A polyhedron is a simple closed surface in space whose boundary is composed of polygonal regions (see Figure 8.31). A rather surprising relationship exists among the number of vertices, edges, and faces of polyhedra. See if you can discover it by looking for patterns in the figures and filling in the blanks.

Figure 8.31

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Triangular Quadrilateral pyramid pyramid Regular hexahedron Regular (cube) Pentagonal Regular pyramid tetrahedron Regular Regular octahedron dodecahedron icosahedron