi Burning Ship:
z = real(abs(z^power + pixel)) + imag(abs(z^power) + pixel)*flip(1);

Celtic BS:
z = (abs(z)^power);
z = z - real(z) + abs(real(z)) + pixel;

Celtic BS Partial Imaginary:
z=(((real(z)) + abs(imag(z))*flip(1))^(power/2))^2;
z = z - real(z) + abs(real(z)) + pixel;

Celtic BS Partial Real:
z=(((real(abs(z))) + imag(z)*flip(1))^(power/2))^2;
z = z - real(z) + abs(real(z)) + pixel;

Celtic BS Partial Real Mandelbar:
z=(((real(abs(z))) + imag(z)*flip(1))^(power/2))^2;
z = z - real(z) + abs(real(z)) + pixel;
z = conj(z);

False Quasi Heart:
z=((real(abs(z)) + imag(z)*flip(1))^(power/2) + pixel)^2;

False Quasi Perpendicular:
z=((real(abs(z)) - imag(z)*flip(1))^(power/2) + pixel)^2;

Quasi Heart:
if (imag(z) > 0) {
z=abs(abs(z)^(power/2))^2 + pixel;
} else {
z=(abs(abs(z)^(power/-2))^-2 + pixel);

}

Quasi Perpendicular:
if (imag(z) < 0) {
z=abs(abs(z)^(power/2))^2 + pixel;
} else {
z=(abs(abs(z)^(power/-2))^-2 + pixel);
}

Imag Quasi Perpendicular / Heart:
if (imag(z) > 0) {
z=abs(abs(z)^(power/2))^2 + pixel;
} else {
z=(abs(abs(z)^(power/-2))^-2 + pixel);
}
z = flip(z);

Celtic False Quasi Heart:
z=((real(abs(z)) + imag(z)*flip(1))^(power/2));
z = (z - real(z) + abs(real(z)) + pixel)^2;

Celtic False Quasi Perpendicular:
z=((real(abs(z)) - imag(z)*flip(1))^(power/2));
z = (z - real(z) + abs(real(z)) + pixel)^2;

Celtic Quasi Heart:
if (imag(z) < 0) {
z=(conj(abs(abs(z)^(power))) + pixel);
} else {
z=((abs(abs(z)^(power))) + pixel);
}

Celtic Quasi Perpendicular:
if (imag(z) < 0) {
z=(conj(abs(abs(z)^(power))) + pixel);
} else {
z=((abs(abs(z)^(power))) + pixel);
}
z = conj(z);

Celtic Imaginary Quasi Perpendicular / Heart:
if (imag(z) < 0) {
z=(conj(abs(abs(z)^(power))) + pixel);
} else {
z=((abs(abs(z)^(power))) + pixel);
}
z = flip(z);

#### ottomagus

• Fractal Fanatic
• Posts: 29
• Otto Magus

#### Re: All of Kosmic-Stardust's ABS variations

« Reply #1 on: May 12, 2018, 04:36:14 PM »
Wow and thanks! I will be exploring these today....

#### greentexas

• Fractal Phenom
• Posts: 53

#### Re: All of Kosmic-Stardust's ABS variations

« Reply #2 on: May 12, 2018, 08:50:55 PM »
You're welcome! It took me over three years to figure these all out.

#### Kosmic Stardust

• Fractal Freshman
• Posts: 7

#### Re: All of Kosmic-Stardust's ABS variations

« Reply #3 on: October 30, 2018, 04:08:34 AM »

I am finally registered here now. Feel free to use my formulas anytime. I am glad to see people enjoying them!

• 3f
• Posts: 1898

#### Re: All of Kosmic-Stardust's ABS variations

« Reply #4 on: October 30, 2018, 04:23:07 AM »

I am finally registered here now. Feel free to use my formulas anytime. I am glad to see people enjoying them!
Check out the recent KF feature of "auto-skew" for the abs() formulas.

### Similar Topics

###### Kosmic Stardust (formerly stardust4ever)

Started by Kosmic Stardust on Meet & Greet

6 Replies
315 Views
October 30, 2018, 03:37:05 AM
by claude
###### Variations on the Buddhabrot

Started by AlexH on Fractal Mathematics And New Theories

8 Replies
872 Views
February 11, 2019, 12:01:03 PM
by AlexH
###### Variations on a theme by gerrit

Started by Spyke on Image Threads

75 Replies
1775 Views
July 21, 2019, 05:25:58 AM
by gerrit
###### JosLeys Kleinian Group Variations

Started by trafassel on Image Threads

2 Replies
269 Views
September 16, 2018, 08:57:55 AM
by pauldelbrot
###### A few Mandelbrot variations I discovered (Stay tuned for more!)

Started by greentexas on Share a fractal

13 Replies
1750 Views
November 02, 2018, 11:15:12 AM
by v