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Compound of Cube and Octahedron

This is a compound of the cube and its dual, the octahedron. Using Great Stella 2.0 it may be constructed 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".

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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