 I refuse to celebrate a corporate holiday sponsored by the diamond industry and chocolate companies by purchasing a bunch of crap to further perpetuate the Valentine Industrial Complex. But that doesn’t mean I can’t celebrate in my own way by playing around with some trig and polar coordinates using Away3D to draw hearts in 3D space.

Here’s the simple version

The Heart equation
Thanks to an anonymous submission at Mathworld.Wolfram.com I had the algebraic equation to work with without having to rediscover it on my own. Programmatically it looks like this:

```var r : Number =  2 - 2 * Math.sin( t ) +
Math.sin( t ) * Math.sqrt( Math.abs( Math.cos( t ) ) )
/ ( Math.sin( t ) + 7/5 );```

You can see that someone put it a lot of tweaking to get this just right.

Symbolically the equation looks like this: Here's the code for the loop that draws the dots.

```private function drawHeart():void {
for( var t:Number = 0; t < Math.PI * 2; t+= 0.01 ) {
var pixel : Sprite3D = makeParticle();
var r : Number =  2 - 2 * Math.sin( t ) +
Math.sin( t ) * Math.sqrt( Math.abs( Math.cos( t ) ) )
/ ( Math.sin( t ) + 7/5 );
// multiply by 80 to spread out the dots.
pixel.x = r * 80 * Math.cos( t );
pixel.y = r * 80 * Math.sin( t );
}
}```

Here's a version that draws hearts in a heart patterns.

I kept the heart count down in the example above so that the rotations wouldn't be too chunky. ( Is Molehill out yet? I want it now, Now, NOW! )

I'm not sure why it looks like part of the heart slides into a shadow when it rotates to certain angels. I didn't do that in Chrome when I was working on it.

Below are a few screen captures using many more hearts.   