This video was made possible by Brilliant. Learn with Brilliant for 20% off by being
one of the first 200 to sign up at Brilliant.org/HAI. You know what would make a bad video? One on, “what’s the longest border in
the world,” because it’s this one—the US-Canada border. Done. You know what would make a slightly less bad
video? One on “what’s the shortest border in
the world” since the answer’s a bit more complicated. Alright let’s beat that bush… or around
it or something. There are plenty of small countries with short
borders such as Monaco which shares a 2.7 mile, 4.4 kilometer long border with France
and the Vatican which shares 2 mile, 3.2 kilometer border with Italy but there are bigger countries
that share shorter borders such as the UK and Spain. Of course the British Isles are nowhere near
Spain but the British territory on the Iberian Peninsula is. Despite how it may look I’m not talking
about Malaga, I’m talking about Gibraltar. This British overseas territory shares a 0.8
mile, 1.2 kilometer border with Spain which is not the shortest international border in
the world. Down in Africa, there exists a pretty unique
border where Botswana, Zimbabwe, Zambia, and Namibia come close to forming the only place
on earth where four countries meet at one point. In the past it was thought that this was maybe
a quadripoint but nobody was really sure. Many of the post-colonial era borders were
not super well defined. Right here, at this point, Namibia, which
was controlled by South Africa at the time, said that the border was a quadripoint with
four countries meeting at one point while Botswana said that the border looked like
this with them having a tiny little border in the Zambezi River with Zambia which was
important to them since there was a ferry across the river which served as the only
direct connection between the two countries. If the border did indeed look like this as
South Africa said it did, every ferry trip would illegally be entering into their territory. So, South Africa/Namibia shot some guns and
everyone lived unhappily ever after, until around 2007 when the four countries sat down,
did some diplomacy, and decided that Botswana did indeed share this tiny, 500 foot, 150
meter border with Zambia which made everyone happy, except for this guy. What’s more, they decided to build a bridge
to link the two countries which will be done in 2019 and will take this big old curve in
order to very decisively stay out of Namibia and Zimbabwe’s territory. Now, this tiny border does qualify as the
shortest overall border between two countries, as in, the total border distance two countries
share, but as I’m sure you can tell by us being only halfway through this video, there
are shorter single portions of borders between two countries. Exclaves, territories of a country surrounded
by that of another, are the key to shorter border portions. You can look at a place like Baarle-Nassau. The easiest way to describe this town is like
this—this is Belgium, this is the Netherlands. It’s just a messy puzzle of exclaves the
smallest of which is this one. This strange Belgian portion of an empty field
has a border length of 800 feet or 250 meters making it a very short border, but still longer
than that Botswana-Zambia border. But, remember that time back at the end of
the 19th century when Europe decided it’d be cool to just take all of Africa? Then, do you remember that time 50 years later
when Europe decided it’d be cool to just leave all of Africa? See, look Spain is doing a great job at leaving. Nice job Spain! There you go! Almost done! Oh wait, Spain, you forgot a bit. Spain? Spain what about these bits? Spain? Half a century later, in two-thousand-now
Spain still holds these territories in Africa. Ceuta and Melilla are fairly well known as
they’re decently sized cities but there are more Spanish territories in North Africa. Six islands just off the coast of Morocco
are controlled by Spain. It’s worth noting, all of the Spanish Territories
in North Africa are disputed territory with Morocco but each of them is controlled by
Spain. In addition to those six islands Spain has
another bit of territory in mainland Africa—Peñón de Vélez de la Gomera. This tiny rock was once an island but a huge
storm in the 30s formed this thin strip of sand that connected it with mainland Africa. The Spanish territory is only inhabited by
a few dozen Spanish soldiers who’s whole purpose is to sit around and make sure the
Moroccans don’t take it. It’s not that this peninsula is strategically
important at all anymore—it’s just that the Spanish believe that giving this territory
to Morocco would open the political floodgates for them returning Ceuta and Melilla to Morocco. The Spanish soldiers can’t cross into Morocco
and Moroccans can’t cross into this bit of Spain so all supplies and personnel are
flown in by helicopter to this heliport. Because this was formally an island, the border
just spans over the sand strip which makes it exceptionally short. The distance from here to here is just 278
feet or 85 meters and this is therefore, almost certainly, the shortest international border
in the world. You probably don’t need an advanced understanding
of geometry to figure out how long this border is but you probably do to answer this: how
many times greater is the green area than the blue area in this image? If you think you know the answer leave it
in a comment but if you don’t, you should take Brilliant’s geometry course. It teaches you the intuitive concepts behind
geometry so you don’t just learn how to answer questions, you understand it. If geometry isn’t your thing, Brilliant
also has tons of superbly designed courses on topics like logic, statistics, waves and
light, and more. To learn more about Brilliant, go to https://brilliant.org/HAI/
and sign up for free, and also, the first 200 people that go to that link will get 20%
off the annual Premium subscription.

What’s the Shortest International Border in the World?
Tagged on:                                                                                                                         

100 thoughts on “What’s the Shortest International Border in the World?

  • June 17, 2019 at 11:31 am
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    Ooo boy, 1k more subs and you hit the 1 mil milestone

    Reply
  • June 17, 2019 at 12:25 pm
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    04:29 answer is 9r^2

    Reply
  • June 17, 2019 at 12:26 pm
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    4:29 im not totally sure but i would say 9(i did not pull that up my butt)
    explanation:
    i claimed small half circle diameter as 2 and the big green one had a diameter of 6
    i assumed pi as 3 and that meant 2.2.3 equals 12 and 6.6.3 equals 108.
    the green ones land was 9 times greater than the blue

    Reply
  • June 17, 2019 at 1:32 pm
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    Who's watching after 1mil?

    Reply
  • June 17, 2019 at 4:36 pm
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    That area is 1/3 times that of the larger area.

    Reply
  • June 17, 2019 at 4:48 pm
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    G = (B * 3)

    Reply
  • June 17, 2019 at 5:19 pm
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    The green part is 62,5% larger than the blue one

    Reply
  • June 17, 2019 at 8:38 pm
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    2 or 3 times

    Reply
  • June 18, 2019 at 3:24 am
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    3x bigger

    Reply
  • June 18, 2019 at 6:20 am
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    The answer is three!!!

    Reply
  • June 18, 2019 at 8:24 am
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    4:31 the answer is 2 times

    Reply
  • June 18, 2019 at 11:30 am
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    SPAIN

    Reply
  • June 18, 2019 at 6:20 pm
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    Green is 5 times greater

    Reply
  • June 18, 2019 at 9:18 pm
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    Ceuta y Melilla son españolas desde mucho antes de que existiera Marruecos, son ciudades españolas, no son colonias.

    Reply
  • June 18, 2019 at 10:40 pm
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    0:21 aaand good for watchtime?

    Reply
  • June 19, 2019 at 3:30 am
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    Geometry puzzle: 3 times bigger.

    Reply
  • June 19, 2019 at 5:20 am
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    We are including 2 or more countries, so there is a shorter border you shit-stained distilled water bottle, and it is Slovenia-Austria-Italy border, it is a fucking point.

    Reply
  • June 19, 2019 at 11:20 am
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    s p a i n

    Reply
  • June 19, 2019 at 4:33 pm
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    I live in morroco my boy

    Reply
  • June 19, 2019 at 10:18 pm
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    The green area is nine times bigger

    Reply
  • June 19, 2019 at 11:30 pm
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    Two thousand and now

    Reply
  • June 20, 2019 at 12:09 am
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    The blue area has the same circumference as the green are because the green is 3x the length of 1 blue

    3 x pi ÷ 2 + 3 = 7.71 rounded

    1 x pi ÷ 2 + 1 x 3 (cuz there are 3) = 7.71 which is the same

    7.71 = 7.71 = 1:1 ratio

    Reply
  • June 20, 2019 at 5:03 am
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    1m SUBS!!!!

    Reply
  • June 20, 2019 at 8:09 am
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    Problem at the end: The green area is twice the blue area.

    Breakdown below the cutoff…

    Definitions:

    A = green area
    a = blue area
    R = large radius
    r = small radius

    R = 3r

    a = 3 half blue circle with radius r

    a = 3 × [(π r^(2))/2] = [3πr^(2)]/2

    A = 1 half circle with radius R minus blue area 'a'

    A = [πR^(2)]/2 – [3πr^(2)]/2

    = (π/2)[R^(2) – 3r^(2)]

    = (π/2)[(3r)^(2) – 3r^(2)]

    = (π/2)[9r^(2) – 3r^(2)]

    = [6πr^(2)]/2

    = 3πr^(2) = A

    2a = A

    Therefore, green is twice the area of blue.

    Reply
  • June 20, 2019 at 3:49 pm
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    Green is 2 times as big

    Reply
  • June 20, 2019 at 5:10 pm
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    1:55 Read the fine print in the bottom right corner…

    Reply
  • June 20, 2019 at 6:19 pm
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    4:27 its 5 times greater?

    Reply
  • June 20, 2019 at 8:17 pm
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    We need dimensions to answer the question

    Reply
  • June 20, 2019 at 9:20 pm
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    The green semicircle is 6 times larger than the 3 blue semicircles

    Reply
  • June 21, 2019 at 2:25 am
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    9

    Reply
  • June 22, 2019 at 10:35 am
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    1,5 timez

    Reply
  • June 22, 2019 at 10:24 pm
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    Englands one of the biggest country in the biggest countrys in the world as we own the falklands.

    Argentines: angry hitler noises

    Reply
  • June 26, 2019 at 9:56 pm
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    4:32 answer:11

    Reply
  • June 26, 2019 at 10:48 pm
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    3 times

    Reply
  • June 27, 2019 at 4:00 am
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    whips out a notepad and a pencil The green shaded area is 2 times bigger than the blue shaded area

    Reply
  • June 28, 2019 at 10:57 am
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    69

    Reply
  • June 29, 2019 at 1:34 pm
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    It's three times bigger.
    Base unit: x
    Green area: pi*(x/2)^2
    Blue area: 3*pi*(x/6)^2
    Ratio: (Green area/Blue area) = [pi*(x/2)^2]/[3*pi*(x/6)^2] = [(x/2)^2]/[3*(x/6)^2] = (1/3)*[1/4]/[1/36] = (1/3)*(36/4) = 3
    If I would do it again, I would use 6x as a base unit so as not to have to deal with fractions because; nobody likes fraction.
    (Or use integrals because it's more fun than geometry)

    Reply
  • June 29, 2019 at 7:40 pm
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    Green is twice as big

    Reply
  • July 1, 2019 at 7:18 pm
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    those are enclaves not exclaves 2:32

    Reply
  • July 1, 2019 at 9:06 pm
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    What if there was a border that was one nanometer

    Reply
  • July 2, 2019 at 1:22 am
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    The green area is twice as large as the blue
    Let's assume that the diameter of 3x. Then the green plus blue is (3x)^2 times π, aka π(9x^2nd). The diameter of the blue half circles is x, because each makes up 1/3 of the previous diameter, so each individual circle is πx^2nd. Since there's three, the total blue area is π(3x^2nd). The total area minus the blue equals the green, so the green area is π(6x^2nd). That is two times larger than π(3x^2nd), so the green is two times larger than the blue.

    Reply
  • July 3, 2019 at 7:42 pm
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    Is the bridge done yet?

    Reply
  • July 4, 2019 at 12:46 pm
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    The green area is twice as large as the blue area.

    Reply
  • July 5, 2019 at 10:20 pm
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    1:55 Here's the review: https://goo.gl/maps/KY6nhW3edQQgK1oK6

    Reply
  • July 8, 2019 at 4:44 am
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    S P A I N ???

    Reply
  • July 8, 2019 at 6:29 am
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    for the brilliant.org question at the end;
    gc=green circle
    bc=blue circles
    gsc= green semi-circle
    bsc=blue semi-clircle ;

    first, let's calculate the areas of each of the following objects,
    one bc radius is 1; so
    gc=pi*3^2=
    pi*9=
    28.274
    bc=pi*1^2=
    pi*1=
    3.14
    gsc=gc/2=
    14.137
    bsc=bc/2=
    1.57
    then, we ask the question;
    "How many times bigger is gsc then bsc?"
    let x equal how many times bigger gsc is than the bcs total area,
    x=gcs/(bcs*3)
    x=14.137/(1.57*3)
    x=14.137/4.71
    x=~3
    the green area is roughly 3 times bigger than the blue area.

    Reply
  • July 8, 2019 at 1:14 pm
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    Is the narrator trying to make me feel bad for the accomplishments of the Western world and colonialism? Some serious guilt from him hahah

    Reply
  • July 10, 2019 at 2:12 pm
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    That was almost a terrible, unnecessary, and offensively unintelligent video, but managed to be just ok.

    Reply
  • July 10, 2019 at 2:16 pm
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    Found the review.
    https://goo.gl/maps/s4b8zg5PxdJvkj729

    Reply
  • July 11, 2019 at 8:00 pm
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    spain

    Reply
  • July 12, 2019 at 12:21 am
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    https://goo.gl/maps/iLTJD9K1rseVDCwV7

    Reply
  • July 12, 2019 at 8:19 am
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    Ceuta has been spanish since the 1500s and it was previously owned by the Portuguese. Similar story with Melilla. It has little to do with ninteenth century colonialism.

    Reply
  • July 14, 2019 at 6:11 am
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    Half circles are equal size…

    Reply
  • July 16, 2019 at 3:02 am
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    Ok, we're going to get extremely pedantic here. The question asked "How many times greater is the green area than the blue area?"
    Now, that sounds simple enough, and the math is indeed simple. The phrasing and the exact meaning of the phrasing of the question make it a bit more interesting.
    First, the math. This is easy the green area is 2 times the size of the blue area. I'm not going to explain the math because that's easy and it's not my point. The more interesting thing is the phrasing of the question. How many times greater is the green area than the blue area? Let's say that blue had an area of 1. Then we know that green has an area of 2. How many times greater is 2 than 1? It's important to know that asking how much bigger is not the same as asking how many times as big. 2 is 2 times as big as 1. That is, 2 is 200% of 1. But how many percent bigger than 1 is 2? To find percent change you take the new value (2) minus the old value, (1) and divide by the old value (1). That's (2-1)/1. The answer is 1.

    So, how many times greater is the green area than the blue area?

    1.

    I know everyone will argue with me, but given the phrasing of the question, that is actually the correct answer.

    Reply
  • July 18, 2019 at 7:32 pm
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    4:32 I think it's 3 times greater

    Reply
  • July 19, 2019 at 3:04 am
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    Haha, look at Spain, those colonial morons. Still hanging on to a fucking band-aid strip of land, because humans are fucking worthless monkeys.

    Reply
  • July 22, 2019 at 9:53 am
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    The green area is 3 times as big as the blue area

    Reply
  • July 23, 2019 at 10:10 pm
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    There are 2 small islands in Lake Ontario that has a 32 feet Canada USA border https://www.atlasobscura.com/places/zavikon-island

    Reply
  • July 25, 2019 at 11:42 pm
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    Green area has twice the area the blue area does. To calculate the area of a semi circle you need to multiply pi by the radius squared by 0.5. So basically if you have 3 times the radius, since the difference is exponential, each blue semi circle can fit 9 times in the big semi circle. You have 3 small ones, and 9 – 3 is 6, and 6 is 2 times 3, the green area is twice as large as the blue one.

    Reply
  • July 26, 2019 at 8:44 am
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    Green Area = 3 x Blue Area
    A = (pi)×R^2 & R = d/2
    Blue Area = 3*(pi)(d/2)^2 = 3(pi)*(d^2)/4

    Green Area = (pi)×(D/2)^2
    D = 3d
    Green Area = (pi)×(3d)^2/4 = 9(pi)×(d^2)/4 = 3 × Blue Area

    Arrrrrrgggghhhh….I forgot to cut my areas in half….Math classes were a LOOOONG time ago.

    Reply
  • July 29, 2019 at 4:36 pm
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    I know this answer!

    Reply
  • July 29, 2019 at 10:41 pm
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    Jesus Christ that Google review

    Reply
  • July 30, 2019 at 1:34 pm
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    There's a quadpoint where Mongolia, Kazakstan, China and Russia meet.

    Reply
  • July 30, 2019 at 6:45 pm
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    Green is 3x larger than blue

    Reply
  • July 31, 2019 at 7:04 pm
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    It’s an optic level illusion and the green area is the same as the blue area

    Reply
  • August 3, 2019 at 9:54 pm
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    Spain

    Reply
  • August 8, 2019 at 10:29 pm
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    GIBRALTAR

    Reply
  • August 8, 2019 at 11:20 pm
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    It’s four times bigger boi

    Reply
  • August 10, 2019 at 5:52 am
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    Spain…….

    Reply
  • August 11, 2019 at 4:47 am
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    During high tides the border even become more short

    Reply
  • August 11, 2019 at 3:46 pm
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    This video was not that short

    Reply
  • August 12, 2019 at 7:28 pm
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    The answer to the Brilliant question is the green area is twice the size of the blue area.

    ASSUME:
    *The figure is an exact semicircle
    *The blue area is made up of three congruent semicircles

    PROOF:
    -Declare the radius of each blue semicircle to be x
    -The area of each blue semicircle is (πx^2)/2
    -The blue area is (3πx^2)/2
    -The radius of the large semicircle is 3x
    -The area of the large semicircle is [π(3x)^2]/2 = (9πx^2)/2
    -The green area is the large semicircle less the blue area, (9πx^2)/2 – (3πx^2)/2 = (6πx^2)/2
    -The scale factor of the areas is (6πx^2)/2 ÷ (3πx^2)/2 = 2

    .•. The green area is twice the size of the blue area

    Reply
  • August 14, 2019 at 7:00 am
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    i dont see anyone else commenting on the bomb ass music, and what song it is. i've looked on epidemic but idk which category it's under lmao

    Reply
  • August 16, 2019 at 7:10 pm
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    A corolla is 4,5 meters, the border is 85 meters, 10 corollas: 45 meters. 20 corollas: 90 meters. You can fit roughly 18 to 19 corollas in the smol border.

    Reply
  • August 16, 2019 at 8:33 pm
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    Ayyyyy lets go!!!

    Reply
  • August 19, 2019 at 7:55 pm
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    3 times as big

    Reply
  • August 21, 2019 at 10:40 pm
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    Green is 8 times bigger

    Reply
  • August 22, 2019 at 10:07 pm
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    4:26

    Shouting in the background
    Its 3!

    Reply
  • August 23, 2019 at 2:02 am
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    S p a I n

    Reply
  • August 23, 2019 at 10:32 am
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    What about the Dutch, Belgian and German border in Vaals?

    Reply
  • August 24, 2019 at 8:09 pm
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    4:26 The green suraface is 2 times greater than the blue one

    Reply
  • August 24, 2019 at 10:14 pm
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    Isn't there a quadpoint in the sputh of Marokko with Algeria and two other countries that i don't know the name of😅

    Reply
  • August 28, 2019 at 11:08 am
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    You forgot the little Spanish island called Perejil Island which is the Strait of Gibraltar near the coast of Morocco. Cool video.

    Reply
  • August 30, 2019 at 1:22 am
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    I found the link to the bad review… I paused the video at the that point and saw the caption in the bottom right hand corner, read it, looked for the location on Google Maps, found out it was called the Kazungula Ferry, looked that up, found the lowest reviews through the filter, strolled down a bit, and found the review. Here: https://www.google.com/search?source=hp&ei=tXloXaGxL6ip_QaY0Z7gBA&q=Kazugula+Ferry&oq=Kazugula+Ferry&gs_l=psy-ab.3..0i13l5j0i22i30l5.3828.11060..11398…0.0..0.105.1091.11j2……0….1..gws-wiz…….35i39j0j0i131j0i67j0i10j0i13i30.Vo1_KtaOgcg&ved=0ahUKEwjh35fZtqnkAhWoVN8KHZioB0wQ4dUDCAc&uact=5#lrd=0x195a9f972b0c1b3b:0x3ce8df52a5e6486d,1,,,

    Reply
  • August 31, 2019 at 4:54 pm
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    What about emabasseys they must have they shortest borders

    Reply
  • August 31, 2019 at 6:49 pm
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    Green is twice as big than blue area, 9/2pi(x2) to 3/2pi(x2) if x is the radius of the blue semicircle, so green is 6pi(x2)

    Reply
  • September 4, 2019 at 4:39 pm
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    1/3

    Reply
  • September 4, 2019 at 6:35 pm
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    Blue Areas are 3 times smaller than green Area

    Reply
  • September 7, 2019 at 5:29 am
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    1 star not enough countries touching

    Reply
  • September 11, 2019 at 4:14 am
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    Exactly twice as big

    Reply
  • September 13, 2019 at 12:22 am
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    4:30 it’s 3 times as big

    Reply
  • September 13, 2019 at 4:37 pm
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    whats the middlest

    Reply
  • September 14, 2019 at 3:25 pm
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    https://www.google.com/maps/place/Kazungula+Ferry/@-17.7902545,25.2636301,17z/data=!4m17!1m9!3m8!1s0x1f2cb893f9e934c9:0x38bcab1649b19452!2sZambezi+River!3b1!8m2!3d-14.9818834!4d29.5237367!9m1!1b1!3m6!1s0x195a9f972b0c1b3b:0x3ce8df52a5e6486d!8m2!3d-17.7902596!4d25.2658188!9m1!1b1

    i found it i dont get anything

    Reply
  • September 14, 2019 at 8:40 pm
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    4:30
    1.39 times bigger?

    Reply
  • September 15, 2019 at 5:52 pm
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    Whats the shortest border?

    My 1mm Toy.

    Reply
  • September 16, 2019 at 12:41 am
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    Lol that Google reviewer needs to get a life

    Reply
  • September 18, 2019 at 2:42 am
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    1:55 https://goo.gl/maps/eKx7f4ziA1WN3La68

    Reply

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