//
//
// centerX-- X origin of the spiral.
// centerY-- Y origin of the spiral.
// radius--- Distance from origin to outer arm.
// sides---- Number of points or sides along the spiral's arm.
// coils---- Number of coils or full rotations. (Positive numbers spin clockwise, negative numbers spin counter-clockwise)
// rotation- Overall rotation of the spiral. ('0'=no rotation, '1'=360 degrees, '180/360'=180 degrees)
//
function logSpiral(centerX, centerY, radius, sides, coils, rotation){
	//
	with(this){// Draw within the clip calling the function.
		//
		// Start at the center.
		moveTo(centerX, centerY);
		//
		// How far to rotate around center for each side.
		var aroundStep = coils/sides;// 0 to 1 based.
		//
		// Convert aroundStep to radians.
		var aroundRadians = aroundStep * 2 * Math.PI;
		//
		// Convert rotation to radians.
		rotation *= 2 * Math.PI;
		//
		// For every side, step around and away from center.
		for(var i=1; i<=sides; i++){
			//
			// How far away from center
			var away = Math.pow(radius, i/sides);
			//
			// How far around the center.
			var around = i * aroundRadians + rotation;
			//
			// Convert 'around' and 'away' to X and Y.
			var x = centerX + Math.cos(around) * away;
			var y = centerY + Math.sin(around) * away;
			//
			// Now that you know it, do it.
			lineTo(x, y);
		}
	}
}
//
//
lineStyle(2, 0x000000);// Black.
//       (centerX, centerY, radius, sides, coils, rotation)
logSpiral(    250,     200,    320,   700,    14,        0);
lineStyle(2, 0xD0D0D0);// Gray.
logSpiral(    250,     200,    320,   700,    14,       .5);
//
//

http://www.pixelwit.com/blog

Need to adjust this code to be encapsulated. Linestyle is not being called correctly.

Dynamically Draw A Logarithmic Spiral

ActionScript 3