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Description
Edit: Re-uploaded it once again. I forgot to include the "vvar", so now everything should work fine. The older one would always assume that you set the variation to 1.

Edit: Re-uploaded it. There was a minor problem with the correction (it wasn't doing exactly what it was supposed to), but nobody downloaded it anyways.

Edit: Just to let you guys know, I have not experienced any problems with this variation, so you can probably try using it with whatever else is usually in your Apo plugins directory.

Alright, now things are getting extreme.

Just to start off, you might want to check out my Polynomial variation [link] because I will be referencing it when talking about this one.

Like the Polynomial variation, this variation treats the Apo 2D "realm" as the complex plane, and creates a function that raises Z to a power. Thing is, this is the COMPLEX plane, which means that we have access to complex numbers. In the Polynomial Variation you had access to the Numerator and Denominator of a fraction, and that fraction was a real number. With this variation you also have access to this real number (called the "real" part of the complex number, and is now a floating point number instead of a fraction), however you also have access to the "imaginary" part of the complex number.

Essentially, it uses this function:

f(z) = z^c

Where c = a + ib, or c = real + i * imaginary

The real and imaginary variables represent the coefficients of the real part of the complex number (1) and the imaginary part of the complex number (i).

I also included a "correction" variable just like I did with the Polynomial variation plugin, which modifies the radius so that you can stop things from getting too big or too small.

You can imitate the Polynomial variation by setting "compoly_imaginary" to 0, and setting the Real variable to whatever your fraction's decimal approximation is.

One important thing to note is that this will NOT do everything that the Polynomial variation will do. In particular, it doesn't have multiple roots, if you have any idea what that means.

Now, you might be interested in seeing what this variation has to do with the Escher variation, as they both seem to do similar things.

The Escher variation uses the following formula (I think).

f(z) = z^( ( 1 + cos(a) + isin(a) ) /2 )

And you could change the value of a (called beta in the variation). You can imitate this by setting the real and imaginary variables to the following.

Real = 0.5 + cos(a)/2
Imaginary = sin(a)/2

Depending on what "a" is.

As usual, note me or comment or SOMETHING if you use this. I don't ask for credit, but I would like to know what you made with it.

Description
Edit: Re-uploaded it once again. I forgot to include the "vvar", so now everything should work fine. The older one would always assume that you set the variation to 1.

Edit: Re-uploaded it. There was a minor problem with the correction (it wasn't doing exactly what it was supposed to), but nobody downloaded it anyways.

Edit: Just to let you guys know, I have not experienced any problems with this variation, so you can probably try using it with whatever else is usually in your Apo plugins directory.

Alright, now things are getting extreme.

Just to start off, you might want to check out my Polynomial variation [link] because I will be referencing it when talking about this one.

Like the Polynomial variation, this variation treats the Apo 2D "realm" as the complex plane, and creates a function that raises Z to a power. Thing is, this is the COMPLEX plane, which means that we have access to complex numbers. In the Polynomial Variation you had access to the Numerator and Denominator of a fraction, and that fraction was a real number. With this variation you also have access to this real number (called the "real" part of the complex number, and is now a floating point number instead of a fraction), however you also have access to the "imaginary" part of the complex number.

Essentially, it uses this function:

f(z) = z^c

Where c = a + ib, or c = real + i * imaginary

The real and imaginary variables represent the coefficients of the real part of the complex number (1) and the imaginary part of the complex number (i).

I also included a "correction" variable just like I did with the Polynomial variation plugin, which modifies the radius so that you can stop things from getting too big or too small.

You can imitate the Polynomial variation by setting "compoly_imaginary" to 0, and setting the Real variable to whatever your fraction's decimal approximation is.

One important thing to note is that this will NOT do everything that the Polynomial variation will do. In particular, it doesn't have multiple roots, if you have any idea what that means.

Now, you might be interested in seeing what this variation has to do with the Escher variation, as they both seem to do similar things.

The Escher variation uses the following formula (I think).

f(z) = z^( ( 1 + cos(a) + isin(a) ) /2 )

And you could change the value of a (called beta in the variation). You can imitate this by setting the real and imaginary variables to the following.

Real = 0.5 + cos(a)/2
Imaginary = sin(a)/2

Depending on what "a" is.

As usual, note me or comment or SOMETHING if you use this. I don't ask for credit, but I would like to know what you made with it.