将八面体置于3D坐标系中,其中心的坐标位于原点(0,0,0),让八面体的六个顶点恰好位于3D坐标系的x轴、y轴和z轴上,则从八面体的中心到这六个顶点的距离是相等的。我们可以假设这个距离为r,则六个顶点的坐标分别为上(0,-r,0)、下(0,r,0)、四周:左(-r,0,0)、右(r,0,0)、前(0,0,-r)、后(0,0,r)。
1 package
2 {
3 import flash.display.MovieClip;
4 import flash.display.Sprite;
5 import flash.events.Event;
6 import flash.geom.Point;
7 import flash.geom.Vector3D;
8
9 /**
10 * @author Frost.Yen
11 * @E-mail 871979853@qq.com
12 * @create 2015-9-7 下午5:10:05
13 *
14 */
15 [SWF(800",600")]
16 public class LineOctahedron extends Sprite
17 {
18 private var _faceArr:Array = [];
19 private var _r:Number = 100;//中心到顶点的距离
20 private var _focus:Number = 200;//焦距
21 private var _lineContainer:Sprite;
22 private var _container:Sprite;
23 private var _vertexArr:Array = [{x:0,y:_r,z:0},{x:-_r,y:0,z:0},{x:0,y:0,z:_r},{x:_r,y:0,z:0},{x:0,y:0,z:-_r},{x:0,y:-_r,z:0}];
24 public function LineOctahedron()
25 {
26 initViews();
27 initEventListeners();
28 }
29 private function initViews():void
30 {
31 _cOntainer= new Sprite();
32 _lineCOntainer= new Sprite();
33 _container.x = _lineContainer.x = 400;
34 _container.y = _lineContainer.y = 300;
35 this.addChild(_container);
36 this.addChild(_lineContainer);
37 createFace();
38
39 }
40 private function initEventListeners():void
41 {
42 this.addEventListener(Event.ENTER_FRAME,onEnterFrame);
43 }
44 private function onEnterFrame(e:Event):void
45 {
46 for (var i:int=0; i<_faceArr.length; i++)
47 {
48 _faceArr[i].transform.matrix3D.appendRotation((mouseX-_lineContainer.x)/50,Vector3D.Y_AXIS);
49 _faceArr[i].transform.matrix3D.appendRotation((mouseY-_lineContainer.y)/50,Vector3D.X_AXIS);
50 _faceArr[i].Z = (_faceArr[i] as MovieClip).transform.getRelativeMatrix3D(_container).position.z;
51 _faceArr[i].X = (_faceArr[i] as MovieClip).transform.getRelativeMatrix3D(_container).position.x*(_focus/(_focus+_faceArr[i].Z));
52 _faceArr[i].Y = (_faceArr[i] as MovieClip).transform.getRelativeMatrix3D(_container).position.y*(_focus/(_focus+_faceArr[i].Z));
53 //利用焦距实现透视
54 }
55 _lineContainer.graphics.clear();
56 _lineContainer.graphics.lineStyle(3,0x00ffff);
57 for(i = 1;i<=4;i++){
58 //从上面连到四周;
59 _lineContainer.graphics.moveTo(_faceArr[0].X,_faceArr[0].Y);
60 _lineContainer.graphics.lineTo(_faceArr[i].X,_faceArr[i].Y);
61 //从下面连到四周;
62 _lineContainer.graphics.moveTo(_faceArr[5].X,_faceArr[5].Y);
63 _lineContainer.graphics.lineTo(_faceArr[i].X,_faceArr[i].Y);
64 //四周顶点互连;
65 _lineContainer.graphics.moveTo(_faceArr[i].X,_faceArr[i].Y);
66 _lineContainer.graphics.lineTo(_faceArr[i!=4?i+1:1].X,_faceArr[i!=4?i+1:1].Y);
67 }
68 }
69 private function createFace():void
70 {
71 for(var i:int = 0;i<6;i++){
72 var mc:MovieClip = new MovieClip();
73 _container.addChild(mc);
74 _faceArr.push(mc);
75 mc.x = _vertexArr[i].x;
76 mc.y = _vertexArr[i].y;
77 mc.z = _vertexArr[i].z;
78 }
79 }
80 }
81 }