Another Polyhedron

 

 

 

Now first we must remember the formula: V - E + F = 2

 

Now let us look at V. V is the number of vertices, shown below:

 

 

 

So V = 6

 

Now let us look at E. E is the number of edges, shown below:

 

 

 

So E = 12

 

Now let us look at F. F is the number of faces, shown below:

 

 

This is a close up of four of the faces

 

 

 

Here are the final four faces

 

 

 

Please note that this is not a face because it is all on the interior.

 

So the number of F = 8

 

To finish up we should plug back into the formula: V - E + F = 2 and solve when V = 6, E = 12, and F = 8...we get 6 - 12 + 8 = 2. And this works

 

Go back to Euler Problem