Cambridge has a new mathsy train station
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- Опубликовано: 3 окт 2024
- Cambridge North is the new train station in Cambridge which features a mathematical design. The architects said the design was "derived from John Conway's Game of Life". Except it's not the Game of Life. It is Stephen Wolfram's Rule 135.
Find out more about Rule 135 (or Rule 30, which is the same thing with the colours swapped) en.wikipedia.o...
Here's is Stephen Wolfram's reaction on his blog blog.stephenwol...
Thanks to SRD who spotted this on twitter / 866707269299339264
Here is the architect's website about Cambridge North www.atkinsgloba...
The architects respond in the comments under this article aperiodical.com...
"Let me assure you it is the correct answer. We turned the pattern through 45 degrees, distorted the pixels to a slightly elongated diamond and played about with the panel dimensions to ensure the maximum gathering of openings around eye level for the passengers using the station. What we liked most about rule 30 was it was as close as we could find to a “random” non repeating pattern.
Quintin Doyle, Senior Architectural Designer, Atkins."
The irony is, Stephen Wolfram went to Oxford.
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Corrections:
I misspoke three times. Silly mistakes, but more than usual, and quite close together. I miss RUclips annotations, that would have sorted it out.
"John Conway was" - That was definitely a slip of the tongue. My mind was picturing 1970 so was speaking in past tense.
"Take that Oxford" - I thought that was quite funny. Apparently Oxford has two stations too. So that spoilt the joke.
"Stephen Wolfram is American" - He was British, and is now an American citizen. People didn't like me calling him American.
And a personal request from me. When you comment you are talking directly to me. Please be respectful. I make videos in my spare time and for fun. I'm just a guy.
"Take that Oxford"
Lizard Baron Oxford parkway :P
Penrose tiling, take that Cambridge.
Bicester has three now
Fun fact: Storey Hall at RMIT in Melbourne (Australia) is designed with Penrose tiles. I'm not sure what this has to do with RMIT.
Doesn't that make it Tricester?
Some PR person probably heard it explained as "a bit like Conway's Game of Life" and thought "oh I've vaguely heard of that", and so it stuck.
These 1-dimensional games of life were directly inspired by Conway's game, so it's really not very far off.
It could actually be rule 135 run in Conway's Game of Life. You'd need to subsample the grid to hide the additional structure though.
okorok Even better: it's rule 135 run in Conway's Game of Life. This is the initial state.
Seems like a Parker Square of an architecture project.
Sean M critiquing some abstract art are you?😋
Oh hai there.
Always nice to meet people outside of Facts. channel :D
0:20 "John Conway `is` a british mathematician"
John Conway is still alive
Is he still an active mathematician? If he's retired, that would explain that he 'was' a mathematician.
Yes, I also noticed that and I had to check to make sure that he is still alive.
As soon as I heard John Conway WAS, I paused the video and went in a hurry to wikipedia to see what happened... I'm glad it's nothing
You can certainly quit getting paid for being a mathematician. I suppose in that way it's like being a musician--you keep playing whether or not anyone is listening.
Is he still British?
"John Conway was a British mathematician". That "was" made me google if the poor fella died.
woo, semantic ambiguity
:(
Sadly he died because of corona
finally a new video by u ...been waiting for it for months!
I know u must be busy bt plz keep posting videos ...I just love them!!😍
cherry taly *for months
Sebastián Espejo Loyaga ...okay bro?
Agreed!!!
+
Interesting, I had never heard of this rule! For those who prefer to remember the rule using logic: if you name the pixels A, B and C, then the rule is A XOR (B OR C) (where white pixels are true), if I am not mistaken.
I don't think thats right. If labeling CBA from left to right, I get ((A NAND B) AND (NOT C)) OR (A AND B AND C) although they might be equivalent
010 also becomes 1. Also, 110 and 011 are symmetric, but their output is not the same, while the equivalent is not true for 001 and 100.
@jonlottgaming I've worked out your version, and it is also correct. You labeled the pixels in the opposite order I used, and you considered black as true, whereas I considered white as true.
Ah ok, that makes more sense! I said black was 1 as the output at the bottom is black when the 1 is underneath at 1:29.
Indeed. If we want it to be called rule 135, it has to be black == 1 :) Where I work, I am used to white being 1, that's all. With your labeling CBA, and black == 1, it can be further simplified to (A AND B) XNOR C, or (A && B) == C, if you prefer.
The difference between Cambridge and Oxford is that Oxford mathematicians can count to two. Oxford, Oxford Parkway. :p
Jake Staines It is a London airport; it's just not an airport in London
***** Shit, i am unbelievably stupid
Technically Oxford Parkway is not in Oxford. It's in the hamlet of Water Eaton.
Oxford, Oxford Parkway, Oxford Oxford, Oxford Parkway Parkway, Oxford Parkway Oxford, ...
+Eddard Stark As indeed is Oxford Airport, or to give it it's full name, London Oxford Airport. Take that Cambridge with your puny Cambridge International Airport! (What is it with these dumb airport names?)
Yay!!!!! James is not dead!!!!!!
I look forward to more videos
I love the coincidence of finding this channel twice; once through mismag822 and mathemagic and the second through Brady's videos on numberphile. I wonder how many other people can site two unique means of discovery to this channel.
Glad to see a new video from you. It's those little things that keep me motivated to learn new things I would never have found by myself :-)
I'm just happy to see that you're alive! ;)
Please post more videos!!!
Can you explain how rule 110 can be used to simulate computer programs or do calculations?
connorp3030 yes. My question as well. I presume it's because the rules effectively reflect logic operators - AND, OR, NAND etc.
connorp3030 If you are impatient you could search for book New Kind of Science by Stephen Wolfram. If I recall correctly there is explained why rule 110 is Turing complete, ie. why it could be used as a computer (very impractical one).
Yep, rules can be used as logic gates, so you can create a basic RISC. Completely impractical, as Pavle said, but could be fun to make a compiler/interpreter for (I might just try that).
That Guy nice profile pic 😀
From Wikipedia: "[Matthew] Cook proved that Rule 110 was universal (or Turing complete) by showing it was possible to use the rule to emulate another computational model, the cyclic tag system, which is known to be universal. He first isolated a number of spaceships, self-perpetuating localized patterns, that could be constructed on an infinitely repeating pattern in a Rule 110 universe. He then devised a way for combinations of these structures to interact in a manner that could be exploited for computation."
Source: en.wikipedia.org/wiki/Rule_110
It provides the following links:
en.wikipedia.org/wiki/Turing_complete
en.wikipedia.org/wiki/Tag_system
en.wikipedia.org/wiki/Spaceship_(CA)
Great to see you again. And in the same RUclips proposals list a video by Geoff&Vicky aka All The Stations.
I tend to prefer rule 150, partly because it is its own color-swap rule (unlike rules 30-135) and is also symmetric left-right.
And I love how, starting with a random sequence, it produces black triangles and white triangles everywhere.
nice to see this channel still lives :)
So happy to enjoy a new video of Mr Grime! And something interesting I didn't know about, and that I'm going to have fun researching and learning about! :D Thanks for sharing!
I am always excited to see you've posted. Off to make a bunch of rule-based graphs!
Your videos are fantastic. Please continue to share your awesomeness.
you are here, oh my god. Thank you forma coming
My man James you are a true soldier and true citizen . your service to community is priceless.
And now it is 3 years and 2 weeks old for those of you viewing this in June 2020
Oxford has TWO railway stations. The new one opened in last 2015
Good to see a new video on your channel, but I'm glad that there are now several months between videos--easier to keep up with that way. It's a good thing you aren't letting commenters pressure you into uploading more often, as the quality would almost surely decrease and people would end up taking them for granted, like those numberphile videos that come out all the time....
Your sarcastic comment won't help.
Sorry, wasn't meant to be obnoxious. I really do get overwhelmed with keeping up with certain things at times. I realize that this isn't your job and I'm grateful for all the videos you've made, as I said in an earlier comment (Fancy Dance 2009).
+senc1971 Then I am sorry!
oh man i would love to have seen him talk more about this like i wish it was a 30 minute video as opposed to 3
On another site someone posting as "Quintin Doyle, Senior Architectural Designer, Atkins" says its Stephan Wolfram's Rule 30. They posted "What we liked most about rule 30 was it was as close as we could find to a 'random' non repeating pattern."
If you use the average value in gray scale, that simulates a burning flame surprisingly well. Old demos used it all the time back in the last millennium.
awesome! I would love to try this.
Please. Oxford has had a second train station (Oxford Parkway) for quite some time.
Technically Oxford Parkway is not in Oxford. It's in the hamlet of Water Eaton.
Great to see you are uploading videos again!
Such an affable person and a pleasure to listen to! I was never good at maths but no matter! Thank you
Sorry James, Oxford also has 2 train stations now: Oxford and Oxford parkway...and its second station opened before Cambridge north.
Cambridge North is actually in Chesterton not Cambridge
I lived in Cambridge, I yelled at you while running past the (old) station a few months ago! Good video :)
Endlich gibt es wieder Video von dir! Bitte mehr davon.
Waiting for a singingbanana video is the most exciting maths adventure on the internet. Do more puzzles they are fun!
I'd like to point out we have Oxford and Oxford Parkway as stations, so as usual Cambridge are playing catch up.
+danielthebingham Are they mathsy train stations?
singingbanana sadly not
Technically Oxford Parkway is not in Oxford. It's in the hamlet of Water Eaton.
Great to see a new video!
Messing around with this, rule 154 produces Sierpinski's Triangle if you input only one cell filled in! Neat.
very neat!
he's back!
Ahh I was just in Cambridge! I didn't know about this! Dammit
Fascinating subject, and a fascinating video. Thank you.
However if you take a finite number of squares in a line like here, there will be a moment where you'll return on the initial configuration, so the model is condemned to repeat
W30 is the B/W reversal of W135 shown here, so that could be an "almost valid" description!
Fascinating as always!
Rest in Peace, our John Conway.
This video came up in my feed. I saw a RUclips video on "all the stations" (Geoff Marshall) regarding this station, and they mentioned the patterns but didn't give much away.
This video was good, but for the layman. It was a bit of a fast explanation. It's triggered my curiosity so will look into more. Good enthusiasm though!!
hmm I created this by accident when I was making a game of life program years ago. Had no idea it was its own thing.
Welcome back Master!!!
That suspense before the 'thanks for watching' had me worried :P
8 month upload schedule. noiiice!
I'll definitely get around to implementing game of life... Tomorrow....
Now all we need is an "unpause simulation" button and the pattern will become that much more interesting!
Unless of course it's a pattern that will eventually die off...
Welcome back!
Of course, Oxford also has a second train station. As with many efforts, Oxford got there first!
"It's (a game of) life, Jim, but not as we know it."
Star Trek related quotes - just occasionally they come in useful!
Hey, my favorite singing banana is still here. Nice stuff. I just feel like strangling the autofocus. It keeps tempting me with an almost-sharp image of the terminal and then jumps back to a total blur.
The capacity of people to make those dumb mistakes never ceases to amaze me. It is in big budget movies, and other projects where it's really mind blowing.
Did they not bother to ask a mathematician? Are the mathematicians employed by them just don't understand what they're doing? Surely it can't be that difficult to get it right.
I have been, and it's been great 😊 Greetings from Sweden!
I see 2 problems with the concept firstly (as mentioned by others) they've repeated a formula famous for it's randomness and secondly parametric design is a much better way to generate architecture from maths. What that means is that if you use maths in this way it lacks a lot of depth that can be found in contemporary architecture to date. This facade can be compared to someone who puts E=MC² on their facade and saying that the facade was derived from quantum mechanics.
i saw this on a video about animal shells and made a program to use any wolfram rule.
waw. i missed this channel
Woah, it's been a while!
Oxford now has 2 stations. Take that Cambridge
Technically Oxford Parkway is not in Oxford. It's in the hamlet of Water Eaton.
I got a shell with this pattern on yesterday ...as I knew it was this kind of pattern interaction....
If they had chosen rule 110 (or any other Turing complete rule) then they could at least *try* to save face by claiming that it was actually simulating Conway's Game of Life...
And such a simulation is likely large enough that it either could be true or would at least be tricky to disprove.
I admit it's not much of a dodge, but they could try...
RIP John Conway
AAAAA when were you in Cambridge??? I could have arrived at the station too!! if it was open?
Same guy created wolfram alpha?
Yes.
In fact, the loading animation on Wolfram Alpha is also a cellular automaton (though more similar to Conway's Game of Life than to Rule 30):
stackoverflow.com/questions/27332460/what-is-the-cellular-automaton-shown-as-loading-screen-on-wolfram-alpha
I am having problems around the edges.
If I asume that we have an infinite array of 0 and then somewhere our starting sequence, rule 135 (and any rule with 0 0 0 -> 1) turns the whole infinite region into 1. So my questionwould be: what to do at the edge? loop around and take the last element?
Wow this channel still exists...
Cool video, thanks!
Hope there will be more videos of you again soon :D
I knew immediately that this was Wolfram, not Conway. That makes me a geek! However, I didn't know which pattern number it was, so I just missed qualifying as a nerd :(
Imagine a mathematical paradise where all 256 stations existed and mathematicians of a higher calibre lived in the more posh rule's suburbs and would sneer at those less capable who had to live in the more boring districts. Imagine rolling into Rachel Riley's "district"?
OMG YOU UPLOADED!!!!!!!
That inserted sequence from the actual Game of Life, is that the Gosper Glider Gun?
yaaay finally a new video! :D
Conway's Game can produce many different patterns depending on the initial configuration; is it inconceivable that it could produce Wolframs rule 135 pattern?
Couldn't they had use Rule 255 or 0 because I like Black and White. 127 works too if we want grey. Although it's technically alternating black line white line black line white line...
on 1:22 there is the explanation of the rule, but one part I dont get is the cells at the begin and end of the line: They lack a neighbour, and I cant seem to be able to figure out the logic used there to produce the next line, since if you take the left most cell of the first line, its black, with a black cell to the right, but below its black as well. That means that according to the rules there must be a black cell to left, so it doesnt "wrap around" since the right most cell if the first line is white.
So do we just assume black at the edges?
depends on what you want really. you can assume black, or white, or wraparound.
makes sense I guess :D
Sounds just like the cellular automaton I programmed my C64 for in about 1984 after reading about it in Scientific American. It ran by directly manipulating the screen memory but Peeks & Pokes were too slow & I had to learn opcodes to make it go faster. It was fun tweaking the rules to find a sweet spot between totally random & boring repetition,
That's really cool
I hit like only when you say "if you have been....."
mate... Oxford has 2 train stations as well
since 2014/2015
Technically Oxford Parkway is not in Oxford. It's in the hamlet of Water Eaton.
But they aren't mathsy. So, *take that, Oxford!*
Nice catch!
Oxford has got two railway stations too, Oxford and Oxford Parkway, so there. :P
+RandomNameHere We're catching up
Technically Oxford Parkway is not in Oxford. It's in the hamlet of Water Eaton.
Basically it's random but it's not really random, but in a way it's still random.
pseudorandom :)
Informative as always. Thanks for the video. It's been a while. Let your inner banana sing more often. :P
Coincidently, I am programing Conway's Game of Life in C++. It's a lot of loops, like two arrays (but I think it's possible to do one only) and scanning user made functions. Pattern is a bit random looking and I don't know if it would translate well as a design. That wasn't the point though. The station was suppose to honor the work of scholars in the area but it didn't.
Rule 135 or 30 done in Princeton, New Jersey. *Ouch.* John Horton Conway is still alive. I wonder if he will comment.
The camera can not decide whether to focus on James or the subject of the video!
? Train station?
I only entered and left Oxford in my classic Maserati when I was a student there.
you are very charismatic person.
I haven't seen a banana sing but I enjoy this channel nonetheless
Conways game of life being turning-complete means you can simulate conways game of life inside conways game of life. It has been done, i have a copy of it, it works.
If the architects admit that it is based on Wolfram, not Conway, then why not change their website to reflect that? Or will Cambridge cancel future contracts with them for failing to keep a Cambridge-centric theme? Regardless, it's a really lovely bit of public maths-based art.
This is really cool!
0:20 "John Conway was a British mathematician". He's not dead yet!
Geoff from All The Station project and Londonist send his regards on his channel
Oh, that's great! Thanks for telling me.
"Take that Oxford" haha, we already have two train stations! Oxford, and Oxford Parkway! Good effort though James 😉
Technically Oxford Parkway is not in Oxford. It's in the hamlet of Water Eaton.
OK, I'll be that pedant:
Firstly, Oxford and Oxford Parkway.
Also, they're called railway stations.
:)
And to add to your pedantry, at least one of Oxford's stations is vaguely in the city centre itself!
Technically Oxford Parkway is not in Oxford. It's in the hamlet of Water Eaton.
Ha! Great video, thanks for sharing.
ok just tried to code it - what happens on the edges? the ones that only have one neighbour..
edit: it`s just two times the same
why does the government keep investing in inessential facilities for prosperous areas (the inner bouroughs of london e.g hackney, oxford and buckinghamshire) whilst places such as stoke-on-trent are suffering drastic budgeting cuts on childerns services.