Actionscript:

[SWF(width = 500, height = 500)]

const TWO_PI:Number = Math.PI * 2;

var centerX:Number = stage.stageWidth / 2;

var centerY:Number = stage.stageHeight / 2;

addEventListener(Event.ENTER_FRAME, onLoop);

function onLoop(evt:Event):void{

// data

var points:Array = [];

var i:int = 0;

var pointNum : int = Math.max(2,int(mouseX / 12))


var radius:Number = 200;

var step:Number = TWO_PI / pointNum;

var theta:Number = step / 2;

for (i = 0; i<pointNum; i++){

var xp:Number = centerX + radius * Math.cos(theta);

var yp:Number = centerY + radius * Math.sin(theta);

points[i] = new Point(xp, yp);

theta += step;

}

// render

graphics.clear();

graphics.lineStyle(0,0);

for ( i = 0; i<pointNum; i++){

var a:Point = points[i];

for (var j:int = 0; j<pointNum; j++){

var b:Point = points[j];

if (a != b){

graphics.drawCircle(a.x, a.y, 10);

graphics.moveTo(a.x, a.y);

graphics.lineTo(b.x, b.y);

}

}

}

}
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:

graphics.clear();

graphics.lineStyle(0,0);

for (i = 0; i<pointNum; i++) {

var a:Point=points[i];

for (var j:int = i+1; j<pointNum; j++) {

var b:Point=points[j];

graphics.drawCircle(a.x, a.y, 10);

graphics.moveTo(a.x, a.y);

graphics.lineTo(b.x, b.y);

}

}

graphics.drawCircle(a.x, a.y, 10);
I implemented that change over at wonderfl and it works nicely
4 Comments
Nice!
(i think in line 26 you can write
for (var j:int = i+1; j<pointNum; j++)
You wonÂ´t need the ifstatement anymore).
Oh yeah… I think your right about that. I always forget and do the brute force way… thanks for the pointer.
i love this, I love when simple code can produce such complex shapes.
well not THAT simple, not too much is what i meant to say.