A theoretical question which thought about instead of writing my C++ code. I know it is poorly defined however I am now intrigued as to the answer!
If you got into a boat in the middle of the sea before sunrise, and as the sun cam up sailed directly towards it, and continued to do so throughout the day until you were heading west in the evening at sunset, and then stopped at sun down. Repeat this for say a week/month, then look on a GPS device as to the path you have traveled, what shape would your path/footprint be?
Everyone I have asked has come up with a different answer, and short of buying a boat not sure how to work it out.