- 2

HELP

who knows how to calculate the fractal number, I need to write the code

17th Oct 2018, 1:37 PM
Олег Степанов
Олег Степанов - avatar
1 Odpowiedź
+ 4
There are many kinds of fractals but it sounds like you're looking for math to calculate a value at a point in a Mandelbrot or Julia Set fractal. Here is how that math can look in JavaScript for the Mandelbrot Set: function(x, y) { var xt; var zx = 0, zy = 0; var cy = y; var cx = x; for (var i = 0; i < 255 && zx < 2; i++) { xt = zx * zy; zx = zx * zx - zy * zy + cx; zy = 2 * xt + cy; } return i; } The most interesting patterns from that function show in the range of x from -2 to 2 and y from -2 to 2. If you want to see how I used that in one of my published codes, select the "Mandelbrot Set" in the example at: https://code.sololearn.com/WVhoMHzy3K81/#js I used almost that exact function to define the Mandelbrot Set. Numbers at each point in the Julia Set are calculated in a slightly more complex way because each depends on 2 separate real/constant numbers. Here is some math for the Julia Set fractal expressed with JavaScript: // These numbers can be changed to make a wide variety of different Julia set patterns. var constant_x = -0.704029749122184; var constant_y = -0.3383527246917294; function(x, y) { var n = 255; var cRe = constant_x; var cIm = constant_y; var newRe = x; var newIm = y; for(var i = 0; i < 255; i++) { //remember value of previous iteration var oldRe = newRe; var oldIm = newIm; //the actual iteration, the real and imaginary part are calculated newRe = oldRe * oldRe - oldIm * oldIm + cRe; newIm = 2 * oldRe * oldIm + cIm; //if the point is outside the circle with radius 2: stop if((newRe * newRe + newIm * newIm) > 4) break; } return i; }
16th Jun 2019, 3:57 PM
Josh Greig
Josh Greig - avatar