South Sydney Puzzle – October 2018

A traditional soccer ball consists of 12 pentagonal (five-sided) and 20 hexagonal (six-sided) panels, with exactly three panels meeting at each corner.

Illustration: Stephen Pickells

Illustration: Stephen Pickells


If you imagine a soccer ball punctured and stretched out flat, it would look like this.

Figure A

Figure A

You can count 19 hexagons in the diagram – the 20th is the hexagonal boundary of the

whole figure.


If you have 12 pentagons but no hexagons, you could draw the following.

Figure B pentagons only

Figure B pentagons only

Note again that the 12th pentagon is the boundary of the whole figure.


Can you draw a similar picture which contains 12 pentagons and 2 hexagons?


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