Fractal Tetrahedron

A tetrahedron is divided into four tetrahedra and one octahedron. Then each tetrahedron is divided again in the same way. This process could be continued to form a fractal structure. A face of the divided tetrahedron would become a Sierpinski sieve and the 3D tetrahedral parts would form a tetrix (or Sierpinski sponge).

External Links

Tetrahedron (Wolfram MathWorld)
Octahedron (Wolfram MathWorld)
Fractal (Wolfram MathWorld)
Sierpinski Sieve (Wolfram MathWorld)
Tetrix (Wolfram MathWorld)

Permanent Citation

Sándor Kabai
​
​"Fractal Tetrahedron"​
​http://demonstrations.wolfram.com/FractalTetrahedron/​
​Wolfram Demonstrations Project​
​Published: May 14, 2007