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[0] + pSrc[1])*0.5f;
    Vector3 v02 = (pSrc[0] + pSrc[2])*0.5f;
    Vector3 v03 = (pSrc[0] + pSrc[3])*0.5f;
    Vector3 v12 = (pSrc[1] + pSrc[2])*0.5f;
    Vector3 v13 = (pSrc[1] + pSrc[3])*0.5f;
    Vector3 v23 = (pSrc[2] + pSrc[3])*0.5f;

    pDest[0]  = pSrc[0];
    pDest[1]  = v01;
    pDest[2]  = v02;
    pDest[3]  = v03;

    pDest[4]  = pSrc[1];
    pDest[5]  = v01;
    pDest[6]  = v12;
    pDest[7]  = v13;

    pDest[8]  = pSrc[2];
    pDest[9]  = v02;
    pDest[10] = v12;
    pDest[11] = v23;
    
    pDest[12] = pSrc[3];
    pDest[13] = v03;
    pDest[14] = v13;
    pDest[15] = v23;
}

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