// 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

12 May 2009

12 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.

Philip Sharman

16 Jul 2016

16 Jul 2016

For anyone else looking, the location of the PDF now seems to be here:

http://discovery.ucl.ac.uk/17241/1/17241.pdf.

http://discovery.ucl.ac.uk/17241/1/17241.pdf.

Philip Sharman

16 Jul 2016

16 Jul 2016

http://discovery.ucl.ac.uk/17241/1/17241.pdf.

21 Mar 2009