/** * Koch Island drawing without recursion (click to restart) * by Ben Chun */

Snowflake s;

void setup(){ size(600,600); stroke(160); smooth(); s = new Snowflake();}

void draw(){ background(64); s.drawSelf(); // go slow at first if (s.points.size() > 192) { s.alterNextSegment(); } else if(s.points.size() > 48) { if (frameCount % 8 == 0) s.alterNextSegment(); } else if(s.points.size() > 12) { if (frameCount % 16 == 0) s.alterNextSegment(); } else { if (frameCount % 32 == 0) s.alterNextSegment(); }}

class Snowflake{ ArrayList points; int currentPoint;

public Snowflake() { initialize(); }

void initialize() { points = new ArrayList(); float sideLength = 3f*min(height,width)/4f; PVector top = new PVector(width/2f, sideLength - (sqrt(3)/2*sideLength) ); points.add(top); points.add(endPoint(top, sideLength, radians(120))); points.add(endPoint(top, sideLength, radians(60))); currentPoint = 0; }

void drawSelf() { for(int i=0; i= points.size()) currentPoint = 0; }

// take the endpoints of a line and elaborate upon them by finding the two points that divide the line into thirds. // then find a third point such that it is the same distance from both new points as they are from the endpoints. // of the two possible solutions, pick the one that's outside the figure. // returns an array of the three new points. PVector[] elaboratePoints(PVector p1, PVector p2) { PVector[] newPoints = new PVector[3]; PVector l = PVector.sub(p2, p1); float dis = l.mag(); float d = dis/3f; float a = PVector.angleBetween(l, new PVector(width,0)); if (l.y < 0) a = 2*PI - a; // fixup angles > 180 newPoints[0] = endPoint(p1, d, a); newPoints[2] = endPoint(p2, d, a+PI); newPoints[1] = endPoint(newPoints[2], d, a+2*PI/3); return newPoints; }

// takes a PVector start point, a length len, and an angle a. // returns the PVector representing a point len away from start at angle a PVector endPoint(PVector start, float len, float a) { float dx = len * cos(a); float dy = len * sin(a); PVector p = new PVector(start.x+dx, start.y+dy); return p; }

}

void mousePressed(){ s.initialize();}