Gingerbreadman fractal

gistfile1.swift

//
//  ViewController.swift
//  GingerBreadMan
//
//  Created by Rex Fatahi on 6/22/14.
//  Copyright (c) 2014 aug2uag. All rights reserved.
//

import UIKit

class ViewController: UIViewController {
    
    var xPos = 0;
    var yPos = 0;
    
    // starting position
    var prevX = 100;
    var prevY = 115;
    
    // konstant 
    var ka = 21;
    var kb = 3;
    
    override func viewDidLoad() {
        super.viewDidLoad()
        // Do any additional setup after loading the view, typically from a nib.
        self.gingerbread()
        
    }
    
    func gingerbread() {
        // points per starting position
        for (var j = 0; j < 10000; j++) {
            // here are the actual equations to generate next points
            xPos = (ka * (1 + 2 * kb)) - prevY + abs(prevX - (ka * kb))
            yPos = prevX;
            
            // random color generation
            let randomNumR = arc4random_uniform(235) + 10;
            let randomNumG = arc4random_uniform(235) + 10;
            let randomNumB = arc4random_uniform(235) + 10;
            let color = UIColor(red: Float(randomNumR)/255.0, green: Float(randomNumG)/255.0, blue: Float(randomNumB)/255.0, alpha: 1)
            let rect = CGRectMake(Float(xPos), Float(yPos), 1.0, 1.0);
            
            // set color 1 pixel box at position
            let view : UIView = UIView();
            view.frame = rect;
            view.backgroundColor = color;
            self.view.addSubview(view);
            
            // previous position is current position
            prevX = xPos;
            prevY = yPos;
            
        }
        
        // update current position
        xPos = ( (ka*(1+2*kb)) - prevY + (abs(prevX - (kb*ka)))  );
        yPos = prevX;
    }

    override func didReceiveMemoryWarning() {
        super.didReceiveMemoryWarning()
        // Dispose of any resources that can be recreated.
    }

}