ChladniFigures.pde

// Interesting playing around with different ways of changing m and n
// Inspired by the Steve Mould video: https://www.youtube.com/watch?v=rjueHI002Fg
// Next steps: implement with a shader
float n = 100;
float m = 1;
float epsilon = 0.1;
float res;
int count = 500;
float increment = 0.001;
String currentlyAdjusting = "n";
float nIncrement = 0.1;
float cIx = 0;
int cChangeRate = 2;
boolean start;
float displacement = 0.5;


void setup() {
  size(500, 500);
  background(0);
  res = width/count;
  //stroke(255, 0, 0);
  colorMode(HSB, 360, 100, 100);
}

void draw() {
  background(0);
  stroke(cIx, 100, 100);
  pushMatrix();
  translate(width/2, height/2);
  for (float row = -height/2; row < count; row++) {
    for (float col = -width/2; col < count; col++) {
      // if the x,y are close enough to meeting the equation, draw a point with a little randomness
      if (abs(cos(n*PI*col*increment)*cos(m*PI*row*increment) - cos(m*PI*col*increment)*cos(n*PI*row*increment)) < epsilon) {
        point(col*res+random(-displacement,displacement), row*res+random(-displacement,displacement)); // artifical randomness
      }
    }
  }
  popMatrix();
  m += nIncrement;
  n -= nIncrement;
  if (frameCount%cChangeRate == 0) {
    cIx ++;
  }
}

Hi Pete ~

I take it this is a Processing script. I haven't worked with it yet. But I could see my way to make it a Python version.

The big question:

How does the equation change as the boundary or mount points are changed?