Mathematics and Society - OS X Lion Server

Find a soccer ball. The Physical Education teacher may have one you can borrow.A soccer ball is a three-dimensional mathematicalmodel called a polyhedron.VERTICES(a) The ball is made using two different polygonsfor faces.What are the 2 shapes?How many of each shape are on a soccer ball?EDGES """"~-How many total faces are on a soccer ball?b) A vertex is a point where 3 of these faces meet. Look at one vertex of the soccerball.How many 6-sided faces touch that vertex?How many 5-sided faces? (Look at other vertices and count the polygons that touch each one. Describe yourfindings.Count the vertices on the soccer ball. How many are there?How can you figure a way to get the total without counting all of them?c) Edges are formed when any two of the polygons meet. Count the edges to find thetotal number on the soccer ball.How can you make sure you don't countan edge twice?d) Imagine an insect crawling along the edges of the soccer ball. Could it crawl alongeach edge and return to its starting point, without crawling on any edge more thanonce?388(