Today I added some new stuff and organized my gallery in folders. The fractals I uploaded were made with formula combinations I'm testing lately, to see the possibilities of the fractal generator I'm writing. One of the good things is that I was able to implement and combine my "discovery", Mandelbrot on real numbers, with good results. After all is just an exponentiation of the real and imag values separately, then add to both values the modulus of the Julia constant modified by a multiplying factor (this is one of the variations I'm using). The original method for obtaining patterns was plotting the interference of two Mandelbrot formulas applied to real numbers, iterating them separately on x and y axis. I posted this on fractalforums.com, and gained the attention of that community, because of the curious patterns that emerged from that simple method without using complex values. This led later to the discovery of a "fractal waveform", a drawing that resembled a soundwave... Once I discovered why this drawing appeared, I wrote a VB code to make a sound file and sounded like wind gusts! It was funny to make that, but after all is only the waves produced by the mandelbrot iteration on the real axis, between the ranges -2, 0. If you plot this waves after each iteration, you get a bifurcation map... one of the simplest examples of how chaos emerges from the iteration of such a simple mathematical formula.
You can see the threads I mentioned here: [link] [link]