NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Geographical Center Problem
From: Steven Tripp
Date: 2001 Jul 25, 1:04 AM
From: Steven Tripp
Date: 2001 Jul 25, 1:04 AM
On 7/25/01 12:52 PM, "Dan Allen"wrote: > I have summarized the results so far on a new web page of mine. > > http://www.nwlink.com/~danallen/center.htm > > The center is currently located somewhere in Hudson Bay, which for some > reason doesn't seem right. I am going to keep studying this interesting > geographical problem. Given a set of locations you can generate a matrix consisting of distances between location n1 and n1...nx, n2 and n1...nx, etc. The sum of the rows will be the total distance between one location and all the others. Sample data based on "perceived distances" between American cities. 0 2.93 1.37 0.67 1.56 2.3 2.68 2.03 1.51 0.83 Atlanta 15.05 2.93 0 2.6 3.35 2.2 0.92 0.62 0.96 2.6 2.97 Seattle 16.18 1.37 2.6 0 1.5 1.09 2.97 2.6 2.34 0.46 0.55 NewYork 14.93 0.67 3.35 1.5 0 2.15 2.61 3.13 2.8 1.64 1.25 Miami 17.85 1.56 2.2 1.09 2.15 0 2.39 2.04 1.29 1.32 1.39 Chicago 14.04 2.3 0.92 2.97 2.61 2.39 0 0.37 0.92 3.26 2.68 LosAngeles 15.74 2.68 0.62 2.6 3.13 2.04 0.37 0 0.91 2.74 2.55 SanFrancisco 15.09 2.03 0.96 2.34 2.8 1.29 0.92 0.91 0 2.55 2.22 Denver 13.8 1.51 2.6 0.46 1.64 1.32 3.26 2.74 2.55 0 0.81 Boston 16.08 0.83 2.97 0.55 1.25 1.39 2.68 2.55 2.22 0.81 0 WashDC 15.25 Denver is the most central and Miami is the most non-central. This assumes you use only known locations. Steve Tripp