Re: [FRIAM] Great Circle

2021-09-20 Thread Tom Johnson
Ed et al. -- Hope you guys saw this interesting story in the NYT Magazine yesterday about Ingrid Daubechies. A wonderful character with a great mind. https://www.nytimes.com/2021/09/14/magazine/ingrid-daubechies.html TJ On Mon, Sep 20, 2021 at 6:04 PM Edward Angel wrote: > Quaternions avoid mu

Re: [FRIAM] Great Circle

2021-09-20 Thread Edward Angel
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. Ed ___ Ed Angel Founding Director, Art, Research, Technology and Science Laborat

Re: [FRIAM] Great Circle

2021-09-20 Thread Steve Smith
I'm imagining a post near-apocalyptic world where the near-future MAGAmorlocks watch ElonMuskishEloi flying machines traveling high in the sky (with or without contrails) and set their crude sextants on the problem of shooting a trajectory and from that guestimating which known megaCity Enclaves th

Re: [FRIAM] Great Circle

2021-09-20 Thread Steve Smith
I'm wondering if there are any obvious rule-of-thumb ways to guess or recognize "great-circleness".    It seems like such calculations are (too) full of compound trig functions to intuit easily? On 9/19/21 1:53 PM, Edward Angel wrote: > Close: https://www.airmilescalculator.com/distance/clt-to-h

Re: [FRIAM] Great Circle

2021-09-20 Thread Barry MacKichan
In November 1994 I was on a sailing trip down the Chilean islands. Local time was an hour *later* than NY time. I think part of that was that Chile was on daylight savings time. I once flew from Seattle to LA to get on a flight to Beijing. That flight took us back over Seattle, Anchorage, and t

Re: [FRIAM] Great Circle

2021-09-19 Thread thompnickson2
Sent: Sunday, September 19, 2021 10:24 PM To: The Friday Morning Applied Complexity Coffee Group 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

Re: [FRIAM] Great Circle

2021-09-19 Thread Roger Frye
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 wrote: > "Is this related, at some level, to..." > > Oh y

Re: [FRIAM] Great Circle

2021-09-19 Thread Jon Zingale
"Is this related, at some level, to..." Oh yeah, like in classical geometric probability. Yeah, I wonder too. .-- .- -. - / .- -.-. - .. --- -. ..--.. / -.-. --- -. .--- ..- --. .- - . FRIAM Applied Complexity Group listserv Zoom Fridays 9:30a-12p Mtn UTC-6 bit.ly/virtualfriam un/subscribe http:

Re: [FRIAM] Great Circle

2021-09-19 Thread Frank Wimberly
Is this related, at some level, to numerically integrating a function on an interval by randomly generating points and counting what percentage lie inside versus outside, etc? --- Frank C. Wimberly 140 Calle Ojo Feliz, Santa Fe, NM 87505 505 670-9918 Santa Fe, NM On Sun, Sep 19, 2021, 5:37 PM Jo

Re: [FRIAM] Great Circle

2021-09-19 Thread Barry MacKichan
In the northern hemisphere a great circle route between two points with the same latitude will be north of the parallel, so if the latitudes are close, the great circle will arch above the straight line (for most map projections that keep “parallels” parallel). A gnomonic projection of the world

Re: [FRIAM] Great Circle

2021-09-19 Thread Jon Zingale
"Not to change the subject but..." Oh, there's no change of subject at all (relative to the discussion of Random Evolutions). It seems with your mentioning of geodesics that we are back talking about harmonic functions. SteveG, did you happen to read the Scientific American paper that RogerF and

Re: [FRIAM] Great Circle

2021-09-19 Thread Stephen Guerin
Interesting too to get distances for a question I have often asked folks: Santiago, Chile is on the west coast of South America. Which US city has the closest value of longitude? often have to remind that longitudes are the north/south meridians / lines on the globe. 1. Los Angeles 2. Houst

Re: [FRIAM] Great Circle

2021-09-19 Thread Frank Wimberly
That gives a good view, Stephen. Hawaii is farther south than I thought. Thanks. --- Frank C. Wimberly 140 Calle Ojo Feliz, Santa Fe, NM 87505 505 670-9918 Santa Fe, NM On Sun, Sep 19, 2021, 3:19 PM Stephen Guerin wrote: > I was going to post this similar site but Ed beat me with his :-) This

Re: [FRIAM] Great Circle

2021-09-19 Thread Stephen Guerin
I was going to post this similar site but Ed beat me with his :-) This one also has a globe view... https://www.greatcirclemap.com/globe?routes=CLT-HNL ___ stephen.gue...@simtable.com CEO, Simtable http://www.simtable.com 1600 L

Re: [FRIAM] Great Circle

2021-09-19 Thread Frank Wimberly
Thanks, Ed. That's useful. --- Frank C. Wimberly 140 Calle Ojo Feliz, Santa Fe, NM 87505 505 670-9918 Santa Fe, NM On Sun, Sep 19, 2021, 1:54 PM Edward Angel wrote: > Close: https://www.airmilescalculator.com/distance/clt-to-hnl/ > ___ > > Ed Angel > > Founding Director, A

Re: [FRIAM] Great Circle

2021-09-19 Thread Edward Angel
Close: https://www.airmilescalculator.com/distance/clt-to-hnl/ ___ Ed Angel Founding Director, Art, Research, Technology and Science Laboratory (ARTS Lab) Professor Emeritus of Computer Science, University of New Mexico 1017 Sierra Pinon Santa Fe, NM 87501 505-984-0136 (home)

[FRIAM] Great Circle

2021-09-19 Thread Frank Wimberly
Not to change the subject but... 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