We can create a MovieClip or Sprite and draw on it. In this movie, we add a Sprite above the snowman, and then draw 2 buttons on the Sprite. We did not actually draw on the snowman.
Experiment: Download the movie and write the code to add more buttons to the snowman.
Instead of drawing the dots automatically, let the user click to add dots.
var myPicture:Sprite = new Sprite(); addChild(myPicture); myPicture.x=snowman.x; myPicture.y=snowman.x; myPicture.graphics.beginFill(0x00000); //black myPicture.graphics.drawCircle(60,50,4); //first button myPicture.graphics.drawCircle(60,70,4); //second button