NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Longest Straight Line Paths on Water or Land on the Earth
From: Alexandre Eremenko
Date: 2018 Apr 23, 20:21 +0000
From: Alexandre Eremenko
Date: 2018 Apr 23, 20:21 +0000
Without any algorithm, or complicated science it seems easy to guess that the
longest path on water will go
from the North pole through the Bering strait to Antarctida.
Alex.
________________________________________
From: NavList@navlist.net [NavList@navlist.net] on behalf of Robert H. van Gent
[NoReply_RobertH.vanGent@navlist.net]
Sent: Monday, April 23, 2018 3:01 PM
To: eremenko@math.purdue.edu
Subject: [NavList] Longest Straight Line Paths on Water or Land on the Earth
Perhaps of interest
https://arxiv.org/abs/1804.07389
Rohan Chabukswar & Kushal Mukherjee: Longest Straight Line Paths on Water or Land on the Earth
Summary:
There has been some interest recently in determining the longest distance
one can sail for on the earth without hitting land, as well as in the
converse problem of determining the longest distance one could drive for on
the earth without encountering a major body of water. In its basic form, this
is an optimisation problem, rendered chaotic by the presence of islands and
lakes, and indeed the fractal nature of the coasts. In this paper we present
a methodology for calculating the two paths using the branch-and-bound
algorithm.
Rob van Gent
