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Longest Straight Line Paths on Water or Land on the Earth (2018)

arxiv.org

206 points by joebig · 64 comments

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ventana

The paper is basically like this (spoiler alert):

“Some random user on Reddit posted a picture claiming that this is the longest straight line path on water possible on the Earth. We implemented a smart algorithm to solve this problem, found the elevation data, ran our algorithm... yes, that random user was right. Also, here's the longest path on land.”

Thanks, I really enjoyed reading it, even though I hoped that they would disprove the original claim!

Edit: here are the gcmap links to the two paths: sea [1], land [2].

[1]: http://www.gcmap.com/mapui?P=25%B017%27N+66%B040%27E-58%B037...

[2]: http://www.gcmap.com/mapui?P=24%B033%27N+118%B038%27E-37%B02...

OscarCunningham

There's a longer land path that starts in or near Senegal and ends in China. But they miss it because it goes near the Dead Sea, and they treat anything below sea level as water.

gcanyon

I know the globe is unintuitive (it still blows my mind that Muslims in New York City face roughly northeast to point toward Mecca) but it still seems bizarre that the water route can start near the arctic circle, cross the Pacific ocean, nearly touch Antarctica, cross the Atlantic ocean, and cross the Indian ocean to end well north of the equator and still travel only 80% of the way around the globe. This view of the rest of that great circle helped me visualize it: http://www.gcmap.com/mapui?P=58%B037%27N+162%B014%27E-25%B01...

  • SamBam

    If you're in New York and you look due East across the Atlantic, what country are you looking at?

    Most people would assume Portugal.

    Nope, you're looking (over the curve of the earth, of course), at Morocco. Look just a tiny bit to the south and you're looking at the rest of West Africa. Look Southwest and you're looking at Australia, or even Brazil.

  • globular-toast

    > it still blows my mind that Muslims in New York City face roughly northeast to point toward Mecca

    It never occurred to me they would face the shortest distance to Mecca. I've looked it up and apparently it's a point of contention in North America, although the great circle seems to be standard. Interestingly there are landmasses around the antipode of Mecca, which means your direction would vary wildly as you travel around.

mrgriscom

I made a "first person" perspective rendering of this: https://mrgris.com/img/landfall/longest.png

mdritch

It reminds me of a bit I did a few years ago trying to find the "longest straightest" line in Atlanta [PDF]: https://matthewritch.com/pages/LongestStraightestLine.pdf

cookie0

A new challenge for GeoWizard [1]? :D

[1]: https://www.youtube.com/geowizard

shrx

> Figure 9: Longest Drivable Straight Line Path on Earth.

Walkable, maybe, but definitely not drivable (it crosses directly over the Alps, for example).

  • chabska

    This is mathematics, the Alps is drivable like a manifold is smooth.

  • mikeaskew4

    Presume for a moment that you don’t drive on tyres…

  • pbhjpbhj

    There might be icebergs or sandbars or rocks or volcanic activity or wars blocking the sailing route too. They seem like equivalents.

    The longest mettled straight route with minimal deviation would also be an interesting exercise.

    • kakacik

      Extremely highly inprobable vs 100% there and directly impassable unless walking & doing some proper alpinism is hardly equivalent

divbzero

This geographic puzzle feels like the modern day version of the Seven Bridges of Königsberg:

https://en.wikipedia.org/wiki/Seven_Bridges_of_Königsberg

1313ed01

But what would flat-earthers consider the longest possible paths to be? Not the ones shown in the article, presumably?

  • madcaptenor

    Over water, probably something like the entire 60th parallel south.

    Over land, I think you want to start near the westernmost point of the African continent and thread the needle of the Isthmus of Suez, and stay south of the Caspian Sea. At least in the projection gcmap.com uses (plate carree - essentially the x-coordinate and y-coordinate are just raw longitude and latitude), this keeps you south of Lake Baikal and allows you to get very far east in far eastern Russia. Something like 17.5 N, 16 W to 69 N, 178.5 E seems to work:

    http://www.gcmap.com/mapui?P=17.5n16w-21.79n0.21e-26.08n16.4...

    Of course this depends on the projection you use!

    This is different from the Portugal-to-China path that is the longest over land in reality, which a flat-earther would have crossing the Mediterranean.

    • Anduia

      Flat earthers don't use Mercator projection, they use polar azimuthal equidistant (AEQD) projection centered in the north pole.

      I think it would be something like Portugal-Kamchatka:

      https://i.ibb.co/9mqz8fvb/image.png

      • madcaptenor

        I didn't know that. Makes more sense than a rectangular projection at least.

    • 1718627440

      > Of course this depends on the projection you use!

      But if you do not believe in a globe how do you understand projections?

      • madcaptenor

        Well, they wouldn't call it a "projection", but whatever drawing of the map they use.

        • 1718627440

          Yeah, but how do they explain, that the same world looks different, e.g. having different distances and angles depending on the map "type"? This is kind of important for traveling, navigating or measuring the size of the property you own.

          • phinnaeus

            They’re flat earthers, they either have no explanation or a completely bogus explanation. Certainly don’t look for any semblance of reason. They just invent whatever to try and feel like they have some secret knowledge.

            • 1718627440

              I'm just curious. I think they still believe to have a consistent worldview themself, as every human does. My question was more regarding their self-understanding and less the kind-of "marketing" they throw at outsiders.

  • astrobe_

    They would tell us we are contradicting ourselves because none of them are straight lines in the traditional sense, if we really believe the Earth is a sphere. Don't underestimate trolls ;-)

  • Anduia

    It would be a straight line (in their official map) from the south of Portugal to Kamchatka (east Russia)

rotringlvr

Before I opened the solution, I knew it had to pass through the beagle straight. It is the only choke point separating the largest oceans, about both their empties areas, the far south.

I guess my biggest surprise is that there is a straight line through the Beagle straight.

  • gus_massa

    Beagle Channel is very narrow and has islands both on the north and the south. This path goes thought the Drake Passage that is south of the islands that are south of the Beagle Channel. The Drake Passage is very wide.

dr_dshiv

If it is undrivable in a straight line, why does that count? I’d assume the longest you could drive in a perfectly straight line would either be the longest straight highway or some drivable desert.

hnx0rqy49u

Learned this the expensive way

trencedamp

If it's the longest straight path on water OR land then surely it's just the circumference of the earth

paufernandez

Nerd sniping at its best... ;)

metalman

it would be interesting if it was a list of actual journeys with the sub lists of deviations required. a special club for the brutaly determined and persistant the "strait liners" things like having to beg, bluff, bribe, your way through someones house

joebigOP

I myself walked the longest path to 1200 karma. It was painful. Blisters of delta_karma=f*vote_points, where f could be 0.5 or 0.3 or unknown lower no. I'm tired, boss.

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