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The Cube-octahedron is a key shape for understanding the geometry of 3D space. It belongs to a family of cubic forms that includes the cube, octahedron, star tetrahedron, 64 tetrahedron grid, Metatron's Cube, the Flower of Life, the Rhombic Dodecahedron, and more.
Here a smaller one is nested inside the larger one and each of their vertices is a smaller spherical cubeoctahedron.
It is also a study for the 3D Metatron's Cube as the spheres surround the central sphere in the same manner, and if you hold the form at the right angle you can see the Metatron's Cube projection.
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