// Idealised Belousovâ€“Zhabotinsky reaction // (c) Alasdair Turner 2009 // Free Software // Licensed according to the GNU GPL // An implementation note about this algorithm is available here: // http://www.aac.bartlett.ucl.ac.uk/processing/samples/bzr.pdf float [][][] a; float [][][] b; float [][][] c; int p = 0, q = 1; void setup() { size(400,400); colorMode(HSB,1.0); a = new float [width][height][2]; b = new float [width][height][2]; c = new float [width][height][2]; for (int x = 0; x < width; x++) { for (int y = 0; y < height; y++) { a[x][y][p] = random(0.0,1.0); b[x][y][p] = random(0.0,1.0); c[x][y][p] = random(0.0,1.0); set(x,y,color(0.5,0.7,a[x][y][p])); } } } void draw() { for (int x = 0; x < width; x++) { for (int y = 0; y < height; y++) { float c_a = 0.0; float c_b = 0.0; float c_c = 0.0; for (int i = x - 1; i <= x+1; i++) { for (int j = y - 1; j <= y+1; j++) { c_a += a[(i+width)%width][(j+height)%height][p]; c_b += b[(i+width)%width][(j+height)%height][p]; c_c += c[(i+width)%width][(j+height)%height][p]; } } c_a /= 9.0; c_b /= 9.0; c_c /= 9.0; // adjust these values to alter behaviour a[x][y][q] = constrain(c_a + c_a * (c_b - c_c), 0, 1); b[x][y][q] = constrain(c_b + c_b * (c_c - c_a), 0, 1); c[x][y][q] = constrain(c_c + c_c * (c_a - c_b), 0, 1); set(x,y,color(0.5,0.7,a[x][y][q])); } } if (p == 0) { p = 1; q = 0; } else { p = 0; q = 1; } }

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This is a dynamic equilibrium equation for cellular automata which works on the principle of a Belousov-Zhabotinsky-like reaction. To make how it works clearer, I have separated the CA values into three concentrations of components 'a', 'b' and 'c'.

I have written a short implementation note for further details available here:

<a href="http://www.aac.bartlett.ucl.ac.uk/processing/samples/bzr.pdf">BZ reaction implementation note (pdf)</a>

Alasdair Turner

22 Mar 2009

22 Mar 2009

I'm glad you like it! If you like patterns from nature, Philip Ball has a new trilogy of books coming out: "Shapes", "Branches" and "Flow", and of course take a look at Processing virtuoso Dan Shiffman's Nature of Code http://www.shiffman.net/teaching/nature/

Starkes

11 May 2009

11 May 2009

pimp!

Xiaohan Zhang

20 May 2009

20 May 2009

wow! that looks amazing. and such little code!

lifo fernandez

3 Aug 2009

3 Aug 2009

oh yes its very little, ive realised just now.

awesome.

awesome.

20 Mar 2009