[ActionScript 3.0] AS3 绘制12面体

package
{
    import flash.display.Sprite;
    import flash.events.Event;
    import flash.events.MouseEvent;
    import flash.geom.Point;
    import flash.geom.Vector3D;
    
    /**
     * @author Frost.Yen
     * @E-mail 871979853@qq.com
     * @create 2015-9-1 下午2:32:43
     *
     */
    [SWF(width="800",height="600")]
    public class Dodecahedron extends Sprite
    {
        private var _faceArr:Array = [];//存放每个面的数组
        private var _radius:Number = 60;//五边形半径
        private var _dis:Number;//中心点到五边形顶点的距离，可根据五边形半径计算
        private var _angle:Number=Math.acos(-1/Math.sqrt(5))*180/Math.PI;//12面体相邻面之间的夹角
        private var _container:Sprite;
        public function Dodecahedron()
        {
            initViews();
            initEventListeners();
        }
        private function initViews():void
        {
            _container = new Sprite();
            _container.x = stage.stageWidth*0.5;
            _container.y = stage.stageHeight*0.5;
            
            this.addChild(_container);
            creatDodecahedron();
        }
        private function initEventListeners():void
        {
            this.addEventListener(Event.ENTER_FRAME,onMove);
        }
        private function onMove(e:Event):void
        {
            for(var i:int = 0;i<_faceArr.length;i++){
                _faceArr[i].transform.matrix3D.appendRotation(-(mouseX-stage.stageWidth*0.5)/10,Vector3D.Y_AXIS);
                _faceArr[i].transform.matrix3D.appendRotation((mouseY-stage.stageHeight*0.5)/10,Vector3D.X_AXIS);
            }
            _faceArr.sortOn("z",18);//如果为 options 参数指定值 8 或 Array.RETURNINDEXEDARRAY，则返回反映排序结果的数组并且不修改数组。
            for(i=0;i<_faceArr.length;i++){
                _container.setChildIndex(_faceArr[i],i);
            }
            
        }
        private function creatDodecahedron():void
        {
            var b:Number = Math.sqrt(_radius*_radius*2-2*_radius*_radius*Math.cos(360/6 * Math.PI/180));//五边形的边长
            var h1:Number = Math.sqrt(_radius*_radius-b*b/4);//五边形中心点到任意边的高
            //var h:Number = h1 * Math.tan((180-116.56505)*0.5*Math.PI / 180);//12面体中心点到五边形中心点的距离
            _dis = h1 / Math.sin((180-116.56505)*0.5*Math.PI / 180);//12面体中心点到五边形顶点的距离

            for(var i:int = 0;i<12;i++){
                var pentagon:Sprite = drawPentagon(_radius,Math.random()*0xFFFFFF);
                pentagon.z = -Math.sqrt(_dis*_dis-_radius*_radius);
                _container.addChild(pentagon);
                _faceArr.push(pentagon);
            }
            _faceArr[6].transform.matrix3D.appendRotation(180,Vector3D.Y_AXIS);
            for(i=1;i<=5;i++){
                //12面体相邻面的夹角arccos(-1/√5)*180/π=116.56505
                //trace(Math.acos(-1/Math.sqrt(5))*180/Math.PI);
                _faceArr[i].transform.matrix3D.appendRotation(_angle,Vector3D.Y_AXIS);
                //绕z轴分布;
                _faceArr[i].transform.matrix3D.appendRotation(36-(i-1)*72,Vector3D.Z_AXIS);
                _faceArr[i + 6].transform.matrix3D.appendRotation(180+_angle,Vector3D.Y_AXIS);
                _faceArr[i + 6].transform.matrix3D.appendRotation(36-(i-1)*72,Vector3D.Z_AXIS);
            }
        }
        /**
         * 绘制五边形
         * @param    r
         * @param    color
         * @return
         */
        private function drawPentagon(r:Number = 60,color:uint = 0xff00ff):Sprite
        {
            var pointArr:Array = [];
            for(var i:int = 0;i<5;i++){
                pointArr.push(new Point(r*Math.cos(i*Math.PI*2/5),r*Math.sin(i*Math.PI*2/5)));
            }
            var pentagon:Sprite = new Sprite();
            pentagon.graphics.lineStyle(0,0);
            pentagon.graphics.beginFill(color,0.9);
            pentagon.graphics.moveTo(pointArr[0].x,pointArr[0].y);
            for(i = 1;i<=5;i++){
                pentagon.graphics.lineTo(pointArr[i%5].x,pointArr[i%5].y);
            }
            pentagon.graphics.endFill();
            return pentagon;
        }
    }
}