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;

         }

     }

 }