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Ricardo Andrade
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Space packing fraction of tetrahedron and octahedron

If four equal size spheres form close-packed tetrahedron, what is the fraction of space that is occupied/unoccupied by the spheres in the tetrahedron.

Similarly, if six equal size spheres form close-packed octahedron, what is the fraction of space that is occupied/unoccupied by the spheres in the octahedron.