HW 4 - Due Friday Feb 3

Do all of the problems indicated.  Write up and turn in the starred problems.  Your solutions should be written clearly so that a fellow UGA student could fully understand your answer.  Include pictures as needed.  Each problem will be graded out of 5 points.

Read sections 8.7, 9.1, and 9.2.
In 8.7, be sure to visualize in your mind the Platonic solids. Think about their properties and symmetry.

8.7
Practice pp. 378-379 2, 4, 5, 6 (You might care to try cutting out equilateral triangles and assembling them as indicated in #6)

Problems pp. 381-383 5, 6, 8, 10, 11, 12*, 14*, 15 (You might care to also do #16 for fun.)

Bonus (1 point): The polyhedron in the Magic 8 Ball has an equilateral triangle for each of its faces. Each vertex of this polyhedron has five edges incident to it. Using what you know about the relationship between the numbers of vertices, edges, and faces of a polyhedron (we'll get to this on Monday), determine the number of faces that this polygon has. What shape must this polyhedron be? Explain.

I think we'll delay assigning problems from chapter 9 until next week. My apologies for not posting this earlier.

Here are some solutions I thought were nice.