Net (Polyhedron)
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 dihedr...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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).
