# Sierpinski Triangle in AS3

Today we will take a look at recursive fractal drawing in ActionScript 3. We will draw a Sierpinski Triangle.

### Sierpinski triangle

Sierpinski triangle is a fractal image, which we can construct by following these steps:
1. Draw a black triangle
2. Remove the "inner triangle" and call this function on 3 smaller triangles, which were created around

### The code in ActionScript 3

var limit:int = 6;

function drawTriangle(x:Number, y:Number, level:int, size:Number):void
{
if(level==0)  // we draw a black triangle on 0. level
with(graphics)
{
clear();
beginFill(0x00);
moveTo(x, y-size);
lineTo( x + size * 1.73/2, y + size/2);
lineTo( x - size * 1.73/2, y + size/2);
moveTo(x, y-size);
endFill();
}
if(level == limit) return; // if we reached the limit of recursion, we return
with(graphics)    // drawing a white triangle
{
beginFill(0xffffff);
moveTo(x, y+size/2);
lineTo( x - size * 1.73/4, y - size/4);
lineTo( x + size * 1.73/4, y - size/4);
moveTo(x, y+size/2);
endFill();
}
// drawing triangles around
drawTriangle(x, y - size/2, level+1, size/2); // tr. at top
drawTriangle(x - size * 1.73/4, y + size/4, level+1, size/2); // bottom right
drawTriangle(x + size * 1.73/4, y + size/4, level+1, size/2); // bottom left
}

## Old comments (closed because of spam)

### One Comment

1. Marius Žilėnas said:

Hi,
this is my implementation of Sierpinski triangle. Thought it might be interesting to share implementation in JavaScript.

http://jsfiddle.net/mzilenas/653Je/6/embedded/result/

November 21st, 2013