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Cambridge has a new mathsy train station 

singingbanana
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29 окт 2024

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Комментарии : 444   
@JaccovanSchaik
@JaccovanSchaik 7 лет назад
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.
@MrCheeze
@MrCheeze 7 лет назад
These 1-dimensional games of life were directly inspired by Conway's game, so it's​ really not very far off.
@user93237
@user93237 7 лет назад
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.
@TheGrooseIsLoose
@TheGrooseIsLoose 7 лет назад
okorok Even better: it's rule 135 run in Conway's Game of Life. This is the initial state.
@lizardbaron3727
@lizardbaron3727 7 лет назад
"Take that Oxford"
@gazman237
@gazman237 7 лет назад
Lizard Baron Oxford parkway :P
@jacksainthill8974
@jacksainthill8974 7 лет назад
Penrose tiling, take that Cambridge.
@thesonofasniper
@thesonofasniper 7 лет назад
Bicester has three now
@DeGuerre
@DeGuerre 7 лет назад
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.
@pierreabbat6157
@pierreabbat6157 7 лет назад
Doesn't that make it Tricester?
@seanm7445
@seanm7445 7 лет назад
Seems like a Parker Square of an architecture project.
@danielleahearn8714
@danielleahearn8714 7 лет назад
Sean M critiquing some abstract art are you?😋
@seanm7445
@seanm7445 7 лет назад
Oh hai there. Always nice to meet people outside of Facts. channel :D
@ceafdc
@ceafdc 7 лет назад
0:20 "John Conway `is` a british mathematician" John Conway is still alive
@pegy6384
@pegy6384 7 лет назад
Is he still an active mathematician? If he's retired, that would explain that he 'was' a mathematician.
@KiloOscarZulu
@KiloOscarZulu 7 лет назад
Yes, I also noticed that and I had to check to make sure that he is still alive.
@eduardomezencio4057
@eduardomezencio4057 7 лет назад
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
@pegy6384
@pegy6384 7 лет назад
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.
@patricksheldon5859
@patricksheldon5859 7 лет назад
Is he still British?
@Lightn0x
@Lightn0x 7 лет назад
"John Conway was a British mathematician". That "was" made me google if the poor fella died.
@UnderscoreZeroLP
@UnderscoreZeroLP 6 лет назад
woo, semantic ambiguity
@benwilcox1192
@benwilcox1192 4 года назад
:(
@PeterAuto1
@PeterAuto1 4 года назад
Sadly he died because of corona
@cherrytaly9765
@cherrytaly9765 7 лет назад
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!!😍
@sebastianespejoloyaga7603
@sebastianespejoloyaga7603 7 лет назад
cherry taly *for months
@cherrytaly9765
@cherrytaly9765 7 лет назад
Sebastián Espejo Loyaga ...okay bro?
@uofmrob
@uofmrob 7 лет назад
Agreed!!!
@mikekuppen6256
@mikekuppen6256 7 лет назад
+
@VincentZalzal
@VincentZalzal 7 лет назад
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.
@jonlottgaming
@jonlottgaming 7 лет назад
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
@kaychimav
@kaychimav 7 лет назад
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.
@VincentZalzal
@VincentZalzal 7 лет назад
@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.
@jonlottgaming
@jonlottgaming 7 лет назад
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.
@VincentZalzal
@VincentZalzal 7 лет назад
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.
@domramsey
@domramsey 7 лет назад
The difference between Cambridge and Oxford is that Oxford mathematicians can count to two. Oxford, Oxford Parkway. :p
@uh6679
@uh6679 7 лет назад
Jake Staines It is a London airport; it's just not an airport in London
@uh6679
@uh6679 7 лет назад
*****​ Shit, i am unbelievably stupid
@error.418
@error.418 7 лет назад
Technically Oxford Parkway is not in Oxford. It's in the hamlet of Water Eaton.
@pierreabbat6157
@pierreabbat6157 7 лет назад
Oxford, Oxford Parkway, Oxford Oxford, Oxford Parkway Parkway, Oxford Parkway Oxford, ...
@DuncanBooth
@DuncanBooth 7 лет назад
+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?)
@connorp3030
@connorp3030 7 лет назад
Can you explain how rule 110 can be used to simulate computer programs or do calculations?
@tjejojyj
@tjejojyj 7 лет назад
connorp3030 yes. My question as well. I presume it's because the rules effectively reflect logic operators - AND, OR, NAND etc.
@Puj0
@Puj0 7 лет назад
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).
@ThatGuy-nv2wo
@ThatGuy-nv2wo 7 лет назад
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).
@dixie_rekd9601
@dixie_rekd9601 7 лет назад
That Guy nice profile pic 😀
@columbus8myhw
@columbus8myhw 7 лет назад
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)
@Innovativemagi
@Innovativemagi 7 лет назад
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.
@dhmdm3106
@dhmdm3106 7 лет назад
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 :-)
@ivanvojvodic8350
@ivanvojvodic8350 7 лет назад
Yay!!!!! James is not dead!!!!!! I look forward to more videos
@Hauketal
@Hauketal 7 лет назад
Great to see you again. And in the same RU-vid proposals list a video by Geoff&Vicky aka All The Stations.
@Nanaki404
@Nanaki404 7 лет назад
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.
@Liliou
@Liliou 7 лет назад
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!
@elliottmcollins
@elliottmcollins 7 лет назад
I am always excited to see you've posted. Off to make a bunch of rule-based graphs!
@MartiniComedian
@MartiniComedian 7 лет назад
I'm just happy to see that you're alive! ;) Please post more videos!!!
@miroslavkollar9577
@miroslavkollar9577 7 лет назад
nice to see this channel still lives :)
@TheDeetster
@TheDeetster 7 лет назад
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
@XMegaJuni
@XMegaJuni 7 лет назад
Your videos are fantastic. Please continue to share your awesomeness.
@TimMeep
@TimMeep 7 лет назад
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."
@Dayumhesgood
@Dayumhesgood 5 лет назад
Sorry James, Oxford also has 2 train stations now: Oxford and Oxford parkway...and its second station opened before Cambridge north.
@johnmasters504
@johnmasters504 4 года назад
Cambridge North is actually in Chesterton not Cambridge
@JudgeHill
@JudgeHill 7 лет назад
Of course, Oxford also has a second train station. As with many efforts, Oxford got there first!
@Dylan-ii1ds
@Dylan-ii1ds 4 года назад
And now it is 3 years and 2 weeks old for those of you viewing this in June 2020
@tonyjones9442
@tonyjones9442 6 лет назад
This video came up in my feed. I saw a RU-vid 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!!
@IcyDiamondDust
@IcyDiamondDust 7 лет назад
I lived in Cambridge, I yelled at you while running past the (old) station a few months ago! Good video :)
@BhupinderSingh-xv6dk
@BhupinderSingh-xv6dk 7 лет назад
My man James you are a true soldier and true citizen . your service to community is priceless.
@leow_se
@leow_se 7 лет назад
Oxford has TWO railway stations. The new one opened in last 2015
@gabest4
@gabest4 7 лет назад
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.
@error.418
@error.418 7 лет назад
awesome! I would love to try this.
@tedspeak
@tedspeak 7 лет назад
Such an affable person and a pleasure to listen to! I was never good at maths but no matter! Thank you
@gustavagerbo3236
@gustavagerbo3236 7 лет назад
Great to see you are uploading videos again!
@davidescobar6300
@davidescobar6300 7 лет назад
you are here, oh my god. Thank you forma coming
@sardonicnerd
@sardonicnerd 7 лет назад
Please. Oxford has had a second train station (Oxford Parkway) for quite some time.
@error.418
@error.418 7 лет назад
Technically Oxford Parkway is not in Oxford. It's in the hamlet of Water Eaton.
@danielthebingham
@danielthebingham 7 лет назад
I'd like to point out we have Oxford and Oxford Parkway as stations, so as usual Cambridge are playing catch up.
@singingbanana
@singingbanana 7 лет назад
+danielthebingham Are they mathsy train stations?
@danielthebingham
@danielthebingham 7 лет назад
singingbanana sadly not
@error.418
@error.418 7 лет назад
Technically Oxford Parkway is not in Oxford. It's in the hamlet of Water Eaton.
@UMosNyu
@UMosNyu 7 лет назад
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?
@DISammi
@DISammi 7 лет назад
Waiting for a singingbanana video is the most exciting maths adventure on the internet. Do more puzzles they are fun!
@romanski5811
@romanski5811 7 лет назад
Endlich gibt es wieder Video von dir! Bitte mehr davon.
@EllipticGeometry
@EllipticGeometry 7 лет назад
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.
@ferncat1397
@ferncat1397 7 лет назад
That suspense before the 'thanks for watching' had me worried :P
@senc1971
@senc1971 7 лет назад
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....
@singingbanana
@singingbanana 7 лет назад
Your sarcastic comment won't help.
@senc1971
@senc1971 7 лет назад
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).
@singingbanana
@singingbanana 7 лет назад
+senc1971 Then I am sorry!
@noterictalbott6102
@noterictalbott6102 7 лет назад
Great to see a new video!
@Jean-Berry
@Jean-Berry 4 года назад
RIP John Conway
@Kiwiscore
@Kiwiscore 7 лет назад
he's back!
@DesmondAltairEzio
@DesmondAltairEzio 7 лет назад
Messing around with this, rule 154 produces Sierpinski's Triangle if you input only one cell filled in! Neat.
@error.418
@error.418 7 лет назад
very neat!
@stumbling
@stumbling 7 лет назад
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.
@withedoter6277
@withedoter6277 7 лет назад
Welcome back Master!!!
@coryman125
@coryman125 7 лет назад
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...
@Nai61a
@Nai61a 7 лет назад
"It's (a game of) life, Jim, but not as we know it." Star Trek related quotes - just occasionally they come in useful!
@wyattstevens8574
@wyattstevens8574 5 месяцев назад
W30 is the B/W reversal of W135 shown here, so that could be an "almost valid" description!
@ChilledfishStick
@ChilledfishStick 7 лет назад
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.
@kaleyschuster1951
@kaleyschuster1951 7 лет назад
Ahh I was just in Cambridge! I didn't know about this! Dammit
@TheNgandrew
@TheNgandrew 7 лет назад
Fascinating subject, and a fascinating video. Thank you.
@iDEaXANA
@iDEaXANA 7 лет назад
8 month upload schedule. noiiice!
@estebanzd9434
@estebanzd9434 4 года назад
Rest in Peace, our John Conway.
@anon6514
@anon6514 7 лет назад
Welcome back!
@jakeroosenbloom
@jakeroosenbloom 7 лет назад
Wow this channel still exists...
@TheSingingNerd
@TheSingingNerd 7 лет назад
Fascinating as always!
@shamrockfrost1856
@shamrockfrost1856 7 лет назад
I'll definitely get around to implementing game of life... Tomorrow....
@bittertea
@bittertea 7 лет назад
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.
@lsbrother
@lsbrother 7 лет назад
Conway's Game can produce many different patterns depending on the initial configuration; is it inconceivable that it could produce Wolframs rule 135 pattern?
@omkelderman
@omkelderman 7 лет назад
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?
@jetison333
@jetison333 7 лет назад
depends on what you want really. you can assume black, or white, or wraparound.
@omkelderman
@omkelderman 7 лет назад
makes sense I guess :D
@Dev1nci
@Dev1nci 7 лет назад
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.
@Piineapple.
@Piineapple. 7 лет назад
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
@doctorbobstone
@doctorbobstone 4 года назад
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...
@flamencoprof
@flamencoprof 7 лет назад
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,
@johnvonhorn2942
@johnvonhorn2942 7 лет назад
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"?
@DesmondAltairEzio
@DesmondAltairEzio 7 лет назад
what about the squares on the edges? how is that determined?
@jalexander9520
@jalexander9520 7 лет назад
How is the next row decided for the squares with one neighbor?
@Turcian
@Turcian 7 лет назад
Woah, it's been a while!
@jamessmart516
@jamessmart516 7 лет назад
Oxford now has 2 stations. Take that Cambridge
@error.418
@error.418 7 лет назад
Technically Oxford Parkway is not in Oxford. It's in the hamlet of Water Eaton.
@pyrex516
@pyrex516 7 лет назад
Basically it's random but it's not really random, but in a way it's still random.
@error.418
@error.418 7 лет назад
pseudorandom :)
@mathmusicminecraft
@mathmusicminecraft 7 лет назад
AAAAA when were you in Cambridge??? I could have arrived at the station too!! if it was open?
@BertGrink
@BertGrink 7 лет назад
That inserted sequence from the actual Game of Life, is that the Gosper Glider Gun?
@hoagy_ytfc
@hoagy_ytfc 7 лет назад
OK, I'll be that pedant: Firstly, Oxford and Oxford Parkway. Also, they're called railway stations. :)
@PaulCampy
@PaulCampy 7 лет назад
And to add to your pedantry, at least one of Oxford's stations is vaguely in the city centre itself!
@error.418
@error.418 7 лет назад
Technically Oxford Parkway is not in Oxford. It's in the hamlet of Water Eaton.
@Ztingjammer
@Ztingjammer 7 лет назад
I have been, and it's been great 😊 Greetings from Sweden!
@hugoharada5301
@hugoharada5301 7 лет назад
How do I decide the color of the first square of the second line?
@TheFedeLegend
@TheFedeLegend 7 лет назад
Nice catch!
@abdullahalarfaj4930
@abdullahalarfaj4930 7 лет назад
Will periodic behavior be a result of a rule? or the combination of a rule and an initial state? a follow up video on the pattern required :)
@Bouldest1
@Bouldest1 7 лет назад
You scared me with that "John Conway WAS"
@macronencer
@macronencer 7 лет назад
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 :(
@DanDart
@DanDart 7 лет назад
i saw this on a video about animal shells and made a program to use any wolfram rule.
@CBMaster2
@CBMaster2 7 лет назад
How do you apply the rule for the 2 corner pieces?
@livedandletdie
@livedandletdie 7 лет назад
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...
@hanniffydinn6019
@hanniffydinn6019 7 лет назад
I got a shell with this pattern on yesterday ...as I knew it was this kind of pattern interaction....
@kurtilein3
@kurtilein3 7 лет назад
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.
@autodidactusplaysjrpgs7614
@autodidactusplaysjrpgs7614 7 лет назад
I'd know what I was talking about first before I base a building's design on math. Call me crazy.
@the_podu
@the_podu 7 лет назад
waw. i missed this channel
@thomaswarriner2344
@thomaswarriner2344 7 лет назад
For anyone who cares, try rule 22 and one black square on your first row. It gives a familiar shape
@halogenlampert
@halogenlampert 7 лет назад
0:20 "John Conway >>>was
@toastysauze
@toastysauze 7 лет назад
There is a rule 30, 110, 135 I am genuinely curious as to if there is a rule 34, and what it is if so.
@frankharr9466
@frankharr9466 7 лет назад
That's not my Cambridge! Boy, that's cool.
@johnmasters504
@johnmasters504 4 года назад
no, its Chesterton....
@olgagalk3382
@olgagalk3382 6 лет назад
you are very charismatic person.
@mversantvoort
@mversantvoort 7 лет назад
Cool video, thanks! Hope there will be more videos of you again soon :D
@Wiki7202
@Wiki7202 7 лет назад
anyone notice the autofocus in the background? phases in and out of focus frequentlly
@error.418
@error.418 7 лет назад
Eh, some cameras aren't as good at autofocus as others.
@punya1621
@punya1621 7 лет назад
I hit like only when you say "if you have been....."
@Tsanito
@Tsanito 7 лет назад
How does the rule treat the edges? I can't seem to see the pattern.... or your graphic is misleading.
@DitDede
@DitDede 7 лет назад
what do you mean, "John Conway WAS a British mathematician?" he still is, I believe...
@thorp.n8998
@thorp.n8998 7 лет назад
John Conway IS a british mathematician - he is still alive
@Nayson
@Nayson 7 лет назад
Oxford has got two railway stations too, Oxford and Oxford Parkway, so there. :P
@singingbanana
@singingbanana 7 лет назад
+RandomNameHere We're catching up
@error.418
@error.418 7 лет назад
Technically Oxford Parkway is not in Oxford. It's in the hamlet of Water Eaton.
@TimLeach635
@TimLeach635 7 лет назад
"Take that Oxford" haha, we already have two train stations! Oxford, and Oxford Parkway! Good effort though James 😉
@error.418
@error.418 7 лет назад
Technically Oxford Parkway is not in Oxford. It's in the hamlet of Water Eaton.
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