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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link=blue vlink=purple style='word-wrap:break-word'><div class=WordSection1><p class=MsoNormal>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. <o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Nick Thompson<o:p></o:p></p><p class=MsoNormal><a href="mailto:ThompNickSon2@gmail.com"><span style='color:#0563C1'>ThompNickSon2@gmail.com</span></a><o:p></o:p></p><p class=MsoNormal><a href="https://wordpress.clarku.edu/nthompson/"><span style='color:#0563C1'>https://wordpress.clarku.edu/nthompson/</span></a><o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><div style='border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0in 0in 0in'><p class=MsoNormal><b>From:</b> Friam <friam-bounces@redfish.com> <b>On Behalf Of </b>Roger Frye<br><b>Sent:</b> Sunday, September 19, 2021 10:24 PM<br><b>To:</b> The Friday Morning Applied Complexity Coffee Group <friam@redfish.com><br><b>Subject:</b> Re: [FRIAM] Great Circle<o:p></o:p></p></div><p class=MsoNormal><o:p> </o:p></p><div><p class=MsoNormal>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.<o:p></o:p></p><div><p class=MsoNormal><o:p> </o:p></p></div></div><p class=MsoNormal><o:p> </o:p></p><div><div><p class=MsoNormal>On Sun, Sep 19, 2021 at 7:53 PM Jon Zingale <<a href="mailto:jonzingale@gmail.com">jonzingale@gmail.com</a>> wrote:<o:p></o:p></p></div><blockquote style='border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-right:0in'><div><div><p class=MsoNormal><span style='font-size:12.0pt;font-family:"Verdana",sans-serif;color:#333333'>"</span><span style='font-size:12.0pt;font-family:"Verdana",sans-serif;color:black'>Is this related, at some level, to..."</span><span style='font-size:12.0pt;color:#333333'><o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:12.0pt;color:#333333'><o:p> </o:p></span></p></div><div><p class=MsoNormal><span style='font-size:12.0pt;font-family:"Verdana",sans-serif;color:black'>Oh yeah, like in classical geometric probability. Yeah, I wonder too.</span><span style='font-size:12.0pt;color:#333333'><o:p></o:p></span></p></div></div><p class=MsoNormal><br>.-- .- -. - / .- -.-. - .. --- -. ..--.. / -.-. --- -. .--- ..- --. .- - .<br>FRIAM Applied Complexity Group listserv<br>Zoom Fridays 9:30a-12p Mtn UTC-6 <a href="http://bit.ly/virtualfriam" target="_blank">bit.ly/virtualfriam</a><br>un/subscribe <a href="http://redfish.com/mailman/listinfo/friam_redfish.com" target="_blank">http://redfish.com/mailman/listinfo/friam_redfish.com</a><br>FRIAM-COMIC <a href="http://friam-comic.blogspot.com/" target="_blank">http://friam-comic.blogspot.com/</a><br>archives:<br> 5/2017 thru present <a href="https://redfish.com/pipermail/friam_redfish.com/" target="_blank">https://redfish.com/pipermail/friam_redfish.com/</a><br> 1/2003 thru 6/2021 <a href="http://friam.383.s1.nabble.com/" target="_blank">http://friam.383.s1.nabble.com/</a><o:p></o:p></p></blockquote></div></div></body></html>