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A seemingly simple math problem!
A: black leather (pentagon)12; 20 pieces of white leather (hexagon).

Reason:

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.

or

(1) Black leather * * * has several sides first: 12×5=60. These 60 edges are stitched together with white leather. For white leather, three of the six sides of each white leather are sewn together with the side of the black leather, and the other three sides are sewn together with the sides of other white leather, so half of all the sides of the white leather are sewn together with the black leather, so the white leather should have 60× 2 = 65438+.

(2) Black leather 12 pieces. Let's first calculate how many faces there are in black leather: 12×5=60 pieces. There are 12×5÷3=20 white skins, because there are 12 regular pentagons, and each regular pentagon has five regular hexagons around it, so it is 12×5. However, we didn't consider that there are three regular pentagons around each regular hexagon. If you do this calculation, the number of regular hexagons will be repeated three times, so you have to divide the answer by three to get the correct answer.

Just change it to black and white. Please forgive me for copying. . . . . . . . . . .