platonic solids

The Platonic Solids are regular space figures. They are regular because the same number of faces meet at the same angles at each vertex and identical polygons meet at the same angle at each edge. They are only five Platonic Solids:

 

 

 

Exercise:

- count the number of vertices of each solid, V

- count the number of edges of each solid, E

- count the number of faces of each solid, F

- calculate: V - E + F for each solid

What is the result?

Are some of them the same?

 

 

 

 

 

Solutions: 2 for every solid. You can look for more information about this topic in: http://en.wikipedia.org/wiki/Euler_characteristic