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Here's a surprising way to create this model. Start with the
truncated octahedron (shown top left). Change
to a view of the stellation and hit the Up-arrow twice to get
the stellation shown here (top right). Enter Create Facets Mode
and create the two facets shown (top right and bottom left). Use
"Poly>Create Faceted Polyhedron" to create the compound of
4 octahedra (bottom right). "Color>Color as a Compound"
can be used to render each octahedron in its own color. Then the dual
of this model is the 4-cube compound.
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Compound of 4 Cubes