# 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:- Draw a black triangle
- 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 }

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