from the world's big
These are the world’s longest straight lines
Researchers use algorithms to find the longest straight-line distances on land and at sea
- What links a small town in Portugal and a huge port city in China?
- The answer may surprise even inhabitants of both places: the world's longest straight line over land
- That line and its maritime equivalent were determined not by exploration but by calculation
What connects the Chinese port of Quanzhou with Sagres, a tiny parish in southern Portugal? No, it's not the New Silk Route, the Sino-European rail link inaugurated in 2017 (1). The answer is so arcane that it will surprise most inhabitants of either place: they are the extreme points of the world's longest straight line over land (2).
Following the course of that line would require directional rectitude of the highest degree. Travellers would have to forgo the relative comfort of well-worn roads and mountain passes and traverse daunting peaks and inhospitable deserts – not to mention innumerable private houses and public buildings.
Longest sailable straight line on Earth, as suggested by Reddit user kepleronlyknows.
They would cross 15 countries; skirting Madrid and Switzerland's alpine highlands; cutting off a corner of Austria and passing just north of Auschwitz in Poland; barely touching Ukraine and slicing through Belarus; travelling through Russia and Kazakhstan before hitting China and reaching the Formosa Strait; but not before dipping into Mongolia twice.
Because the globe is round and this map is not, the world's longest straight line over land – like all others long enough – looks like a bendy one on this image. For anyone walking the line, though, it would have been straight as a ruler, and, at the end of that trip, close to 20,000 miles long.
Threading the needle
Algorithmically correct: the world's longest sailable straight line goes from Pakistan to Kamchatka
Image: Chabukswar & Mukherjee
The world's longest straight line on land was calculated by researchers Rohan Chabukswar of the United Technologies Research Centre (UTRC) in Cork (Ireland) and Kushal Mukherjee at IBM's Research Laboratory in New Delhi (India).
In a paper published earlier this year (and last updated on 25 December), they set out their solution to the question of finding the world's longest straight lines over land and at sea. That question sounds simple enough, but isn't: "This is an optimisation problem, rendered chaotic by the presence of islands and lakes, and indeed the fractal nature of the coasts".
They were prompted by a map that had raised a lot of discussion since its first publication on Reddit in 2012. Posted by user kepleronlyknows, it purports to show the longest possible straight-line sailing route in the world: from Pakistan to Kamchatka, threading the needle twice – through the Mozambique Strait separating Madagascar from the African mainland, and via the Drake Passage between South America and Antarctica.
Walk this way
A long walk indeed, but a straight one: Portugal to China
Image: Chabukswar & Mukherjee
Commenters have since sought to prove or disprove the longest straight-line sea route, and the analogous route over land. Suggested but disproved longer routes include two nautical ones: from Norway to Antarctica – a valid route, but not in fact as long as the Pakistan to Kamchatka one; and from Québec to British Columbia, which turns out not to be a perfectly straight line.
One suggested longer overland route leads from from Wenling in China to Greenville in Liberia. But this line crosses the Dead Sea and if, as the authors say, that qualifies as a 'major body of water', it disqualifies the route as being entirely over land.
Strangely enough, the direction from Portugal to China is due northeast
Image: Google Earth
So Messrs. Chabukswar and Mukherjee decided to put the issue through a scientific wrangler. Instead of conducting an exhaustive search of all possible routes – more than 233 million great circles (3), as the authors suggest - they calculated the two paths using a so-called branch-and-bound algorithm.
They found that the original poster on Reddit was right: the longest sailable straight-line path does connect Pakistan to Kamchatka. To be precise, it links Sonmiani (25°17′ N, 66°40′ E), a coastal town (4) approximately 90 miles (145 km) northwest of Karachi, with an unnamed location in the Karaginsky District (58°37′ N, 162°14′ E), a virtually uninhabited part in the north of the Kamchatka peninsula. The path is almost 20,000 miles long (to be precise: 19,939.8 miles, or 32,090 km).
Steppe by steppe...
Image: Google Earth
The same algorithm was let loose on the dry-land variety of the straight-line question. Here, the answer links a point near Sagres (37°2′ N 8°55′ W) to a point in the south of the greater Quanzhou metro area (24◦33′ N, 118◦38′ E). The distance covered is much smaller than the longest straight line at sea: just short of 7,000 miles (6,984.8 miles, or 11,241 km).
The researchers formulate a few theoretical caveats to their result, and one practical one: "The problem was approached as a purely mathematical exercise. The authors do not recommend sailing or driving along the found paths".
There is hope, however, for whoever had their heart set on long straight-line travels. Here are a few of the world's longest straight-line roads (5):
1. Highway 10 (Saudi Arabia): 159 miles (256 km)
There is little remarkable about either Haradh or Al Batha, two dusty towns in Saudi Arabia's Rub-al-Khali desert, or the featureless distance between them. Except that almost that entire stretch is traversed by a dead-straight road. Leaving the oil town of Haradh in the interior of the country, Saudi Highway 10 heads due east in a curveless line for 159 miles (256 km), bending slightly before entering Al Batha, near the Gulf coast and the Saudi border with the United Arab Emirates. That makes Highway 10 the longest straight stretch of road in the world.
2. US-54 (United States): 108 miles (173 km)
In its entirety, US Route 54 runs from Griggsville, Illinois to El Paso, Texas, covering 1,197 miles (2,115 km). For 108 miles, from Liberal, Kansas to Dalhart, Texas, US-54 runs in a virtually straight line (passing through Oklahoma as well). There are a few slight kinks in over the course of 54's 'straight' trajectory, though.
3. Eyre Highway, Australia (90 miles, 145.6 km)
The entire Eyre Highway is 1,030 miles (1,660 km) long, linking Norseman in Western Australia to Port Augusta in South Australia across the deserted Nullarbor Plain. It is part of Highway 1 that connects Perth to Adelaide, and the only 'sealed' road between both states. Between Balladonia and Caiguna, the road is completely straight for 90 miles – the longest stretch of straight road in Australia, commonly known as '90 Mile Straight'.
Strange Maps #954
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(1) A 7,500-mile (12,000-km) China Railway cargo service from Yiwu, calling on Hamburg, London and Madrid. The service could become part of China's wider Belt and Road Initiative: a massive infrastructure project connecting Chinese manufacturing to its markets in Europe and elsewhere.
(2) Perhaps the 1,000-odd inhabitants of Sagres, the westernmost point on the European road network, will be less surprised. Sagres also is a terminus of the longest (non-straight) driveable distance between two points on earth. The other one is Khasan, a Russian city on the North Korean border, and the eastern terminus of that country's road network. The route connecting both places is 8,726 miles (14,043 km) long.
(3) A great circle or orthodrome is the largest circle that can be drawn on a spherical object.
(4) Sonmiani is also notable as the northernmost point of the Arabian Sea, a seaside resort for Karachiites and a launch site for the Pakistani space agency.
(5) Most so-called straight roads have slight curves, hence the many differing lists.
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From "if-by-whiskey" to the McNamara fallacy, being able to spot logical missteps is an invaluable skill.
- A fallacy is the use of invalid or faulty reasoning in an argument.
- There are two broad types of logical fallacies: formal and informal.
- A formal fallacy describes a flaw in the construction of a deductive argument, while an informal fallacy describes an error in reasoning.
Appeal to privacy<p>When someone behaves in a way that negatively affects (or could affect) others, but then gets upset when others criticize their behavior, they're likely engaging in the appeal to privacy — or "mind your own business" — fallacy. Examples:<br></p><ul><li>Someone who speeds excessively on the highway, considering his driving to be his own business.</li><li>Someone who doesn't see a reason to bathe or wear deodorant, but then boards a packed 10-hour flight.</li></ul><p>Language to watch out for: "You're not the boss of me." "Worry about yourself."</p>
Sunk cost fallacy<p>When someone argues for continuing a course of action despite evidence showing it's a mistake, it's often a sunk cost fallacy. The flawed logic here is something like: "We've already invested so much in this plan, we can't give up now." Examples:<br></p><ul><li>Someone who intentionally overeats at an all-you-can-eat buffet just to get their "money's worth"</li><li>A scientist who won't admit his theory is incorrect because it would be too painful or costly</li></ul><p>Language to watch out for: "We must stay the course." "I've already invested so much...." "We've always done it this way, so we'll keep doing it this way."</p>
If-by-whiskey<p>This fallacy is named after a speech given in 1952 by <a href="https://en.wikipedia.org/wiki/Noah_S._Sweat" target="_blank">Noah S. "Soggy" Sweat, Jr.</a>, a state representative for <a href="https://en.wikipedia.org/wiki/Mississippi" target="_blank">Mississippi</a>, on the subject of whether the state should legalize alcohol. Sweat's argument on prohibition was (to paraphrase):<br></p><p><em>If, by whiskey, you mean the devil's brew that causes so many problems in society, then I'm against it. But if whiskey means the oil of conversation, the philosopher's wine, "</em><em>the stimulating drink that puts the spring in the old gentleman's step on a frosty, crispy morning;" then I am certainly for it.</em></p>
Slippery slope<p>This fallacy involves arguing against a position because you think choosing it would start a chain reaction of bad things, even though there's little evidence to support your claim. Example:<br></p><ul><li>"We can't allow abortion because then society will lose its general respect for life, and it'll become harder to punish people for committing violent acts like murder."</li><li>"We can't legalize gay marriage. If we do, what's next? Allowing people to marry cats and dogs?" (Some people actually made this <a href="https://www.daytondailynews.com/news/national/cats-marrying-dogs-and-five-other-things-same-sex-marriage-won-mean/dLV9jKqkJOWUFZrSBETWkK/" target="_blank">argument</a> before same-sex marriage was legalized in the U.S.)</li></ul><p>Of course, sometimes decisions <em>do </em>start a chain reaction, which could be bad. The slippery slope device only becomes a fallacy when there's no evidence to suggest that chain reaction would actually occur.</p><p>Language to watch out for: "If we do that, then what's next?"</p>
"There is no alternative"<p><span style="background-color: initial;">A modification of the </span><a href="https://en.wikipedia.org/wiki/False_dilemma" target="_blank" style="background-color: initial;">false dilemma</a><span style="background-color: initial;">, this fallacy (often abbreviated to TINA) argues for a specific position because there are no realistic alternatives. Former British Prime Minister Margaret Thatcher used this exact line as a slogan to defend capitalism, and it's still used today to that same end: Sure, capitalism has its problems, but we've seen the horrors that occur when we try anything else, so there is no alternative.</span><br></p><p>Language to watch out for: "If I had a magic wand…" "What <em>else</em> are we going to do?!"</p>
Ad hoc arguments<p>An ad hoc argument isn't really a logical fallacy, but it is a fallacious rhetorical strategy that's common and often hard to spot. It occurs when someone's claim is threatened with counterevidence, so they come up with a rationale to dismiss the counterevidence, hoping to protect their original claim. Ad hoc claims aren't designed to be generalizable. Instead, they're typically invented in the moment. <a href="https://rationalwiki.org/wiki/Ad_hoc" target="_blank">RationalWiki</a> provides an example:<br></p><p style="margin-left: 20px;">Alice: "It is clearly said in the Bible that the Ark was 450 feet long, 75 feet wide and 45 feet high."</p><p style="margin-left: 20px;">Bob: "A purely wooden vessel of that size could not be constructed; the largest real wooden vessels were Chinese treasure ships which required iron hoops to build their keels. Even the <em>Wyoming</em> which was built in 1909 and had iron braces had problems with her hull flexing and opening up and needed constant mechanical pumping to stop her hold flooding."</p><p style="margin-left: 20px;">Alice: "It's possible that God intervened and allowed the Ark to float, and since we don't know what gopher wood is, it is possible that it is a much stronger form of wood than any that comes from a modern tree."</p>
Snow job<p><span style="background-color: initial;">This fallacy occurs when someone doesn't really have a strong argument, so they just throw a bunch of irrelevant facts, numbers, anecdotes and other information at the audience to confuse the issue, making it harder to refute the original claim. Example:</span><br></p><ul><li>A tobacco company spokesperson who is confronted about the health risks of smoking, but then proceeds to show graph after graph depicting many of the other ways people develop cancer, and how cancer metastasizes in the body, etc.</li></ul><p>Watch out for long-winded, data-heavy arguments that seem confusing by design.</p>
McNamara fallacy<p>Named after <a href="https://en.wikipedia.org/wiki/Robert_McNamara" target="_blank">Robert McNamara</a>, the <a href="https://en.wikipedia.org/wiki/United_States_Secretary_of_Defense" target="_blank">U.S. secretary of defense</a> from 1961 to 1968, this fallacy occurs when decisions are made based solely on <em>quantitative metrics or observations,</em> ignoring other factors. It stems from the Vietnam War, in which McNamara sought to develop a formula to measure progress in the war. He decided on bodycount. But this "objective" formula didn't account for other important factors, such as the possibility that the Vietnamese people would never surrender.<br></p><p>You could also imagine this fallacy playing out in a medical situation. Imagine a terminal cancer patient has a tumor, and a certain procedure helps to reduce the size of the tumor, but also causes a lot of pain. Ignoring quality of life would be an example of the McNamara fallacy.</p><p>Language to watch out for: "You can't measure that, so it's not important."</p>
A new study looks at what would happen to human language on a long journey to other star systems.
- A new study proposes that language could change dramatically on long space voyages.
- Spacefaring people might lose the ability to understand the people of Earth.
- This scenario is of particular concern for potential "generation ships".
Generation Ships<span style="display:block;position:relative;padding-top:56.25%;" class="rm-shortcode" data-rm-shortcode-id="a1e6445c7168d293a6da3f9600f534a2"><iframe type="lazy-iframe" data-runner-src="https://www.youtube.com/embed/H2f0Wd3zNj0?rel=0" width="100%" height="auto" frameborder="0" scrolling="no" style="position:absolute;top:0;left:0;width:100%;height:100%;"></iframe></span>
Many of the most popular apps are about self-improvement.
Emotions are the newest hot commodity, and we can't get enough.