Problem Description

Draw the Koch snowflake using recursive method with javascript!

Calculate the point for the Koch lines

function calculatePoint(center, p){
  var angleInDegrees = 60;
  var angleInRadians = angleInDegrees * Math.PI / 180;
  var s1 = Math.sin(angleInRadians);
  var c1 = Math.cos(angleInRadians);
  var x1 = (p[0] - center[0]) * c1 - (p[1] - center[1])* s1 + center[0];
  var y1 = (p[0] - center[0]) * s1 + (p[1] - center[1])* c1 + center[1];
  var f = vec2(x1,y1);
  return f;
}

Divide line into koch line and call the function recursively

function divideLine(a, b,count)
{
  if(count === 0){
    var left;
    var right;
    left = mix(a,b,1/3);
    right = mix(a,b,2/3);
    var f = calculatePoint(left,right);
    drawLine(a,left,f,right,b);
  }
  else {
    var ab = mix (a,b,0.3333);
    var ba = mix (b,a,0.3333);
    var v = calculatePoint(ab, ba);
    count --;
    divideLine(a,ab,count);
    divideLine(ba,b,count);
    divideLine(ab,v,count);
    divideLine(v,ba,count);
  }
    return f;
}

Draw a snowflake by calling the divideLine function three times

function snowflake(a,b,c,count){
    divideLine(a,b,count);
    divideLine(b,c,count);
    divideLine(c,a,count);
}

Project Link

more coming! Currently reworking on the blogs.