Filling a Tetrahedron with Infinitely Many Octahedra

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Take an octahedron and place smaller octahedra on four of its faces. Repeat this on the placed octahedra ad infinitum to fill a tetrahedron. The first three stages are shown here.

Contributed by: Sándor Kabai (October 2014)
Open content licensed under CC BY-NC-SA


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