[FRIAM] Great Circle

thompnickson2 at gmail.com thompnickson2 at gmail.com
Sun Sep 19 23:34:47 EDT 2021


These are fun.  If you  extend the shortest route from Charlotte to Honolulu you end up  in New Zealand.   But if you look for shortest route from Charlotte to New Zealand, it is essentially [slightly sigmoid] straight line passing through Central America.  And if you look at the route from NZ to S. Africa, it’s a Walmart happy face with it’s chin on the coast of Antartica.  

 

Nick Thompson

 <mailto:ThompNickSon2 at gmail.com> ThompNickSon2 at gmail.com

 <https://wordpress.clarku.edu/nthompson/> https://wordpress.clarku.edu/nthompson/

 

From: Friam <friam-bounces at redfish.com> On Behalf Of Roger Frye
Sent: Sunday, September 19, 2021 10:24 PM
To: The Friday Morning Applied Complexity Coffee Group <friam at redfish.com>
Subject: Re: [FRIAM] Great Circle

 

The basic insight is that the central limit of random walks from any point in a soap bubble (whose surface is a harmonic potential function) to the boundary will generate the harmonic function.

 

 

On Sun, Sep 19, 2021 at 7:53 PM Jon Zingale <jonzingale at gmail.com <mailto:jonzingale at gmail.com> > wrote:

"Is this related, at some level, to..."

 

Oh yeah, like in classical geometric probability. Yeah, I wonder too.


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