NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Setting a course when sailing into the wind.
From: Frank Reed
Date: 2016 Jul 27, 18:06 -0700
From: Frank Reed
Date: 2016 Jul 27, 18:06 -0700
It's an example of taxicab geometry! That's a type of simple metric space considered by Hermann Minkowski that's intriguing from a purely mathematical perspective.Sure, all the paths through the Manhattan street grid --a model for "taxicab geometry"-- are the same in principle, but in a real "taxicab" world, it all comes down to the time spent at stop lights. A key take-away in either the pure mathematical case or a model closer to real world with stops and traffic is that a path clos to the usual Euclidean straight shortest path offers no actual advantage.
Frank Reed