最近研究魔方的玩法,就突然想用HMTL5寫一個魔方的模型,由於魔方是一個3D的立方體,這次就試著用HTML5寫了一個簡單的3D模型。
下面是測試連結和預覽畫面。
http://lufy.netne.net/lufylegend-js/lufylegend-1.4/Rubik/index.html
製作流程
首先你需要下載html5開源庫件lufylegend-1.4.0
http://blog.csdn.net/lufy_legend/article/details/7644932
魔方分為6個面,每個面由9個小矩形組成,現在我把每個小矩形當做一個類封裝起來,
因為現在建立的是一個3D魔方,所以要畫出每個小矩形,需要知道小矩形的4個定點,而這4個定點會根據空間的旋轉角度而變換,所以為了計算出這4個定點座標,需要知道魔方繞x軸和z軸旋轉的角度。
所以,建立矩形類如下
function Rect(pointA,pointB,pointC,pointD,angleX,angleZ,color){base(this,LSprite,[]);this.pointZ=[(pointA[0]+pointB[0]+pointC[0]+pointD[0])/4,(pointA[1]+pointB[1]+pointC[1]+pointD[1])/4,(pointA[2]+pointB[2]+pointC[2]+pointD[2])/4];this.z = this.pointZ[2];this.pointA=pointA,this.pointB=pointB,this.pointC=pointC,this.pointD=pointD,this.angleX=angleX,this.angleZ=angleZ,this.color=color;}Rect.prototype.setAngle = function(a,b){this.angleX = a;this.angleZ = b;this.z=this.getPoint(this.pointZ)[2];};
pointA,pointB,pointC,pointD是小矩形的四個頂點,angleX,angleZ分別是x軸和z軸旋轉的角度,color是小矩形的顏色。
魔方分為6個面,先看一下最前面的一面,如果以立方體的中心作為3D座標系的中心,那麼9個小矩形的各個定點所對應的座標如所示
所以,前面這個面的9個小矩形可以由下面的代碼來建立
for(var x=0;x<3;x++){for(var y=0;y<3;y++){z = 3;var rect = new Rect([-3*step + x*2*step,-3*step + y*2*step,-3*step + z*2*step],[-step + x*2*step,-3*step + y*2*step,-3*step + z*2*step],[-step + x*2*step,-step + y*2*step,-3*step + z*2*step],[-3*step + x*2*step,-step + y*2*step,-3*step + z*2*step],0,0,"#FF0000");backLayer.addChild(rect);}}
其中backLayer是一個LSprite類,step是半個小矩形的長,同樣的道理,可以也得到其他5個面。
6個面都建立了,在繪製這6個面之前,首先要根據旋轉的角度來計算各個定點的座標,看下面的圖
根據上面的圖,用下面的公式即可得到變換後的定點座標
Rect.prototype.getPoint = function(p){var u2,v2,w2,u=p[0],v=p[1],w=p[2]; u2 = u * Math.cos(this.angleX) - v * Math.sin(this.angleX); v2 = u * Math.sin(this.angleX) + v * Math.cos(this.angleX); w2 = w; u = u2; v = v2; w = w2; u2 = u; v2 = v * Math.cos(this.angleZ) - w * Math.sin(this.angleZ); w2 = v * Math.sin(this.angleZ) + w * Math.cos(this.angleZ); u = u2; v = v2; w = w2; return [u2,v2,w2];};
最後根據小矩形的四個定點座標,來繪製這個矩形,
Rect.prototype.draw = function(layer){this.graphics.clear();this.graphics.drawVertices(1,"#000000",[this.getPoint(this.pointA),this.getPoint(this.pointB),this.getPoint(this.pointC),this.getPoint(this.pointD)],true,this.color);};
其中drawVertices是lufylegend.js庫件中LGraphics類的一個方法,它可以根據傳入的定點座標數組來繪製一個多邊形。
最後,給出完整代碼,代碼很少,JS代碼一共91行。
一,index.html
<!DOCTYPE html><html><head><meta charset="UTF-8"><title>3D魔方</title></head><body><div id="mylegend">loading……</div><script type="text/javascript" src="../lufylegend-1.4.0.min.js"></script> <script type="text/javascript" src="./Main.js"></script> <script type="text/javascript" src="./Rect.js"></script> </body></html>
二,Rect類
function Rect(pointA,pointB,pointC,pointD,angleX,angleZ,color){base(this,LSprite,[]);this.pointZ=[(pointA[0]+pointB[0]+pointC[0]+pointD[0])/4,(pointA[1]+pointB[1]+pointC[1]+pointD[1])/4,(pointA[2]+pointB[2]+pointC[2]+pointD[2])/4];this.z = this.pointZ[2];this.pointA=pointA,this.pointB=pointB,this.pointC=pointC,this.pointD=pointD,this.angleX=angleX,this.angleZ=angleZ,this.color=color;}Rect.prototype.draw = function(layer){this.graphics.clear();this.graphics.drawVertices(1,"#000000",[this.getPoint(this.pointA),this.getPoint(this.pointB),this.getPoint(this.pointC),this.getPoint(this.pointD)],true,this.color);};Rect.prototype.setAngle = function(a,b){this.angleX = a;this.angleZ = b;this.z=this.getPoint(this.pointZ)[2];};Rect.prototype.getPoint = function(p){var u2,v2,w2,u=p[0],v=p[1],w=p[2]; u2 = u * Math.cos(this.angleX) - v * Math.sin(this.angleX); v2 = u * Math.sin(this.angleX) + v * Math.cos(this.angleX); w2 = w; u = u2; v = v2; w = w2; u2 = u; v2 = v * Math.cos(this.angleZ) - w * Math.sin(this.angleZ); w2 = v * Math.sin(this.angleZ) + w * Math.cos(this.angleZ); u = u2; v = v2; w = w2; return [u2,v2,w2];};
三,Main.js
init(50,"mylegend",400,400,main);var a = 0,b=0,backLayer,step = 20,key = null;function main(){backLayer = new LSprite();addChild(backLayer);backLayer.x = 120,backLayer.y = 120;//後for(var x=0;x<3;x++){for(var y=0;y<3;y++){z = 0;var rect = new Rect([-3*step + x*2*step,-3*step + y*2*step,-3*step + z*2*step],[-step + x*2*step,-3*step + y*2*step,-3*step + z*2*step],[-step + x*2*step,-step + y*2*step,-3*step + z*2*step],[-3*step + x*2*step,-step + y*2*step,-3*step + z*2*step],0,0,"#FF4500");backLayer.addChild(rect);}}//前for(var x=0;x<3;x++){for(var y=0;y<3;y++){z = 3;var rect = new Rect([-3*step + x*2*step,-3*step + y*2*step,-3*step + z*2*step],[-step + x*2*step,-3*step + y*2*step,-3*step + z*2*step],[-step + x*2*step,-step + y*2*step,-3*step + z*2*step],[-3*step + x*2*step,-step + y*2*step,-3*step + z*2*step],0,0,"#FF0000");backLayer.addChild(rect);}}//上for(var x=0;x<3;x++){for(var z=0;z<3;z++){y = 0;var rect = new Rect([-3*step + x*2*step,-3*step + y*2*step,-3*step + z*2*step],[-step + x*2*step,-3*step + y*2*step,-3*step + z*2*step],[-step + x*2*step,-3*step + y*2*step,-step + z*2*step],[-3*step + x*2*step,-3*step + y*2*step,-step + z*2*step],0,0,"#FFFFFF");backLayer.addChild(rect);}}//下for(var x=0;x<3;x++){for(var z=0;z<3;z++){y = 3;var rect = new Rect([-3*step + x*2*step,-3*step + y*2*step,-3*step + z*2*step],[-step + x*2*step,-3*step + y*2*step,-3*step + z*2*step],[-step + x*2*step,-3*step + y*2*step,-step + z*2*step],[-3*step + x*2*step,-3*step + y*2*step,-step + z*2*step],0,0,"#FFFF00");backLayer.addChild(rect);}}//左for(var y=0;y<3;y++){for(var z=0;z<3;z++){x = 0;var rect = new Rect([-3*step + x*2*step,-3*step + y*2*step,-3*step + z*2*step],[-3*step + x*2*step,-3*step + y*2*step,-step + z*2*step],[-3*step + x*2*step,-step + y*2*step,-step + z*2*step],[-3*step + x*2*step,-step + y*2*step,-3*step + z*2*step],0,0,"#008000");backLayer.addChild(rect);}}//右for(var y=0;y<3;y++){for(var z=0;z<3;z++){x = 3;var rect = new Rect([-3*step + x*2*step,-3*step + y*2*step,-3*step + z*2*step],[-3*step + x*2*step,-3*step + y*2*step,-step + z*2*step],[-3*step + x*2*step,-step + y*2*step,-step + z*2*step],[-3*step + x*2*step,-step + y*2*step,-3*step + z*2*step],0,0,"#0000FF");backLayer.addChild(rect);}}backLayer.addEventListener(LEvent.ENTER_FRAME,onframe);}function onframe(){a += 0.1 , b += 0.1;backLayer.childList = backLayer.childList.sort(function(a,b){return a.z - b.z;});for(key in backLayer.childList){backLayer.childList[key].setAngle(a,b);backLayer.childList[key].draw(backLayer); }}
這隻是一個非常簡陋的3D模型,多謝大家捧場。