The Barnsley Fern is a fractal pattern named after British mathematician Michael Barnsley. It is generated by an iterative process that involves repeatedly applying a set of geometric transformations to a simple initial shape. The resulting fern-like pattern displays self-similarity at different scales, and has applications in computer graphics, image compression, and chaos theory.
float x = 0;
float y = 0;
float[][] magicX = {
{0.00, 0.00},
{0.85, 0.04},
{0.20, -0.26},
{-0.15, 0.28}
};
float[][] magicY = {
{0.16, 0.00, 0.00},
{-0.04, 0.85, 1.6},
{0.23, 0.22, 1.6},
{0.26, 0.24, 0.44}
};
//PGraphics pg;
int iterations = 123456;
void setup() {
//fullScreen(P3D);
size(2048, 2048, P3D);
background(0);
histogram = new int[width][height];
//pg = createGraphics(width*2, height*2);
//pg.beginDraw();
//pg.background(0, 50);
//pg.endDraw();
}
boolean record = false;
void draw() {
/*
background();
translate(width*0.5, 0, 0);
rotateY(frameCount*0.01);
translate(-width*0.5, 0, 0);
image(pg, -width, -height);
*/
for (int i = 0; i < iterations; i++) {
getPoint();
drawPoint();
}
if (frameCount < 100) {
saveFrame("frame-####.jpg");
} else {
exit();
}
}
void getPoint() {
float dx = 0;
float dy = 0;
float r1 = random(1);
if (r1 < 0.01) {
//1
dx = magicX[0][0];
dy = magicY[0][0] * y;
} else if (r1 < 0.86 ) {
//2
dx = magicX[1][0] * x + magicX[1][1] * y;
dy = magicY[1][0] * x + magicY[1][1] * y + magicY[1][2];
} else if (r1 < 0.93) {
//3
dx = magicX[2][0] * x + magicX[2][1] * y;
dy = magicY[2][0] * x + magicY[2][1] * y + magicY[2][2];
} else {
//4
dx = magicX[3][0] * x + magicX[3][1] * y;
dy = magicY[3][0] * x + magicY[3][1] * y + magicY[3][2];
}
x = dx;
y = dy;
}
int[][] histogram;
int highest = 0;
void drawPoint() {
int px = (int)map(x, -2.1820, 2.6558, width*0.19, width*0.81);
int py = (int)map(y, 0, 9.9983, height*0.99, height*0.01);
histogram[px][py]++;
if (histogram[px][py] > highest) {
highest = histogram[px][py];
set(px, py, 255);
}
if (highest > 1) {
//float bright = map(histogram[px][py], 0, (float)Math.log(highest), 0, 255);
//stroke(histogram[px][py], bright,0);
float m = map(histogram[px][py], 0, log(highest), 0, 1);
color from = color(#123556);
color to = color(255);
color l = lerpColor(from, to, m);
// pixels[py*width+px] = l;
set(px, py, l);
}
}