There will be pictures shown here soon.

The octahedron has 6 vertices. The octahedron fractal grows in powers of 6. Six octahedra can be put together to form another octahedron with volume removed. Six stage-1 octahedron fractals can be put together to form a stage-2 octahedron fractal that still has the exterior shape of an octahedron. This process can go on and on.

I keep emphasizing that the Platonic solids (the dodecahedron, cube, icosahedron, octahedron, and tetrahedron) are the only polyhedra with this special property that allows them to be connected to form another such structure with volume removed. No other polyhedra have this property.

Pictures to come soon!

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