【Question 8】
As shown in the figure, a football is made by sewing 32 pieces of leather. Among them, each white piece is a regular hexagon, and each black piece is a regular pentagon. Each white piece is adjacent to three black pieces and three white pieces, and each black piece is adjacent to five white pieces. How many pieces of leather are white?
【Analysis and Solution】
First, find the equation of equality:
The number of edges in the middle of white patches shared with black patches = the number of edges in the middle of black patches shared with white patches;
Let there be $x$ white patches on this football;
$$
3 x=5(32-x)
$$

Solving for $x$ gives $x=20$;
There are 20 white patches in total.
(Method Two)
In the unfolded diagram, if a segment is a common edge of two faces, it corresponds to an edge of the polyhedron; if it is not a common edge of two faces, then two segments correspond to one edge of the polyhedron;
Therefore, this polyhedron has $6+18 \div 2=15$ edges.