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Jean-Marie Choisel | all galleries >> FRACTALES / FRACTALS >> FRACTINT - Type formula JMC-C10 > FRACTINT
Type formula JMC-C10
C10-010
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2017/02/19 FRACTINT :/ Jean-Marie CHOISEL

FRACTINT
Type formula JMC-C10
C10-010


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

4 functions can be used and 4 imaginary numbers.
The maximum number of lignes of code is 2,000.

A large number of functions are available :
sin, cos, tan, cotan, sinh, cosh, tanh, cotanh,
asin, asinh, acos, acosh, atan, atanh, exp, log,
sqr, sqrt, recip, flip, ident, conj, cabs, floor,
ceil, trunc, real, imag, srand, abs, etc.

All the fractals named JMC-C09-xxx in this gallery are generated with 4 functions (fn1, fn2, fn3 and fn4)
and 3 imaginary numbers (p1, p2 and p3).
This equations cover many other groups of equations, including groups of equations provided by FRACTINT.

The equations used here are :

z = pixel^real(p1);
z = fn1(fn2(fn3(fn4(z)+p2))) + p3
|z| =< imag(p1)

For the fractal here :
real(p1) = -1, imag(p1) = 8, real(p2) = 0, imag(p2) = 0, real(p3) = -0.52, imag(p3) = -0.2
fn1()=sin(), fn2=sin(), fn3=sin(), fn4=acosh().

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 dastic change of the fractal can be observed, and often no fractal is drawn.


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