A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Position-Finding
From: Frank Reed
Date: 2017 Dec 4, 09:20 -0800
Andrew Nikitin, you wrote:
"Let's say, Santa has a vacation property (which is not in the North pole, or even in the Arctic) with the same property: go 10 miles south, 10 east and 10 north, end up where you started. Where is it?"
Hmm... I suppose Professor Claus could be at some location near the south pole. In fact, an infinite number of locations? If Santa starts at 10+5/pi miles from the south pole and then walks south for ten miles followed by east for ten miles, he ends up doing one perfect circular lap around the south pole. So when he walks north ten miles, he's right back where he started. And then it's obvious that I can replace 5/pi by 5/pi/N where N is any counting number, and Santa makes N laps around the pole before heading back to his starting point.
Fun! I have never heard this one before. Thank you for bringing it up. ...er... this is what you meant, right??