This is my own invention. It is one of my studies in 3 dimensionalizing the tradition Metatron's Cube design. The evidence that this is a good representation of the 3D form (minus the connecting lines which make it a bit cluttered, though I have printed it this way), is that if you cut this in half along any of its 4 great circles, you would reveal the circles of the 2D Metatron's Cube within. Making each of the small spheres into the same cuboctahedral geometry as the whole form gives it a fractal quality. The 12 spheres surrounding the center...
The full color version of the 64 tetrahedron grid makes it easy to see the main geometries that form a pattern within it. There is an outer large red tetrahedron pointing up, and a blue pointing down. There is a large purple (pink?) cuboctahedron between them. At the centre 6 white lines meet to show the symettry axes. Surrounding the center there is a yellow octahedron containing a smaller green cuboctahedron. The rest of the form is made of black octahedrons. Together these reveal the core hexagonal/triangular/cubic symmetries of 3D space in the same way the flower of life reveals...