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Jean-Marie Choisel | all galleries >> FRACTALES / FRACTALS >> FRACTINT - TYPE FORMULA - JMC-C07 > C07-010
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2017/05/02 FRACTINT / Jean-Marie CHOISEL

C07-010


Fractal type Formula.
In this case, the user defines all the equations and the parameters
for the calculations of the fractal (including the palette of colors).

All the fractals named C07-xxx in this gallery are generated with 4 functions (fn1(), fn2(), fn3() and fn4())
and 3 imaginary parameters (p1, p2 and p3).

The equations used here are :

z = fn1(pixel) ^ real(p1):
z = real(p2) * fn2(z),
z = (z / (fn3(z) ^ real(p3) + fn4(z) ^ imag(p3))) ^ imag(p2),
|z| <= imag(p1) (bailout test)
Note :
The C07-xxx fractals have often very complex shapes and show a lot of colors.
===================================================
For the fractal here :
fn1() = ident(), fn2 = sin(), fn3 = sin(), fn4 = recip().
real(p1) = 0.5, imag(p1) = 16, real(p2) = 8, imag(p2) = 2, real(p3) = 1, imag(p3) = 1

Notes.
1) Many other parameters are used, but they are too complex to be explained here.
2) If a function is changed or if a parameter is modified (including a very small change),
a drastic change of the fractal can be observed, and often no fractal is drawn.


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