Traditional Culture Encyclopedia - Photography major - How many pieces of black and white leather are there on the football?

How many pieces of black and white leather are there on the football?

A football has 32 skins, usually black and white, 12 pentagons and 20 hexagons.

Black is a regular pentagon and white is a regular hexagon.

Let the black skin block X be the white skin block 32-X, the number of vertices V and the number of edges E, and the equation is:

5x+(32-x)*6=E*2 (two skins on each side * * *)

5x+(32-x)*6=V*3 (3 skins per vertex * * *)

V+32-E=2 (Euler formula)

The solution is x= 12.

So the black Pentagon is 12 and the white hexagon is 20.