分形之谢尔宾斯基(Sierpinski)四面体

前面讲了谢尔宾斯基三角形,这一节的将对二维三角形扩展到三维,变成四面体.即将一个正四面体不停地拆分,每个正四面体可以拆分成四个小号的正四面体.由二维转变到三维实现起来麻烦了许多。三维的谢尔宾斯基四面体看上去比谢尔宾斯基三角形更像坟冢。

核心代码:

static void SierpinskiTetrahedron(const Vector3* pSrc, Vector3* pDest)
{
    Vector3 v01 = (pSrc[] + pSrc[])*0.5f;
    Vector3 v02 = (pSrc[] + pSrc[])*0.5f;
    Vector3 v03 = (pSrc[] + pSrc[])*0.5f;
    Vector3 v12 = (pSrc[] + pSrc[])*0.5f;
    Vector3 v13 = (pSrc[] + pSrc[])*0.5f;
    Vector3 v23 = (pSrc[] + pSrc[])*0.5f;

    pDest[]  = pSrc[];
    pDest[]  = v01;
    pDest[]  = v02;
    pDest[]  = v03;

    pDest[]  = pSrc[];
    pDest[]  = v01;
    pDest[]  = v12;
    pDest[]  = v13;

    pDest[]  = pSrc[];
    pDest[]  = v02;
    pDest[] = v12;
    pDest[] = v23;

    pDest[] = pSrc[];
    pDest[] = v03;
    pDest[] = v13;
    pDest[] = v23;
}

软件下载地址:http://files.cnblogs.com/WhyEngine/Fractal.7z