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Question: problem 8 consider the tetrahedron depicted in figure 2 it...

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Problem 8. Consider the tetrahedron depicted in Figure 2, it is a convex polyhedron composed of four triangular faces, six straight edges, and four vertex corners as drawn By definition, a symmetry of the tetrahedron is any spatial rotation along an axis (of any angle) or any spatial reflection (along any plane) which sends the tetrahedron to itself. A symmetry can thus exchange the vertices, edges and faces of the tetrahedron between them, but must in the end preserve the total shape of the tetrahedron itself as it sits in space. Show that the number of symmetries of the tetrahedron is 24. FIGURE 2. The Tetrahedron, one of the five Platonic Solids.
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