Knossos Games

If you like this puzzle,
you might also like...

solution


Wind Farm Puzzle 10 Solution


detailed solution

The maximum number of turbines that can be placed on this plot of land is 17, with a 6 + 5 + 6 arrangement (better than the alternative 5 + 6 + 5 arrangement, which is only 16 turbines).

Wind Farm Puzzle 10 Detailed Solution Part A

Because there is some extra space available, top to bottom, we can shift groups of turbines up and down to cover as many windier areas as possible. Note how the interlocking nature of the wind turbine footprints force entire sections of turbines to move together.

Wind Farm Puzzle 10 Detailed Solution Part B

Is it possible to remove turbines in order to create enough room to move others to windier areas, thus increasing the energy output? In short, no. Here are two examples of attempts to do just that. On the left, two turbines have to be removed in order to just move one turbine to a windier area, a net loss of 1.5 units of energy. On the right, three turbines have to be removed in order to move two turbines to windier areas, a net loss of 2 units of energy.


Wind Farm Puzzle 10 Detailed Solution Part C

Basically, because of the interlocking nature of the turbine footprints, too many turbines have to be removed in order to disrupt the footprint pattern and move other turbines to windier areas. In other words, there just aren’t enough windier areas to justify removing turbines.