Octahedron Fractal

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Six octahedra are placed at the vertices of a larger octahedron. The voids within the large octahedron are filled with tetrahedra to form a composite solid octahedron, which is then placed at the vertices of yet another octahedron, and the voids again are filled with tetrahedra. This process constitutes two stages of a fractal structure. Separate the parts in stage 1 or stage 2 to see how the fractal is assembled.
Contributed by: Sándor Kabai and Ferenc Holló Szabó (June 2007)
Open content licensed under CC BY-NC-SA
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"Octahedron Fractal"
http://demonstrations.wolfram.com/OctahedronFractal/
Wolfram Demonstrations Project
Published: June 12 2007