Alphamagic vs Letterwise Magic Squares
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- Опубліковано 20 чер 2024
- Behold! Another slightly disappointing magic square.
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Pre-Order the DVD/download:
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Or come see the live recording:
festivalofthespokennerd.com/bu...
Futility Closet: “Words and Numbers”
www.futilitycloset.com/2013/0...
Martin’s tweet.
/ 827810392185372672
Alphameric squares on mathworld.
mathworld.wolfram.com/Alphamag...
Alphameric squares on wikipedia (how did I miss this‽)
en.wikipedia.org/wiki/Alphama...
"the most fantastic magic square ever discovered"
A Gardner's Workout, 2001
books.google.co.uk/books?id=z...
Read Lee Sallow talk about his work in 1986.
www.leesallows.com/files/AMS%2...
His up-to-date website.
www.geomagicsquares.com/
The search continues!
github.com/tuzz/letterwise_ma...
My video from MathsJam.
• MathsJam 2016: Letterw...
The Numberphile video about the Parker Square.
• The Parker Square - Nu...
CORRECTIONS:
- I say “the authors” by accident when talking about A Gardner’s Workout when I meant “the author”. Specifically: the Martin Gardner.
- Let me know if you spot anything else!
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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/ - Розваги
"the most fantastic magic square ever discovered" - Martin Gardner, regarding the Parker Square
The Parker Square is not technically a magic square.
But that doesn't make it any less magical.
+martinshoosterman Blasphemy!
I'm honestly shocked that, with as many subscribers as you have, you still take the time to reply when people send you their theories. That's really cool! I may have to send you something I've been working on...
+12tone I try to at least! I get sent a lot of emails.
This is a neat run-in!
Small World, huh.
If you discover something that has already been discovered, is it a Parker discovery?
carn109 no, as you still succeeded.
RasRas342 does that make the term "Parker discovery" a Parker term?
Yes, yes it is.
it's a Colombus Parker Discovery
inscribed Well, they took a shot at naming it correctly, but didn't really succeed. So, yes.
What's a magic square? Is that like a more impressive version of a Parker Square?
Was about to comment on the Parker square as well. These magic squares just sound like better versions indeed.
It takes a lot of confidence to laugh at oneself. Kudos to Matt every time he mentions a Parker Square!
Lol
HangLooseMongoose lol
less. less impressive.
Reminds me of Andre Geim, the only individual to win both a Nobel and an Ignobel prize. The Ignobel prize was for magnetically levitating a frog. You see, he and his research group had discovered the secret of diamagnetic levitation, only to find out that two other groups had discovered it earlier, one group more than 50 years previously - it's something that kept being discovered and forgotten. This wouldn't do, so he decided he needed to do was to levitate something memorable enough to avoid being forgotten. It turned out he had a colleague in the biology department who had some frogs handy - perfect! So the lesson is - even if you're not the first to discover something, maybe you can be the first to make it truly memorable.
Without communicating Maths to the next generation we are better off dead and forgotten.
I work with students at a school in America who are failing in Maths.
I had looked for a way to get them to experience Maths as I do: Sheer joy.
About 3 years ago, I discovered your videos and began showing them to my students.
I'm now getting highest marks in their scores where I used to get lowest.
You are a Math Communicator par excellence!
Thank you.
The slightly awkward 5 seconds of silence at the end of each video, *THAT'S* what I'm here for :D
"Do mathematics, even if you just end up with another Parker square." -Matt Parker 2017
I was quite a good math student in school and I remember there were multiple times when I would be doing homework or working on an assignment and I'd "discover" or "invent" a new piece of math. I would then bring that up to my teacher the next day at school and they would tell me it was something that already existed and we just hadn't covered it yet or will not be covering at all. So it's good to know even mathematicians do that too.
But you're first to discover the most fantastic Parker Square ever discovered. That's a real feat!
Matt, There was no Python 30 years ago, you wouldn't have found it
Juan T
rekt
Juan T There were computers and BASIC, though.
+ZipplyZane a parker square of a Python
rude... but true
*ZipplyZane* Sounds like it would be pretty BASIC though. Is there such a thing as a Parker Pun?
The video has a length of 10:24. 1024 is a perfect square. Hmmmmmm..........
10:23 for me...
*_Parker square_*
You're not accounting for leap-seconds.
Nick Dean my time line says 10:24
Caged Egg 1023 is Mersenne Prime... Illuminati confirmed.
Robi_CK It may be Mersenne, but it can't be prime. 1023 is divisible by 3. :)
my friend and I ran into the same thing with the Collatz Conjecture in High School. We decided to not look anything up until we felt like we had exhausted our ability and to our surprise, the Wikipedia page had every single thing we found including the pattern when the numbers are written in binary. We were pretty excited to see that just a week in high school we were able to come up with the same ideas others had
I've done the same kind of "discovery" with a msc thesis. Who could've guessed that it went by the name of "Poynting-Robertson effect" and was discovered a century ago?
Tobbzn vyyyyyyyyhhh is a great man and he is the r
Tobbzn
I heard about that effect! some kind of sciency video on youtube, but still.
edit: it's the effect that small particles that rotate around the sun are more likely to be hit by a photon in the front, slowing them down over time and causing them to fall in the sun.
One of my favorite memories from high school is still when I “discovered” the binomial theorem. Even though a quick Google search showed me I wasn’t the first to discover it, I was still really proud that I had done it on my own.
There's a Dutch television series called "Wie is de Mol?" (English: "Who is the Mole?") where ten Dutch celebrities set out on a two-week-ish trip to some country in the world. They have to earn money through completing various tasks. The thing is, there is one person in the group who is the Mole, and it's their task to sabotage the group, so they don't make as much (or lose) money. The other nine people don't know who the Mole is, and it's their task throughout the series (there's a new group of people each season) to find out who exactly the Mole is.
Last season, a famous Dutch science journalist and allround nerd called Diederik Jekel took part. Every episode, he would be wearing a different shirt with some sort of reference to nerdy science popculture. And, of course, in one of the early episodes of the season, he was wearing a Parker Square shirt!
Suffice to say, I was the only one of my friends to burst out laughing when I finally spotted it. No one else got that reference, and now they all think I'm crazy...
*insert really original Parker Square joke*
Could you do a parker square with parker square jokes?
how would that look?
Daddy NoName you can, but no one has found a solution for a Parker square of (Parker square)^2 jokes.
J Bottero a Parker Parker joke squared square?
Daddy NoName we all know what Parker squared is, but what is Parker^ie?
J Bottero I think it's negative zero
@standupmaths Unironically, you're Park Square attitude of "just having a go at it" was one of the main reasons why I finally decided to do a major in mathematics.
I'll take Matt's advice and be happy as well as sad for my own "discovery". I've been playing around with a zeta function in the complex numbers, and I found *and proved* that all the zeroes of the function occur with real part = 1/2. But some guy called Riemann apparently got there first.
Lol
This is only kinda related, but I found a 3x3 semi-magic square of letters in English:
S U M
P R O
A N D
Across and down, they spell SUM, PRO, AND, and SPA, URN, MOD. One diagonal spells "arm" but the other doesn't spell anything. Also, there are no repeated letters!
forgingiron123 So it's kinda like a Parker Square with letters
Don't be disappointed about the other diagonal. There are plenty of common acronyms which *SRD* stands for. The most notorious are:
- Suriname Dollar (ISO currency code)
- System Reference Document (Information Technology)
- Swine Respiratory Disease (Science & Medicine)
acronymfinder.com lists 72 occurrences
Thanks for your contribution
DRS - drag reduction system
Or an abbreviation of "doctors".
These are word squares, or specifically, double word squares and/or diagonal word squares.
Would you look at that, I just happen to be wearing my Parker Square shirt :D
I remember when I came across a cool integer sequence (this was before I knew about the OEIS) while trying to work out some probabilities involved in genetics. I sent e-mails to several mathematicians before I found the OEIS and that I had derived the Stirling numbers of the second type. I'm still really pleased about that.
I'm spellbound by your *Parkermagic*, Matt.
PlayTheMind Hey! You're that awesome music guy!
"in base 10 AND English"
Someone add binary
@caged egg: No Problem:
10 binary is 2 in decimal => Base 2 is binary
base 10 base 2 q.e.d. ;-)
Totally arbitrary rules. Like arbitrary squared.
Wihch sux
A Parker Discovery!
Letterwise? Oh, you mean Alphamagic Parker squares!
Came here looking for Parker Square references.
Was not disappointed :)
I had a very similar experience when I learned about strobogrammatic numbers. A tiny little heartbreak when you weren't first, but the fact that you came to it by yourself is in and of itself immensely satisfying.
inspiratinal, matt. i love thinking about numbers, putting them into new perspectives
Wholeheartedly endorse getting to see Festival of the Spoken Nerd - best live show *ever*, it was such good fun!
Gahh i love your videos, every single time you post it's always a knowledge bank.
Great video Matt. It's fun to discover new things even if it is just for yourself.
This video caught my eye and I had no idea what it was about, but this really has fascinated me. Keep up the good work as I really enjoyed this video XD
A very encouraging video, Matt. Thank you.
Lee Sallows's alphamagic square was even featured in "50 Mathematical Ideas You Really Need to Know" by Tony Crilly.
I love that you made this video! I myself love the beauty of math problems although I am not a mathematician at all. I simply apreciate the simplicity of a problem and the complexity (or simplicity) a solution requires. My first aproach is always to figure it out myself, then I fail horribly and I look up the solution, just to find out that this problem has proven to be insolvable. Lately I found myself a little bit discouraged to try and find a solution myself prior to watching the solution video and whilst my mathematical expertise is often not sufficent to solve a specific problem, I think that often the spirit of trying to solve a problem by yourself is worth more than just looking up a solution, you just learn sooo much more that way!
I've been expecting this new show for quite some time now! Sadly I don't live in London so I'll have to wait for it to release on the website. Looking forward to it!
Love the videos!! Keep up the great maths!!
I heard you on the little inbetween bits on BBC 1! I am so happy for you, and want to be you when I can!
Can I ask you what comments you where expecting when you were uploading this video?
If you don't know of the existing discovery, discovering it for yourself is still a bloody good achievement that you should be proud of
Wonderful motivational video! Thanks!!
First! Aw man, turns out I'm not first. Oh well, still cool to discover this video.
I'd call that a *Parker Attempt*!
It's a Parker View.
Parker First.
Haven't even seen the video yet, but I look forward to your updates about the Parker Square! :)
Sorry about that, good message :)
So, I was watching an apple fall from a tree and suddenly, I had an epiphany!
There must be some kind of Force attracting Masses!
I agree with what you said about not looking up things you try to find more about, this week I've been trying to solve a problem which someone probably already has and tonight while waiting for the bus I realized I had the solution :)
When I was a kid I noticed that the external angles of a triangle added up to the total angles in a square.
This pattern continues to hexagons and then to 10-sided polygons and so on for shapes that have 2^k + 2 sides.
I thought this was amazing until I did the maths.
size of external angle = 2pi/(2^k + 2) + pi
size of total angle = 2pi
let external angle be evaluated at k+1 for the next shape up and divide out pi
ext = [2^(k+1) + 4] / [2^(k+1) + 2]
tot = 2
but there are 2^(k+1) + 2 external angles and there are 2^k + 2 totals which makes their sums
ext = 2^(k+1) + 4
tot = 2^(k+1) + 4
I was disappointed that I hadn't found anything new; I had just found some nice algebra.
Last year I invented a really great board game.
Turns out it's called The Resistance and it's a well known game that's been around for about 10 years.
I also created the concept for the video game Factorio, about 6 months after the beta version was released.
i got your book, and i have not been disappointed!
Just learned about Monte Carlo integrals today.... pretty interesting and powerful stuff.
That's awesome!
Thanks for sharing!
This video is actually *very* important. The act of discovering a mathematical principle by yourself grants the highest possible understanding of that idea.
imagine first seeing this being the first type of person, then finding something and emailing him about it then he responds with the link to this and you click it and recognize the intro.
I neither subscribe nor got a mail from you, still I am watching this.
#ClassicParkerSquare...
I'm impressed that you dared to do a magic square video ever again.
This kind of thing happened to me a lot in grade school. I often deduced things a few chapters ahead. I'm glad to hear I'm not the only one.
I recall that I once rediscovered Pascal's triangle. True, it had ben discovered ~400 years ago, but it was fun doing it anyway! I guess it qualifies as Yet Another Parker Discovery :D
I feel the disappointment sometimes when I though i found something new but i did not. I really like how the way you word it, it definitely feel better, after watching this video.
I've found two different things happen occasionally with me:
I come up with an idea that I think is neat, then I get busy with other things and don't have a chance to make it happen... then someone else comes along, figures it out on their own, and realizes it. I used to be annoyed that they stole my idea (which they don't even know who I am so that's not really possible) but now I just chalk it up to "well, one less thing I have to do! Yay!"
The other thing is that I'll sometimes work on pretty esoteric projects, and I get stuck on one portion of it. So I do web searches to see if someone else has encountered this problem before... and what I find is a forum post or blog post with the exact conversation I'm looking for! ... although, what I find is a post by ME asking 5-10 years ago about the exact same problem with no useful responses. hehe.
Great video, thank you!
Excellent encouragement!
Love how many times he allows the words "Parker Square" to hang thick in the air -- but never says them.
Congrats Matt :D I would usually mention the Parker square but this is really cool so I won't
What a lovely Parker square of discovery. :0)
I watch the video because of *Parker Squares*!
i almost found conways constant by myself a few months back. It was a cool feeling
I do this a lot when programming, doing things before looking them up. People sometimes complain that I spend unnecessary time "reinventing the wheel". But I just find it enjoyable to try out and test different approaches myself. Takes more time but as good thing, I usually end up understanding the problem and solution much better then if just copying ready made code snippet or algorithm from somewhere.
You should come do your comedy show in Finland sometime. I'm not sure how many people would come to see it, but in the unlikely case I was the only one, I promise to applaud extra hard
I'm watching this in the present!!! I wish I could be in London for this.
When I find something (which isn't often) and later I discover that somebody else has already discovered it, it makes me feel validated. It means that somebody else has also thought that the same thing was cool, so there's some essence to my thoughts.
Are Magic Cubes a thing ? That would be another entire dimension to explore ^^
my magic square top should be arriving today :D
Looking at the next video in my recommended list,
I really want a Rubik's cube with numbers on it instead of colours, and rather than trying to make each side a single colour, you're trying to make magic squares.
I have found n-gon(like pentagon and hexagon..) of numbers but it was already mentioned on your maths in 4d book but I had fun deriving equation for that from reccurence I found.
"Everything new that you learn is something long forgotten or something differently shown."
- That Guy
One time I derived Lagrange interpolation all by myself!
When I was in 3rd or 4th grade, I was super excited because I had "discovered" that (n+1)(n-1)=n^2-1 all on my own.
I did watch your original video back then and you seemed so excited about it. That's too bad.
i remember when i was about 10 discovering a way to generate all interger squares
a few years after i found out this was essentially equivalent to expanding (x+1)^2
it was still fun to explore what happened if you messed around with it
If he looks at you for too long, it's a Parker stare. If he is frightened, it's a Parker scare. If you run out, don't worry... he has a Parker spare. I tried not to write these, but I was caught in the Parker snare.
Watching this while wearing my Parker Square shirt :D
What a nice parker discovery !
Once I saw "Magic Square" in the title, I clicked on the video and immediately went down to the comment section. I wasn't disappointed.
I invented an exercise system and then found that someone else had invented qigong a few thousand years before me, so 30 years is almost a tie compared with 3000 years. I hear that some people have already solved the Rubik's cube but its still an amazing feeling when you first work it out yourself.
Thank you Matt for the video! I'm happy you talked about how you felt when you discovered something interesting in math, and go to google it and find out someone has done the a similar method to discover it. I do some recreational math (not sure to say maths because american dumbo..) myself and love to just look at numbers and find patterns. I might just send you an email explaining what ive done in more detail but... Basically I was really interested in how decimals are created. Why are these long numbers created when you divide intergers? We'll I knew of a well known decimal that is created by dividing 1 by 9, and you get this nice repeating 1 decimal. I think that's simply enough to find a pattern in right? And I did! It's simply 1 to the power of it's position from the decimal point! We'll to make a long story short, I played with the discovery enough to a sumation formula! I was so proud and happy that I was using a thing I never used before! A sumation... Look at that! I'm so smart... We'll after three years I decided to just google the formula and what do you know. It's already been found... But I was slightly happy as well that I. Myself through a few days playing with this thing I found out and got the same formula or results as someone else YEARS AGO... Umm so I dont know how to end this... I was hoping this would be shorter but you get the message, you and your video made me feel a little better that maybe its not that bad that someone else found the same thing you've already done. Anyway thanks!
My MO is to tackle unsolved problems, not because I want to be the first to solve them, but because I like being able to see how far I can challenge myself with what current knowledge I have of the topic. I don't try to make light of the research that is already done into these problems; more often than not I can't even understand them. And I don't intend to ever solve an unsolved problem, but again the reason I do it is not because I want to be the first to solve it, but of course that would be awesome if that ever did happen.
Probably most of you are familiar with Matt Parker, the Standup Mathematician. Whether you are or not, this is an especially good effort on his part, combining all the nerdy joy of discovery with a lovely plot, complete with climax and denouement. Enjoy!
are there any magic squares that work with multiple different powers? something I was trying to figure out but couldn't get anywhere with.
recording? shut up and take my money!!! 💰😁
(aaaaand, preordered)
Just began the video, but my mind is shouting "PARKER SQUARE!!!"
When I was very young, I thought I had found a new constellation. I got a book out of the library about constellations as a result (the internet was still in its early days), and found that my great discovery was Orion's Belt. My Parker Discovery was only out by a few thousand years.
At least if we don't discover maths, we can found Matt, which is kinda cool too.
Hey there Matt! I'm also a fan of recreational maths, and what I have done for a while is try to write all the natural numbers with exactly four 9's, just like the video about the 4's in Numberphile... Even wrote a code (C++) to check the combinations, and gone all the way up to 145 (and climbing haha). I'd love if you tried as well. Thanks
Matt releases a video with Square in the title. Straight to the comment section!
great message thumbs up & subscribed
Matt Parker finding enjoyment in discovering something someone had already discovered in the past shows that he does math to enjoy math - not for fame.
1:15 Thought my new headphone were dying, lol
the Parker square saga continues
Just imagine emailing Matt Parker and receiving his reply with a video's url where he says to have emailed it to you.
thats a very mature approach to mathematics