Below you will find an interesting math problem. If there is enough interest, and no one will get the solution, I will post the solution in a few days. Hint: use imaginery numbers.

There is a treasure burried on a deserted island. Here are the instructions to the place where you can dig for the treasure. On one of the island's meadows on the north shore two trees stand; an ancient oak, and an ancient pine. There is also an old gallows. Start at the gallows and walk to the oak counting the steps. At the oak turn right by a right angle and take the same number of steps. Put a spike in the ground at this point. Now return to the gollows. Now walk to the pine and count the steps. At the pine turn left by a right angle and take the same number of steps. Put another spike here. Dig halfway between the spikes; the treasure is there.

You get to the island, but in time, the weather has destroyed the gallows; not even a trace of them is to be found. How do you find the treasure?

EDIT:: there is an answer!