Question

In: Advanced Math

A soccer ball has 32 faces, each of which is a regular pentagon or hexagon. Because...

A soccer ball has 32 faces, each of which is a regular pentagon or hexagon. Because of the angles involved, exactly three faces meet at each corner. Without looking at the ball, determine how many of each type of face there are.

Solutions

Expert Solution

To prove this we will use Euler's Formula


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