Why following your compass will (almost) always lead you to the North or South Pole | Math of Maps

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Опубликовано:

16 май 2024

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Комментарии : 124

@mgm6723 3 месяца назад

I straight up forgot zach can and will make serious videos sometimes

@JustInTime0525 3 месяца назад

Only when he's willing and able to ayha ;D

@no_name4796 3 месяца назад

He is able and willing to do serious videos

@mgm6723 3 месяца назад

Darn, can’t believe I missed that

@_LBH_ 3 месяца назад

He's able and willing to make serious videos

@readjordan2257 3 месяца назад

Just when hes not "himself". 💹😂

@-w-3253 3 месяца назад

I can still hear the sarcasm in zach's voice even in a serious video

@HelloIAmAnExist 3 месяца назад

All I learned is that if I want to navigate anywhere I should just fly to Lisbon first

@YoungGandalf2325 3 месяца назад

It might be difficult for a sailor to stay on the Rhumb Line when it's rum time.

@furnaceheadgames9001 3 месяца назад

As of writing your comment has 69 likes

@YoungGandalf2325 3 месяца назад

@@furnaceheadgames9001 Nice 👍

@Iosaiv 3 месяца назад

Aaaarghh

@_abdul 3 месяца назад

Thanks to Zach for being Able and Willing to make these videos.

@HDTomo 3 месяца назад

And for being able and willing to understand map projections

@yiddishlearner 3 месяца назад

Mercator’s projection of Greenland and Russia is so cursed

@aland.9060 3 месяца назад

Many countries are cursed by this projection. For example, when you look at Germany it looks close to the size of Turkey but in reality, Turkey is almost twice the size of Germany. Also, Europe seems a little stretched out and different from its real form. There are many misrepresentations of reality that people don't really notice but Russia and Greenland are just on the levels of absurdity.

@o_s-24 3 месяца назад

And Canada amd Alaska

@smart-ass8518 3 месяца назад

Embodiment of the quote "The map is not the territory."

@aramilneogi2275 3 месяца назад

I feel like Zach got annoyed at a flat-earther and decided, probably after a breathing exercise or two, to be the adult in the room and break it down instead of just call the person an idiot..

@HelloIAmAnExist 3 месяца назад

The best way to go straight from point a to point b is to drill sideways through the ground

@mikefochtman7164 3 месяца назад

True, but you would need the Azimuthal map to know which direction to drill, and some 'math' to figure out what angle so you pop back out in the desired spot.

@locrianphantom3547 2 месяца назад

Might as well just appear at point b upon waiting no time because it’s more efficient.

@okaro6595 3 месяца назад

There is no North Pole in the Mercator projection as it would be infinitely far away. It has to be cut at some point. Once you go fair enough a single snow flake will cover the entire width. Typically it is cut so that only the tip of the Greenland is shown.

@AwestrikeFearofGods 3 месяца назад

Reminds me of when my 2nd grade teacher (the penguin fanatic) taught us that Antarctica was the largest continent. I don’t recall a globe in her classroom.

@JefferyMewtamer 3 месяца назад

I wasn't taught it, but when I was in second grade, I thought Antarctica was the largest continent because of how distorted it is on a rectangular map and how it being nearly invisible on the bottom of globbes that only turn on the Earth's axis of rotation(I was older by the time I encountered a globe that could tilt to give a better look at the shouthern hemisphere.

@risingbob5230 3 месяца назад

Finally a new Map Men video!

@cagrdelihasanlar5698 3 месяца назад

3:15 actually any azimuthal projection would give you the answer but I would choose the gnomonic projection instead of the azimuthal equidistant bc the gnomonic projection projects ALL great circles as straight lines so you're not limited to Lisbon or Washington DC as the center point. You can choose any point for the center point as long as both Lisbon and Washington DC are on the map and you would be able to find the shortest route between them

@2bfrank657 3 месяца назад

Interesting. What gets lost if you make such a change of projection? What is the downside?

@cagrdelihasanlar5698 3 месяца назад

@@2bfrank657it can only show at most the half of the earth (showing exactly half requires infinite surface area) also the distortion becomes real bad at the edges

@randomviewer3494 3 месяца назад

I can't wait for the Zach Star Himself video about flat earthers who just can't read a map during a roadtrip.

@JoeBob79569 3 месяца назад

It's such a trip hearing Zach make a serious video, it's like you're waiting for the punchline that never comes.. But that said, these are really interesting videos, although I feel like I know less about maps now, than before I started the video! Or maybe it's just that I realise now how much I _didn't_ know.

@ExplicableCashew 3 месяца назад

7:20 my eyes literally went as wide as they can go. It's always fun when you *think* you know a fair amount about a certain topic, just nod along to the video and then bam, things are put in a context you didn't know was there

@denelson83 3 месяца назад

8:17 - Error. The top and bottom of a regular Mercator projection map _cannot possibly_ be the North or South pole, because in that projection, the poles project to infinity.

@Nilpferdschaf 3 месяца назад

To add a bit more context: A true mercator projection would stretch infinitely in both vertical directions, so most maps that use that projection are usually cut off at some latitudes. The map he's showing is most likely a webmercator projection, where these these latitudes are picked to make the whole thing a perfect square (I think it also assumes the earth is a perfect sphere)

@readjordan2257 3 месяца назад

It is because if you use a regular Mercaror map main displaying the antarctic, then guess whats in the center? The south pole.

@denelson83 3 месяца назад

@@readjordan2257 No, I meant with the cylinder tangent to the equator.

@thatsmyopinion406 3 месяца назад

Zach's videos are a gold mine, so rare and awsome to find.

@PastPresented 3 месяца назад

7:04 Measuring the angles of celestial bodies relative to the horizon predated the sextant by many centuries. Most used the principle of a weighted pointer moving against a curved protractor-style scale, though a device called a cross-staff relied on perspective instead, which helped to nullify the effects of the ship's rolling motion.

@mikefochtman7164 3 месяца назад

And the astrolabe. Measures altitudes similar to a cross-staff, but included several other useful features beyond just angle measurement.

@PastPresented 3 месяца назад

@@mikefochtman7164 "Several" undersells it! Geoffrey Chaucer, in addition to _The Canterbury Tales_ wrote an instruction manual explaining nearly 50 uses of the classic astrolabe (note though that the sailor's astrolabe tended to be simpler than that, optimised for the functions useful in navigation)

@EverythingTechTime 3 месяца назад

I love that Zack is both willing and able to make serious videos sometimes

@maxime1776 3 месяца назад

Haha

@candyts-sj7zh 3 месяца назад

I forgot he’s actually an engineer other than being a great comedian

@ValkyRiver 3 месяца назад

The reason why most mapping softwares use the Mercator projection is because Mercator is the only projection that preserves angles and has consistent compass directions (Note: viewing a globe on a 2D screen results in a central perspective projection)

@erathostenes-geografounpro6871 3 месяца назад

Thank you so much for the video, i am going to wait a lot for the math explanation, i studied geography at university but i want to improve on my math skills and you have been my favorite youtuber on the area since i met your channel, please keep doing great videos

@nk4j272 3 месяца назад

fsr I'm afraid people on the bus are thinking I'm a flatearther

@Zandezz. 3 месяца назад

Glad to see you upload to the second channel again

@marc_frank 3 месяца назад

i really like the triptychial projection by Björn Grieger but since i'm doing my boating license i gotta use the merkator plotting a course and measuring distances is pretty easy

@shrankai7285 Месяц назад

Nice video!

@tobybartels8426 Месяц назад

A correction about the North and South Poles on the Mercator map. They're not just reduced to single points; they're also (because of the yhdistortion) infinitely far away. You drew the North Pole as if it were at only a finite y-coordinate, so the diagonal rhumb line eventually hits it. But actually, it's infinitely far away so that the rhumb line will go around and around infinitely many times before hitting it. That's why rhumb lines don't just reach the poles; they spiral into the poles, going around them infinally many times before hitting.

@frusie91 3 месяца назад

Much better Zach! This type of content

@Daviticus042 2 месяца назад

"Let's say you were standing in Lisbon, Portugal and had a super powerful catapult and wanted to hit Washington, DC as many people do."🙂

@Adam-gd6pp 3 месяца назад

Correction: The north and south poles are not where you showed them on the map, but infinitely far up and down. This follows from the equation provided.

@Bob-xv6un 3 месяца назад

You should remember, that Magnetic Pole(compass) is not the same as Geographical Pole(pole on map). Not only it's not the same, but also magnetic field is constantly changing it's position(you can find it's route for the past centuries online). That's why all modern compasses in planes and ships are gyroscopic and require electricity. So, you should take it into account when planning very long routes(if going to use magnetic compass) for thousands of kilometres and make appropriate corrections. That is why old sailors vere relying on stars more then on compass.

@mikefochtman7164 3 месяца назад

While ships use gyrocompasses, most small planes do not. They have a 'heading indicator' that uses a gyroscope, but is not itself 'north-seeking'. It has to be reset by the pilot about every 15 minutes based on the magnetic compass also in the cockpit. Courses on flight nav maps and the headings painted on the ends of runways are in megnetic heading.

@ImPuLsE93 3 месяца назад

I wasn't expecting a serious educational video... good stuff.

@bruce-le-smith 3 месяца назад

this was super interesting, thanks!

@miguelbatista535 3 месяца назад

Lisboa mentioned Caralho❤

@duckydude20 3 месяца назад

wow, thanks man. that country comparison. is it a web app or something.

@mrfancyshmancy 3 месяца назад

There was a post on insta (yes ik tha hellhole) abt this being disingenuous abt maps and saying 'they are lying to you' (which we all know is wrong, they don't lie. All they do is teach thus in schools so if you don't know this then that's on you) anyway one of the comments was someone complaining that 'why is it all first world countries that have been enlarged' and in her replies complaining abt how racist it was. They just didn't want to understand that the enlarging of countries is purely related to location😂

@johnsavard7583 3 месяца назад

Not azimuthal equidistant to find a true great circle path, because that would show the equator isn't a great circle. Instead, think of one where the equator isn't on the map, but at infinity. The gnomonic projection is the one you have to use.

@shashanksam 3 месяца назад

thanks for the amazing video, loved it

@lolphenomlive 3 месяца назад

i love Zachs videos❤

@I.____.....__...__ 3 месяца назад

I thought this video was going to be Yet-Another-YT-Video-About™ map projections and how they're all inaccurate. I was pleasantly surprised that this video was actually something more than the usual and had a novel and interesting take on the concept that actually grabs your attention and makes you think. 👍

@agargamer6759 3 месяца назад

It's starting to make sense now

@koks49045 3 месяца назад

this is the very first time i see someone mentioning "sextans" in real life, many years have passed since i played gothic II.

@juaja1197 3 месяца назад

Weirdly enough, I heard the word earlier today for the first time, when my quantum physics teacher used it as an example of how SU(2) and spinors were commonly known and used, even if not in the same way we know them today, way before quantum physics or even lie theory was well known. The sextant was his example of how this representation of the rotation group was used by engineers all the way back in the 1700s.

@alitheeternity4230 3 месяца назад

4:04 ah yes the annoying wind.

@jtgd 3 месяца назад

1:09 hmmm. Whats the earth’s tilt in degrees again?

@proxyprox 3 месяца назад

8:15 That is completely incorrect. The Mercator projection cannot show the poles. They are infinitely far away from the equator.

@bim777 3 месяца назад

if you travel to that line, you are on the pole

@Bob-xv6un 3 месяца назад

It sounds like the situation with the letter 'N'(north) in the minimap of GTA SA which is unreachable and generated a couple of memes)))

@gregorymccoy6797 3 месяца назад

Just when I think I have a handle on things, someone shows me how clueless I am.

@foolish415 Месяц назад

makes you wonder. how do things like radio waves go over the earths curve, if they have to stay in a straight line. i guess in the Y direction.

@josephhobbs4680 3 месяца назад

How are you getting along with algebraic topology?

@Kaviranghari Месяц назад

surprisingly, his science content is also good.

@HTV-2_Hypersonic_Glide_Vehicle 3 месяца назад

Great video! I'm sure no flat earthers will contest this 😅

@_______a 3 месяца назад

What if we invent a map more like earth's shape. Idk, something like a ball or sphere could work... could call it a globe even

@edudmodnar4661 3 месяца назад

It still wouldnt work perfectly. Since the planet is not a sphere, is more like a a basket ball that Lost a lot of air

@nickwilliams2745 3 месяца назад

@@edudmodnar4661if we’re being “umm actually” here might as well bring up that while it’s not a perfect sphere the deviations are so minor that anything the size of globe would have deviations that would be essentially imperceptible

@88porpoise 3 месяца назад

@@edudmodnar4661If the earth were the size of a basketball (using the maximum size of a FIBA men's basketball), the equatorial radius would would be 0.4mm longer than the polar radius. Yes, the earth is technically an oblate spheroid, but it is extremely spherical. It is close enough to a sphere that, unless you are doing some very specific things, you can safely assume it is a sphere.

@ernestooscarpatrono9070 2 месяца назад

I love your voice

@jebkermen6087 3 месяца назад

I like this zach.

@EduardoLauandeTeixeiradeSouza 3 месяца назад

Is there any relationship between this matter and the notions of Ricci tensor and other matters related? If yes, is there any chance to explore this relationship in another video?? 4:48

@leonardp8517 3 месяца назад

Kind of? You can calculate the Ricci tensor components for any coordinates, such as the ones on these maps. I recommend this video/the series it belongs to: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-ZhDNijOEw0Y.htmlsi=xxtAhU0gwHbvoiz0

@Petch85 3 месяца назад

0:30 🤣

@MareeCK2409 Месяц назад

I crossed the equator in Indonesia on a boat a few years ago. There was no red line. Very disappointing. 1/10.

@wasted3secondsreadingmyuse30 2 месяца назад

Is no one gonna talk about the “wanna hit Washington DC as many people wanna do” joke?

@j.n.-fr5uh Месяц назад

"that will be the topic of an upcoming video" when

@edwardsimpson119 2 месяца назад

0:05 What is this I don't even...

@nathan1sixteen 3 месяца назад

Trying to explain this to flat earthers is painful. They truly believe that the flat map from the North Pole looking down IS the map

@CallOfCutie69 3 месяца назад

4:27 looks like a Poincare disk…

@CallOfCutie69 3 месяца назад

But also kinda not, since Australia at the edge is so large..

@robegatt 3 месяца назад

To all flat-earthers : you're right pal.

@lilyzheng2322 3 месяца назад

I thought of flat earth didn’t know you would

@hgman3920 3 месяца назад

Why is the Rhumb always gone?

@ketsuekikumori9145 3 месяца назад

I keep expecting a flat earth joke. Like Zach is trying to explain non-euclidian geometry to a flat earther. Actually, similar to how you did the invention of numbers, you should definitely do a skit where a non-euclidean geometrist (if that's a word) is trying to explain is worldview (pun intended) to an euclidean geometrist.

@driptcg 3 месяца назад

Nice video

@ALROD 3 месяца назад

Ok, I get it, Earth is complicated.

@theastuteangler Месяц назад

Whoa whoa whoa, hold on a minute. Flat Earth said...

@nickwilliams2745 3 месяца назад

Flat earthers are punching the air rn

@pierfrancescopeperoni 3 месяца назад

This was so funny 😂

@blinkblik6924 3 месяца назад

You're valid

@drexis.rhexis1027 3 месяца назад

I can never infect greenland

@PPedroFernandes 3 месяца назад

PORTUGAL! WOOO LET'S GO

@FanTazTiCxD 3 месяца назад

The way Zach speaks, you constantly think he is trying to be sarcastic or mocking something, and the joke is just about to be delivered in a moment... You have to keep reminding yourself, that this is not the channel where he makes fun of stuff

@tarrySubstance 3 месяца назад

Interesting.

@LeventK 3 месяца назад

Once I have heard the reason why we use this technique is because it makes Africa look small, so the starvation there is underestimated. Feels like a conspiracy theory but idk

@88porpoise 3 месяца назад

Not really. The map was adopted because of navigational benefits. Why it became the default map for all purposes is a bit hazier. It's use as a maritime navigational map (the predominant use of a world map back in the day) is likely a major reason. And its generally maintaining the shapes of countries is useful in an educational environment. At the same time, it making Europe larger was likely a significant factor in its popularity. Not necessarily from any desire for Africa to be small, but it simply made it easier to see European countries and such on a map in a Eurocentric Western World.

@duderyandude9515 3 месяца назад

Gonna send this to a flat earther and blow their mind 😂😂

@okaro6595 3 месяца назад

Only Americans use the Mercator projection.

@alitheeternity4230 3 месяца назад

5:00 IN FLERF NEWS, zach star says flat earthers are absolutely correct and neil degrasse tyson is ...... Juat annoying.

@raghavsrivastava2910 3 месяца назад

First!

@michaelchen6739 3 месяца назад

A bunch of mumbo jumbo

@xxslayer255xx 3 месяца назад

Great video but it all hinges on the assumption that the earth isn't flat. Would've liked more discussion on that topic

@killianobrien2007 2 месяца назад

Remember what he said about flight times? We know the distances on a flat earther's map do not line up with real flights, which work out when plotted on a globe