# Connect The Dots E8

Actionscript:
1. [SWF(width = 500, height = 500)]
2. const TWO_PI:Number = Math.PI * 2;
3. var centerX:Number = stage.stageWidth / 2;
4. var centerY:Number = stage.stageHeight / 2;
6. function onLoop(evt:Event):void{
7.     // data
8.     var points:Array = [];
9.     var i:int = 0;
10.     var pointNum : int = Math.max(2,int(mouseX / 12))
11.
13.     var step:Number = TWO_PI / pointNum;
14.     var theta:Number = step / 2;
15.     for (i = 0; i<pointNum; i++){
16.         var xp:Number = centerX + radius * Math.cos(theta);
17.         var yp:Number = centerY + radius * Math.sin(theta);
18.         points[i] = new Point(xp, yp);
19.         theta += step;
20.     }
21.     // render
22.     graphics.clear();
23.     graphics.lineStyle(0,0);
24.     for ( i = 0; i<pointNum; i++){
25.      var a:Point = points[i];
26.      for (var j:int = 0; j<pointNum; j++){
27.         var b:Point = points[j];
28.         if (a != b){
29.            graphics.drawCircle(a.x, a.y, 10);
30.            graphics.moveTo(a.x, a.y);
31.            graphics.lineTo(b.x, b.y);
32.         }
33.      }
34.    }
35. }

I've been using this geometric shape for lots of different things recently. Including during consulting gigs as a helpful visualization. Just move your mouse left and right... I particularly like the simpler forms you get by moving your mouse to the left (triangles squares and simple polygons):

While not entirely related this wikipedia article is interesting.

[EDIT : Thanks to martin for reminding me that I can do away with the if statement here in the above code ]

Actionscript:
1. graphics.clear();
2. graphics.lineStyle(0,0);
3. for (i = 0; i<pointNum; i++) {
4.     var a:Point=points[i];
5.     for (var j:int = i+1; j<pointNum; j++) {
6.         var b:Point=points[j];
7.         graphics.drawCircle(a.x, a.y, 10);
8.         graphics.moveTo(a.x, a.y);
9.         graphics.lineTo(b.x, b.y);
10.     }
11. }
12. graphics.drawCircle(a.x, a.y, 10);

I implemented that change over at wonderfl and it works nicely

1. Martin
Posted March 20, 2010 at 3:29 am | Permalink

Nice!
(i think in line 26 you can write
for (var j:int = i+1; j<pointNum; j++)
You won´t need the if-statement anymore).

2. Zevan
Posted March 20, 2010 at 9:27 am | Permalink

Oh yeah… I think your right about that. I always forget and do the brute force way… thanks for the pointer.

3. mike
Posted March 22, 2010 at 3:59 am | Permalink

i love this, I love when simple code can produce such complex shapes.

4. mike
Posted March 22, 2010 at 4:00 am | Permalink

well not THAT simple, not too much is what i meant to say.