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