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Compound of Cube and Octahedron

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This is a compound of the cube and its dual, the octahedron. It may be constructed using Great Stella in at least three different ways. As a stellation of the cuboctahedron. As a faceting of the rhombic dodecahedron. Or by adding either the cube or the octahedron to its dual via the menu item "Poly→Add Base Model and Dual".

As a stellation of the cuboctahedron, here are the stellation cells exploded apart slightly. You can see the original cuboctahedron in blue in the middle.
After printing out the main nets, I also printed out a bunch of squares and triangles to glue into the base of each peak as shown.
The peaks are then glued together just like building a cuboctahedron.

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