This puzzle appeared in Microsoft Intern PuzzleDay 2005, whose theme was pirates.
At the start of the event,
we gave each team 24 pieces of paper in a plastic bag.
You'll have to cut out those pieces yourself.
The computer hex rule relates to color.
The octopus rule relates to proximity.
The quadruple rule relates to colors.
The dual rule relates to symmetry.
The one rule relates to size.
Each bold word in a rule description clues a power of two.