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Equiprojective polyhedra

Convex polyhedron property From Wikipedia, the free encyclopedia

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In mathematics, a convex polyhedron is defined to be -equiprojective if every orthogonal projection of the polygon onto a plane, in a direction not parallel to a face of the polyhedron, forms a -gon. For example, a cube is 6-equiprojective: every projection not parallel to a face forms a hexagon, More generally, every prism over a convex is -equiprojective.[1][2] Zonohedra are also equiprojective.[3] Hasan and his colleagues later found more equiprojective polyhedra by truncating equally the tetrahedron and three other Johnson solids.[4]

Hasan & Lubiw (2008) shows there is an time algorithm to determine whether a given polyhedron is equiprojective.[5]

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