Question

9. Your friend has challenged you to create a convex polyhedron containing (a) Is it possible to build such a polyhedron using only these shapes? Ex- (b) You decide to also include one heptagon (seven-sided polygon). How 9 triangles and 6 pentagons. plain. many vertices does your new convex polyhedron contain? (c) Assuming you are successful in building your new 16-faced polyhedron, could every vertex be the joining of the same number of faces? Could each vertex join either 3 or 4 faces? If so, how many of each type of vertex would there be?

Answer 1

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