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twisted pyramid (.PDF)
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Definition of a Pyramid: A pyramid is a polyhedron with one face (known as the "base") a polygon and all the other faces triangles meeting at a common polygon vertex (known as the "apex"). A right pyramid is a pyramid for which the line joining the centroid of the base and the apex is perpendicular to the base. A regular pyramid is a right pyramid whose base is a regular polygon. An n-gonal regular pyramid (denoted Yn) having equilateral triangles as sides is possible only for n=3, 4, 5. These correspond to the tetrahedron, square pyramid, and pentagonal pyramid, respectively.
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