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Four - including the base.

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That is if it is a tetrahedron. A pyramid is a generic term used to describe a polyhedron with a polygonal base and a number of triangles rising from that base to meet at an apex. A pyramid whose base is a polygon with n-sides (or vertices) has n+1 faces, n+1 vertices and 2n edges, where n ≥ 3.

So, for example, a pentagon based pyramid would have 5 triangles, an octagon based one would have 8.

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