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12

Part of 2020 Malaysia IMONST 1

Problems(1)

Malaysia IMONST 1 Senior P12

Source:

9/18/2020
A football is made by sewing together some black and white leather patches. The black patches are regular pentagons of the same size. The white patches are regular hexagons of the same size. Each pentagon is bordered by 5 hexagons. Each hexagons is bordered by 33 pentagons and 33 hexagons. We need 1212 pentagons to make one football. How many hexagons are needed to make one football?
pentagonhexagon