<div dir="ltr">Ed et al. --<div>Hope you guys saw this interesting story in the NYT Magazine yesterday about Ingrid Daubechies. A wonderful character with a great mind.<br><a href="https://www.nytimes.com/2021/09/14/magazine/ingrid-daubechies.html">https://www.nytimes.com/2021/09/14/magazine/ingrid-daubechies.html</a><br></div><div><br></div><div>TJ</div><div><img width="1" height="1" id="shtracking_1s2" src="https://tc2.shftrk.com/e/blRnyoxlvBV8073e/5jpvMy1zmrk8G1BY/mxGkn85KGR4dXZvj" alt=" " style="display:none"></div></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Mon, Sep 20, 2021 at 6:04 PM Edward Angel <<a href="mailto:angel@cs.unm.edu">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 style="overflow-wrap: break-word;">Quaternions avoid much of the ugly trigonometry since quaternion rotation is along a great circle. They’re very useful for smooth rotations in computer graphics and many aerospace applications.<div><br></div><div>Ed<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" target="_blank">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" target="_blank">http://www.cs.unm.edu/~angel</a><br></div></span></span>
</div>
<div><br><blockquote type="cite"><div>On Sep 20, 2021, at 9:19 AM, Steve Smith <<a href="mailto:sasmyth@swcp.com" target="_blank">sasmyth@swcp.com</a>> wrote:</div><br><div>
<div><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>On 9/19/21 3:36 PM, Stephen Guerin
wrote:<br>
</div>
<blockquote type="cite">
<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">Beijing (PEK) Great
Circle Distances for 10 US cities</a><br>
<br>
<span id="gmail-m_8961611573368469358cid:part2.6AA9EAAC.1016AC79@swcp.com"><image.png></span><br>
<br>
<br>
<div>
<div dir="ltr">
<div dir="ltr">
<div>
<div dir="ltr">
<div>
<div dir="ltr">_______________________________________________________________________<br>
<a href="mailto:stephen.guerin@simtable.com" target="_blank">Stephen.Guerin@Simtable.com</a>
<div>CEO, Simtable <a href="http://www.simtable.com/" target="_blank">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">z</a><a href="http://oom.simtable.com/" target="_blank">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">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">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">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">Stephen.Guerin@Simtable.com</a>
<div>CEO, Simtable <a href="http://www.simtable.com/" rel="noreferrer" target="_blank">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">z</a><a href="http://oom.simtable.com/" rel="noreferrer" target="_blank">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">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">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">https://www.airmilescalculator.com/distance/clt-to-hnl/</a><br>
<div>
<span style="border-collapse:separate;font-family:Helvetica;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-variant-east-asian: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;font-family:Helvetica;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-variant-east-asian: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">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">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">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>
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