Fractal of the Sierpinski triangle

The serbinski triangle (Sierpinski triangle) is a kind of fractal. It was proposed by Polish mathematician shelbinski in 1915. It is a typical self-similar set. Some materials refer to it as sherbinski's grave.

The generation process is as follows:

1. Take a solid triangle. (Most use equilateral triangles)
2. Divide the line along the three sides into four small triangles.
3. Remove the small triangle in the middle.
4. Repeat 1 for the remaining three small triangles.

Core code:

static void SierpinskiTriangle(const Vector3& v1, const Vector3& v2, const Vector3& v3, Vector3* pVertices){    Vector3 v12 = (v1 + v2)*0.5f;    Vector3 v13 = (v1 + v3)*0.5f;    Vector3 v23 = (v2 + v3)*0.5f;    pVertices[0] = v1;    pVertices[1] = v12;    pVertices[2] = v13;    pVertices[3] = v2;    pVertices[4] = v23;    pVertices[5] = v12;    pVertices[6] = v3;    pVertices[7] = v13;    pVertices[8] = v23;}

Software: http://files.cnblogs.com/WhyEngine/Fractal.7z

 

Fractal of the Sierpinski triangle