Now, I have to admit, I haven't started documenting this at the absolute beginning. I have already drunk and sober attempted this puzzle. My flatmate has too. However, I am beginning now to look for patterns.
I have chosen to look exclusively at the clubs, there are three outer and five inner clubs. That means that in all eventualities there can never be any clubs sticking out. If I can learn this type of fact about each shape, I may be on to something.
EDIT: Just as I posted this, I doubled checked to see if I had properly checked the number of clubs, and alas I had not! There are in fact four outer clubs, not three, meaning only ONE inward club will be on the outside of the square. This is not going to be so simple, I'm sure...
EDIT AGAIN!! OH MY GOD! I am wrong again, on closer inspection there are SIX inner and only THREE outer. I can't even get to grips with counting.
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