NYC: The Linear Equation of Broadway
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- čas přidán 10. 07. 2024
- STREET = 9.975 × AVENUE - 26.5
While in New York City I walked along Broadway with graph paper and plotted where it crosses the street and avenues.
Most of Manhattan is horizontal streets and vertical avenues, but the road Broadway cuts across on an angle. Using the grid system of roads in NYC I could calculate the liner equation of Broadway.
I had some fun with places like Union Square and the Flatiron Building along the way. You can also check-out when MoMath checked the pythagorasness of the Flatiron Building here: momath.org/home/pythagorize-th...
Music by Howard Carter
Design by Simon Wright
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
Maths book: makeanddo4D.com/
Nerdy maths toys: mathsgear.co.uk/ - Zábava
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I can only imagine how awkward filming that was😝
What exactly was the point of walking again😛
+Stephen Halliwell you're talking about new york, nothing is awkward there.
+Somnu Bonel Yeah, this was probably the most normal thing that happened in New York that day.
+Maximum Of Twenty yeah lol, anyone who saw him probably just came from the subway, where they watched some vagrant yelling about jews or something
Stephen Halliwell - As a New Yorker who has seen babbling crazy women spitting on people, a creep who calls himself the Archangel of God, and a naked dude wearing just a thong dancing to Miley Cyrus in broad daylight at one of the busiest train stations... I can guarantee you, nobody would even bat an eyelash.
Does he have a video where he analyzes Paris in polar coordinates?
You Sir gets extra props for an awesome screen name. Long Live the Sun, and its Emperor-priest.
ElagabalusRex we absolutely need this
Moscow would be more fitting
The union square wasn't really a square... Well, i guess we could call it a Parker Square.
Yess!!!!!
Korpionix because this was a fakking year ago
I have always heard that Union Square was named for the "union" (merger) of the Albany Post Road (Broadway) and the Boston Post Road (Park Ave., apparently) which occurred there. Previously, I had thought it was named for the Amalgamated Clothing Workers Union, who had their headquarters there, but it obviously wasn't, since it was called Union Square long before labor unions were a thing.
It's okay, if you get your phone stolen you can just chase after them and lecture them on the importance of community.
ayyyyy
7:00 I know why you got this slightly off; you had shoes on, so you were measuring in shoes, not feet.
You are the only person except for maybe Dr James Grime I can think of, who would do something like this, amazing! I just bought your book and can't wait to read it.
Greetings from Germany!
Hope you enjoy the book! See if you can find Grime; he's in the book somewhere.
+standupmaths thank you, I'm gonna look out for him!
Sebi0043 I read the book and the only place I saw the name James Grime is somewhere in the back.
Sebi0043 No, Clive would do it too.
This is quality youtube :D
+Carl Sagan I strive for high quality.
standupmaths Yet you've made so many Parker Squares
As a New Yorker, I can confirm that NYC is built on a magical cloud. I've heard that extended exposure to cloud dulls your sense of smell so that the city magically no longer stinks everywhere.
Q
i'm sure it doesn't nearly stink as bad as southern italy
I love how you didn't call him out on ''Houston St" being youre a New Yorker n all
I'd love it if Matt started doing Maths based travel guides like this, all over the world.
The fact that every part of this video could have been done just as easily- actually, maybe even more easily- and yet you still took the time to traverse NYC to do this. That's what makes this channel great
Love to see how much Matt loves maths. Not many people could make walking down a road that interesting :)
"Very little multiplication is taking place".
Love it.
This is a Parker square of a vlog if I've ever seen one.
wow just wow
I'm very curious of what everyone was thinking when seeing him do all this mathematical equating. They probably didn't care; stereotypically, they've seen everything so nothing phases them, but at least someone had to have been curious about what he was doing, right?
BTW, in New York lore the statue of Columbus at Columbus Circle is supposedly the point from which all distances to/from the City are measured.
That's absolutely true.
How many stares did you get whilst calculating the Flatiron Building's 'triangularity'? I wonder if stares per side were proportional to each other...
+Matthew Bickley This is NYC, one of the least stared-at places no matter what you do. I'm sure people kept an eye out for him, but not overtly.
I hope there was just this one guy in the building holding a coffee mug and looking at him and thinking "What in god's name?"
It seems that Union Square should have been called Intersection Square!
Well, it is a mathematical union, so either is fine.
+DaneDraws Never mind; I mixed up my union and intersect. Rookie mistake.
Actually, that is the origin of the name. It was actually named because it's the "Union" of Broadway, Park, and 4th Avenues
Yep. In fact, each of the 'Squares' (and 'Circle') in NYC are placed at the intersections of Broadway and an Avenue:
4th Ave - Union Square
5th Ave - Madison Square
6th Ave - Herald Square
7th Ave - Times Square
8th Ave - Columbus Circle
9th Ave - Lincoln Square
10th Ave - Verdi/Sherman Square
There are several counterexamples, such as Washington Square, Tompkins Square, Stuyvesant Square...
This is incredible. I've been to New York City multiple times and didn't know it was built on top of an underground cloud! Thanks for taking the time to make this great video!
I was amazed by the lack of magical-cloud awareness.
@@standupmaths Few people realize that Con-ed supplies magical clouds to heat their homes and businesses.
Blends in perfectly stepping like that talking to himself and scrawling in a clipboard
You are now set to take over as tourist guide of the world after Michael Palin abdicates the throne.
2:55 Of all the places in New York in countless movies, I have never seen 1st Street and 1 Avenue.
4:42 Since I have only ever seen pictures of the Flat Iron building from the one pointy vertex, I thought it was isosceles.
"Of all the places in New York in countless movies, I have never seen 1st Street and 1 Avenue."
Are you talking about films that you know for a fact had scenes filmed in New York?
And I always thought that building was isosceles, too… XD
Thought it was isosceles as well.
Can I just say, the thing I appreciate the most about this channel is the willingness to include the human element in mathematical equations; i.e., while the Flatiron building may not *technically* be a right triangle, for all intents and purposes, it's as close to a right triangle as a human made object can come without intentionally trying to make a right triangle. Would also like to note for those purposes that you in fact measured the space around the building and not the building itself; but again, it's the human element that I'm appreciating. Not everything in life is finite.
A n B is the intersection not the union of the two sets
+Chris Jones Ah Yes! You are correct.
+Chris Jones thats the joke possibly
It's A ∩ B, not A n B. Conversely, it's Rock 'n' Roll, not Rock '∩' Roll. Although I do like the idea of Rock '∩' Roll.
ScoobyDoobyDrew1122 I was trying to be light-hearted about it, what with my joke about rock and roll, but at least I don't go around namecalling people I don't know, unlike CERTAIN people who hide behind pseudonyms.
Oh, and unless you're on like Windows 98 or something, you will have those symbols on your computer and smart phone, so that's a shit excuse. The only excuses you can use for not using them are ignorance or laziness. Both of which are fine excuses, by the way. But even then, there's still nothing wrong about somebody (like me) pointing out the right symbol to use.
+Alexander Krivács Schrøder There actually is something to be said of your pedantry, but it would be rather hypocritical to reverse the books in such a manner :3
Love the committed measuring of the Flat Iron building in "feet"!! I'm going to New York with my girlfriend later this month. Can't wait to tell her about these findings although sadly, with her taking no interest in maths, she'll probably claim I'm being "boring". Oh well, won't stop me telling her anyways!! Awesome video.
+paw101 If it helps, the Museum of Mathematics is opposite the Flatiron Building (across the park). Wait, if she has no interest in maths that may not help. Let me know how it goes!
She has picked enough things to do, I may suggest this one as something for me. Thanks for the tip =D
+standupmaths update!! We have just returned from our first day around New York and we went into the Museum of Mathematics!! Was great fun and she even learned some stuff. Treated myself to a "MoMaths" pen too. Thanks for the suggestion :)
The building was measured in Parker feet
Just don't do any multiplying in Times Square - I think that would be illegal.
I really love this channel! It's so fun and light hearted, you can really see that a lot of work goes into each video! Fantastic job!
what you drew with the ven diagram was an intersection, not a union, right? Union is A or B and intersection is A and B, unless I am miss-remembering...
+Anthony Ferrara You are indeed correct, the union of two sets contains all items in either set.
+Anthony Ferrara Yes, and the intersection between the set { things that you would find in a rectangular venn diagram } and the set { places in NY } contains Union Square.
+Anthony Ferrara Yes, this is very true. I have gone for the ∩ while talking about the ∪. I let the fun of the pun overtake my pedantry. Slightly in my defence, the intersection is part of the union.
standupmaths Completely fair, wasn't really a criticism, more just making sure I remember correctly (since I have been talking about this recently).
On a side note, thank you for being you. I'm a huge fan, and really enjoy your commitment to learning, teaching and staying fun and light. Really awesome. Thanks!!!
+standupmaths i genuinely laughed out loud.. its currently midnight, and my parents have asked what I was laughing about
This was so pleasing, math and places together is great, please do more!
I'm no good at math, but numbers fascinate me. Just found this and subscribed. Come to Las Vegas and do something with % and random numbers.
+Kathryn Blodgett I was over to do a show in Vegas last July! Was great fun. I'm sure I'll be back sooner or later.
I always wondered why there was steam coming out the ground. It's now obvious.
this is just too awesome for words
Matt, great vid. I added (8,59) to the plot. R^2 drops to .98641. 8th and 10th really screw things up. R^2 = .9986 otherwise. Love this stuff. Keep it up!
Living by NYC, this is really interesting! Time square is a drag but a walk up broadway for a day is a good way to have fun!
This must be the coolest video I've seen all year
1:26 It's actually pronounced House-ton street. The city in Texas and the street in NYC are named after two different people who pronounced their names differently.
Ok. Now I have to visit NYC to check it myself. Thanks Matt!!
I enjoyed this video very much. Nice work.
Today I bought your book.
Because yes, you're amazing.
I think you're on the funniest CZcamsrs not only that but I'm so happy that I've found someone with the same wired pleasures as mine! Please keep doing it!
Matt, you are awesome! Love this video, need more videos like this from other places around the world!
When you come back to Singapore I'll help you out!
Awesome! I love the style of your videos
Freaking awesome
Linear regression has never entertained me that much before :)
putting a thumb up for r^2 being equal to 0.995
You're ridiculously good at amusing yourself, aren't you?
(This is a compliment)
I love how he could have used a map/satellite image and been more precise, but no, this is Matt Parker. He had to fly to New York and walk it, missing a couple streets along the way. A true Parker Equation.
This is awesome. Really enjoyed this video and loved union square
+thec00kiem0nst3r I also loved Union Square.
BEST MATHEMATICIAN EVER! 😂😂😂 You are such a cool dude
Why can't I like this more then once? I need to like this more to give this video justice.
This was awesome.
Adding this to my watch later while listening to your podcast😅
I love it! I was in NY for the first time a few month ago and I was amazed by this "grid system" for street. It's so practical! I mean, if you know a little bit the city you can deduce where a place is just by looking at its address.
I find it delightfully practical. I love living in London with its confusing, tiny streets. But as a tourist: grid all the way.
In late 90's one of my US collegues was visting Germany in summer time and tought that he'd bring his family here and they have their vacation traveling all over Central Europe. He wondered why was it that when he had asked Hertz to give him GPS-maps for Central Europe he'd got a folder with CDs and wondered why even Germany was on two CDs telling that the whole US-Canada GPS map takes only two or three CDs. I pulled my London map book which I carried with me almost all the time and showed him that there is twenty pages of maps in that book and 250 pages of the street directory. He understood that there is magnitudes of difference in the number of streets in Europe vs. streets in US-Canada.
International Man of Mathematics. Love it!
this dude genuinly makes me love maths :D
That's 25 seconds of that awesome Standupmaths' theme tune - but I won't go and steal it. When will you let me buy it as a ringtone?
That's a lot of hard work ! Appreciate your enthusiasm :D
Another fantastic video ! Will surely keep me interested in Linear Equations for the coming Exams.
+SChaz It was a lot of walking! Broadway is one long road and I did not even walk that much of it. PS All the best in your exams! Do an hour of study for me.
+standupmaths Absolutely Sir !
This was so good! :)
For those not familiar with NYC, the total walking distance (neglecting side trips) is about 5.7 miles/10 km. Just getting diagonally across Times square is exhausting.
10 km = 6.2 miles
Love the music. Original.
The whole concept of this video, the quantity of puns, and your face at the all Union square thing...seriously, I was hardly keeping tract. Loved it XD really excelled yourself...can we expect and increase in puns in FOTSN this year? :p
+Claudio Arena Thanks! And the current Spoken Nerd tour is called "Just for Graphs", so we're certainly going for more puns than normal.
Incredible stuff
+LiAh Sheep Don't thank me, thank the Commissioners' Plan of 1811.
awesome! thanks Matty!
+Molly Ringwald No worries Molly!
This was excellent.
Guess you've not seen google street veiw before... All-the-same, it's nice to see the rare, real life, applications of maths.
I enjoyed your book. Using the laser cutter at my school, I made those rolling interlocking disks. Fun!
Awesome Video! im 17 and love this kind of real world mathematics!
Broadway tracks the original path that animals used to travel through the forests, exposed bedrock, and swamps of the island. Then, the Native Americans that lived on the island made it more of a trail, presumably following the animals on hunts. When the Dutch established a colony, they coopted the trail and it became the main road to leave the island when traveling north up the Hudson River valley. So you have the animals and the topology of prehistoric Manhattan to thank for Broadway's eccentric meander across the island.
This is so awesome
+Ryan Welch Correct!
You are so awesome.
So cool!!
fascinated by your passion, visible at 4:36 :)
definitely one of my favorite videos so far, prove people wrong about maths not being relevant in the real world!
Bro, you rock
You should do this in Chicago. After the fire we put an ever better grid into place, and even better, the address numbers all depend on the distance. Every block (mostly) is 100 numbers apart, and every 8 blocks or 800 numbers you've gone a mile. We have a couple Broadway-like streets that cut diagonally across the grid too that you could easily figure out the equation for.
Or better yet, I could just do it myself. To the office supply store! I need some graph paper!
Let us know what happens
I whipped out my ti-83 and used a linear regression to find a line of best fit using the points that you graphed, and I got STREET = 9.814 x AVENUE - 25.727
(or simply y=9.814x - 25.727) and it's r^2 value is 0.998. I understand that you calculated this by hand, and even still, you got pretty close.
+standupmaths More linear equations: In Manhattan, the building number on an avenue is 20*(street) + P, and the building number on a street is 50*(avenue) + Q. Lexington and Madison count as 3.5 Avenue and 4.5 Avenue. York Avenue is zero, and Avenues A, B, C, D are 0, -1, -2, -3. Riverside Drive, 5th Avenue and Central Park West (8th) are exceptions, the slope goes to 10*(street) on a "one-sided" street.
Q is -500 for all the streets. P varies with the street. Broadway, predictably enough, has discontinuities at Union Square and Madison Square. (Oddly, the numbering is much more consistent through Herald Square, Times Square and Columbus Circle.)
When I lived in New York, I carried a little card in my wallet with the value of Q for each of the avenues. That was all I needed to find a street address. en.wikipedia.org/wiki/Manhattan_address_algorithm
And as many people have pointed out - it's HOUSE-ton street, and predates Texas's Sam Houston by over a century.
I finally understand the concept of "satisfying" videos.
Tour through my home town :)
In case anyone was wondering, a much more accurate equation for Broadway street is the following: y=9.8136645962733x-25.726708074534.
If you say y=STREET and x=AVENUE, then:
y = -9.975x - 26.5
The part of the x-axis that you are on is negative.
This is a fuckload more amazing than it looks.
This now adds another reason for me to visit NYC, making it two.
I see you first time in TV show in Discovery Channel (You Have been Warned) , Since then I am following you :D
Epic video! =)
you are THE BEST
You're fricking awesome
Awesome video! Really interesting :)
+stefanilserbo I interested me enough to spend a day walking up Broadway so I hoped it would be interesting to other people as well!
+standupmaths The next time invite me, I would be pleased to join you as an assistant on your adventures!
Great video :D
You have a very strange brand of humor but, I totally dig it. Great vid.
We think of the Manhattan grid as having avenues running north/south and streets going east/west. In reality it is all tilted about 30 degrees such that avenues run sort of SW to NE. HOWEVER, Broadway is a lot closer to being truly north/south - especially al the way down town. This is because it started out as a warpath. Traditional warpaths ran north/south while peace paths ran east/west. The early European colonists, fearful of the native peoples, built a wall on the current site of Wall Street to protect themselves from war parties. I read this in history book so I think it's true!
brilliant !
STREET = 9.975 × AVENUE - 26.5 (10
This guy literally plotted and found the linear equation of NYC.. he's a legend.
9:43 this is sooooo cool!!!!
Whoa!! Putting Union Square in Union Square while being in Union Square... that's like so meta!
Awesome!
The best NYC tour I've ever seen.
Didn't people stare at you watching you measuring streets in feet? XD
+Alejandro Apellido Yes, I did get a lot of very strange looks. But my dedication to precision overcame my social awkwardness.
+standupmaths Sounds amazing. Did you take into account the distance from the wall?
Anyone who actually lives in New York should be used to strange people on the streets. xD
+Ninjastripy Hahahahahahha
good stuff.
so good
matt Parker : man of international mathematics
Now there is some proper MATTematics
Using the cosine formula you can also calculate the exact value of the "right" angle. I got about 89,795 degrees - not quite sure how many significant figures you get with that method of measuring, though...
Matt, you forgot to carry the broken dreams of so many Broadway actors.
The mighty Matt strikes again! hahaha
+Shaun Lim I strike with maths wherever people least expect.
+standupmaths Btw, have you heard about the constipation math theory?
+standupmaths You've guessed it, it never came out!
Next up is to multiply the length and width of Times Square to get the area
Or better yet, list perfect squares for 1 hr In Times Square
Going back to 8th Avenue via the equation we get 53rd Street, although the actual intersection is Columbus Circle on 59th Street. Broadway has some planning errors.