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Net (polyhedron)

Edge-joined polygons which fold into a polyhedron / From Wikipedia, the free encyclopedia

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In geometry, a net of a polyhedron is an arrangement of non-overlapping 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 physical models of polyhedra to be constructed from material such as thin cardboard.[1]

A net of a regular dodecahedron
The eleven nets of a cube

An early instance of polyhedral nets appears in the works of Albrecht Dürer, whose 1525 book A Course in the Art of Measurement with Compass and Ruler (Unterweysung der Messung mit dem Zyrkel und Rychtscheyd ) included nets for the Platonic solids and several of the Archimedean solids.[2] These constructions were first called nets in 1543 by Augustin Hirschvogel.[3]