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<p>Answering my own earlier question (with props) it seems that a
(smooth) globe and piece of string would be good support for an
intuitive approach. My sister made a "hanging string lampshade"
in 3rd grade by wrapping cotton string soaked in glue around a
large balloon and letting it dry. I inherited it when she went
into middle school and was "too cool" for it anymore. I would
lay in bed and stare at it, remembering the challenges (I helped
wrap the string) of getting the slick string to do *anything* but
following near-great-circles. The shadows it cast on the walls
(and furniture) might have been my first awareness of projective
geometry... I abandoned it when I went to college.<br>
</p>
<p>I assume (REC?) that early age-of-exploration navigators were
more constrained by trade-winds and convenient
resupply/port-of-call than great-circles, though misunderstanding
spherical geometry would be very inconvenient. <br>
</p>
<p>I also believe that Polynesian stick charts would have
great-circleness (or more-to-the-point shortest time paths) built
into them by their nature, not any arcane understanding of
spherical (ellipsoidal) geometry. I'm sure they have been studied
quite thoroughly.<br>
</p>
<p><br>
</p>
<div class="moz-cite-prefix">On 9/19/21 3:36 PM, Stephen Guerin
wrote:<br>
</div>
<blockquote type="cite"
cite="mid:CAOmOqnL+fH7MN=mkN=+vpqJ4NjQFQFEOyFkQrBvRKk4JyCvV0g@mail.gmail.com">
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<div dir="ltr">In the early 90s, my expat friends in Beijing would
often debate which were the closer US Cities to Beijing by
eyeballing the globe - wish we had this too for easy lookup back
then. Of course, we could have used lat/longs and calculated
haversine distances but we had pints to drink - and frankly it
would have been difficult for me to find the algorithm in the
nascent web back then ;-)<br>
<br>
<a
href="https://www.greatcirclemap.com/globe?routes=%20PEK-SEA%2C%20PEK-LAX%2C%20PEK-DET%2C%20PEK-SAN%2C%20PEK-MSP%2C%20PEK-YYZ%2C%20PEK-EWR%2C%20PEK-ORD%2C%20PEK-ANC%2C%20PEK-BGR%2C%20PEK-HNL"
target="_blank" moz-do-not-send="true">Beijing (PEK) Great
Circle Distances for 10 US cities</a><br>
<br>
<img src="cid:part2.6AA9EAAC.1016AC79@swcp.com" alt="image.png"
style="margin-right:0px" class="" width="653" height="447"><br>
<br>
<br>
<div>
<div dir="ltr" data-smartmail="gmail_signature">
<div dir="ltr">
<div>
<div dir="ltr">
<div>
<div dir="ltr">_______________________________________________________________________<br>
<a href="mailto:stephen.guerin@simtable.com"
target="_blank" moz-do-not-send="true">Stephen.Guerin@Simtable.com</a>
<div>CEO, Simtable <a
href="http://www.simtable.com/"
target="_blank" moz-do-not-send="true">http://www.simtable.com</a><br>
<div>1600 Lena St #D1, Santa Fe, NM 87505
<div>
<div>office: (505)995-0206 <span
style="font-size:12.8px">mobile:
(505)577-5828</span></div>
<div><span style="font-size:12.8px">twitter:
@simtable</span></div>
<div><span style="font-size:12.8px"><a
href="http://zoom.com/j/5055775828"
target="_blank" moz-do-not-send="true">z</a><a
href="http://oom.simtable.com"
target="_blank" moz-do-not-send="true">oom.simtable.com</a></span></div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<br>
</div>
<br>
<div class="gmail_quote">
<div dir="ltr" class="gmail_attr">On Sun, Sep 19, 2021 at 3:22
PM Frank Wimberly <<a href="mailto:wimberly3@gmail.com"
target="_blank" moz-do-not-send="true">wimberly3@gmail.com</a>>
wrote:<br>
</div>
<blockquote class="gmail_quote" style="margin:0px 0px 0px
0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
<div dir="auto">That gives a good view, Stephen. Hawaii is
farther south than I thought. Thanks.<br>
<br>
<div>---<br>
Frank C. Wimberly<br>
140 Calle Ojo Feliz, <br>
Santa Fe, NM 87505<br>
<br>
505 670-9918<br>
Santa Fe, NM</div>
</div>
<br>
<div class="gmail_quote">
<div dir="ltr" class="gmail_attr">On Sun, Sep 19, 2021, 3:19
PM Stephen Guerin <<a
href="mailto:stephen.guerin@simtable.com"
target="_blank" moz-do-not-send="true">stephen.guerin@simtable.com</a>>
wrote:<br>
</div>
<blockquote class="gmail_quote" style="margin:0px 0px 0px
0.8ex;border-left:1px solid
rgb(204,204,204);padding-left:1ex">
<div dir="ltr">I was going to post this similar site but
Ed beat me with his :-) This one also has a globe
view...<br>
<br>
<a
href="https://www.greatcirclemap.com/globe?routes=CLT-HNL"
rel="noreferrer" target="_blank"
moz-do-not-send="true">https://www.greatcirclemap.com/globe?routes=CLT-HNL</a><br>
<div>
<div dir="ltr">
<div dir="ltr">
<div>
<div dir="ltr">
<div>
<div dir="ltr">_______________________________________________________________________<br>
<a
href="mailto:stephen.guerin@simtable.com"
rel="noreferrer" target="_blank"
moz-do-not-send="true">Stephen.Guerin@Simtable.com</a>
<div>CEO, Simtable <a
href="http://www.simtable.com/"
rel="noreferrer" target="_blank"
moz-do-not-send="true">http://www.simtable.com</a><br>
<div>1600 Lena St #D1, Santa Fe, NM
87505
<div>
<div>office: (505)995-0206 <span
style="font-size:12.8px">mobile:
(505)577-5828</span></div>
<div><span style="font-size:12.8px">twitter:
@simtable</span></div>
<div><span style="font-size:12.8px"><a
href="http://zoom.com/j/5055775828" rel="noreferrer" target="_blank"
moz-do-not-send="true">z</a><a
href="http://oom.simtable.com"
rel="noreferrer"
target="_blank"
moz-do-not-send="true">oom.simtable.com</a></span></div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<br>
</div>
<br>
<div class="gmail_quote">
<div dir="ltr" class="gmail_attr">On Sun, Sep 19, 2021
at 2:03 PM Frank Wimberly <<a
href="mailto:wimberly3@gmail.com" rel="noreferrer"
target="_blank" moz-do-not-send="true">wimberly3@gmail.com</a>>
wrote:<br>
</div>
<blockquote class="gmail_quote" style="margin:0px 0px
0px 0.8ex;border-left:1px solid
rgb(204,204,204);padding-left:1ex">
<div dir="auto">Thanks, Ed. That's useful.<br>
<br>
<div>---<br>
Frank C. Wimberly<br>
140 Calle Ojo Feliz, <br>
Santa Fe, NM 87505<br>
<br>
505 670-9918<br>
Santa Fe, NM</div>
</div>
<br>
<div class="gmail_quote">
<div dir="ltr" class="gmail_attr">On Sun, Sep 19,
2021, 1:54 PM Edward Angel <<a
href="mailto:angel@cs.unm.edu" rel="noreferrer"
target="_blank" moz-do-not-send="true">angel@cs.unm.edu</a>>
wrote:<br>
</div>
<blockquote class="gmail_quote" style="margin:0px
0px 0px 0.8ex;border-left:1px solid
rgb(204,204,204);padding-left:1ex">
<div>Close: <a
href="https://www.airmilescalculator.com/distance/clt-to-hnl/"
rel="noreferrer noreferrer" target="_blank"
moz-do-not-send="true">https://www.airmilescalculator.com/distance/clt-to-hnl/</a><br>
<div>
<span
style="border-collapse:separate;color:rgb(0,0,0);font-family:Helvetica;font-style:normal;font-variant:normal;font-weight:normal;letter-spacing:normal;line-height:normal;text-align:-webkit-auto;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px"><span
style="border-collapse:separate;color:rgb(0,0,0);font-family:Helvetica;font-style:normal;font-variant:normal;font-weight:normal;letter-spacing:normal;line-height:normal;text-align:-webkit-auto;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px">
<div>_______________________</div>
<div><br>
Ed Angel<br>
<br>
</div>
<div>Founding Director, Art, Research,
Technology and Science Laboratory
(ARTS Lab)<br>
Professor Emeritus of Computer Science,
University of New Mexico<br>
<br>
1017 Sierra Pinon</div>
<div>Santa Fe, NM 87501<br>
505-984-0136 (home)<span style="white-space:pre-wrap"> </span> <span style="white-space:pre-wrap"> </span><a
href="mailto:angel@cs.unm.edu"
rel="noreferrer noreferrer"
target="_blank" moz-do-not-send="true">angel@cs.unm.edu</a></div>
<div>505-453-4944 (cell) <span style="white-space:pre-wrap"> </span><span style="white-space:pre-wrap"> </span><a
href="http://www.cs.unm.edu/~angel"
rel="noreferrer noreferrer"
target="_blank" moz-do-not-send="true">http://www.cs.unm.edu/~angel</a><br>
</div>
</span></span>
</div>
<div><br>
<blockquote type="cite">
<div>On Sep 19, 2021, at 1:48 PM, Frank
Wimberly <<a
href="mailto:wimberly3@gmail.com"
rel="noreferrer noreferrer"
target="_blank" moz-do-not-send="true">wimberly3@gmail.com</a>>
wrote:</div>
<br>
<div>
<div dir="auto">Not to change the subject
but...
<div dir="auto"><br>
</div>
<div dir="auto">A large airliner
recently, 15 minutes ago, flew over
Santa Fe headed west. My Flight Radar
app tells me that it's a Boeing 777
going from Charlotte to Honolulu at an
altitude of 38000 feet. I wouldn't
have thought that Santa Fe was on a
great Circle route between those two
cities. But maybe it is.<br>
<br>
<div dir="auto">---<br>
Frank C. Wimberly<br>
140 Calle Ojo Feliz, <br>
Santa Fe, NM 87505<br>
<br>
505 670-9918<br>
Santa Fe, NM</div>
</div>
</div>
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