Question 5 5. An Archimedean solid called snub cube (figure 7) has 32 triangular faces and 6 square faces as well as 24 vertices. Calculate how many edges it has. Figure 7: Snub cube [3]
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Given a polyhedron with 12 faces and 30 edges, how many vertices does it have? 20 40 44 32
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Vital statistics a) How many vertices, edges, triangular faces, and square faces does a snub cube have? To find the answer to this question, you should use the fact that the snub cube is constructed from the cube by exploding and twisting its faces and filling in the resulting gaps with equilateral triangles. And you should calculate the numbers we are after in terms of the numbers of the vertices, edges, and faces of a cube. Only writing down numbers that you looked up somewhere will get you no marks :) b) Do the same for the following semi-regular polyhedron. You can think of this semi-regular polyhedron as a modified dodecahedron, with its twelve regular 10-gon faces essentially distributed around the polyhedron as the regular pentagons in a dodecahedron.
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