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Mathematical problems in football
1 regular pentagon (black skin) and regular hexagon (white skin)

2 is a plane if and only if the sum of several internal angles of the vertex of * * * is 360 degrees, while in football, each vertex has two regular hexagons and 1 regular pentagons, and the sum of internal angles is 348 degrees, so it can't be a plane.

3. There are different kinds of figures, including 12 regular pentagons and 20 regular hexagons.

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+.