High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! In geometry the net of a polyhedron is an arrangement of edge-joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron. Polyhedral nets are a useful aid to the study of polyhedra and solid geometry in general, as they allow for models of polyhedra to be constructed from material such as thin cardboard. It is a long-standing open question whether or not every convex polyhedron P (one without "dents" – in other words, all dihedral angles between the edges are ? 180 degrees) has a net: whether the surface P may be cut along edges and unfolded flat to a planar polygon (without overlap).

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