The dual
of a polyhedron
can be constructed in several different ways. One way is to take the centers of the faces of
as the vertices of
. Two vertices of
and
of
are joined by an edge if the original faces
and
of
had an edge in common. The faces of
that met at a vertex
become the vertices of the polygon forming a face
in
. Other ways to construct a dual are to rotate the original polyhedron's sides by 90°, to truncate its vertices or edges, or to stellate it.
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