+Lightning Graphics No, it's a reference to The Hitchhiker's Guide to the Galaxy. Being one of the biggest pop culture references, you're part of a tiny minority if you don't get it.
+Numberphile Dear Brady! i have been trying to reach you since the time you posted the video on magic squares in mirrors and upside down video. After watching that vid, i came up with a 5x5 and a 7x7 magic square. I've sent it to the numberphile mail-id but it probably got drowned in all the other mails u get. Please check it out and tell me your thoughts on it! Thank you for reading through my comment. Cheers
If you thought the four oddballs were too big, like, n too big, where n is a multiple of 4, you could just decrease all the oddballs by 3n/4, and increase all the other ones by n/4, right? I feel like that's still possible to do in your head (for example, with 58, you think, the oddballs are gonna be 37-40, and the rest are going to be 1-12. There's a gap of 24. Let's decrease the oddballs by 18 and increase the others by 6.)
I didn’t except you to be here. Also I agree with your comment, but sometimes it could be difficult to do so, but then again, people will notice outliers in the magic square.
+Zain Kapadia As you can see in the animations, you get n for every 2 by 2 square.... probably between 21 and 65, so your statement is kinda unnecessary
+Domen Bremec The square which is 11, 8 5, 10 (which is middle-left) and the square which is n-21, 2 3, n-18 (middle-right) only give you the same result as all others for n = 34
If you want to make the numbers appear less "suspicious", then you can add or subtract multiples of 4 from the number you are given, construct its square, and then add/subtract 1 to each entry for each multiple of 4 you subtracted/added respectively. For example with 58, you could have done the square for 42 again, but with 4 added to each entry, or the square for 34 with a 6 added to each entry.
To make the numbers closer you can actually do the square for n - 4*k and then add k to all entries. So if they give you a big number just choose a k to bring it down to the nice range again. I think that can make the trick look less formulaic. It is harder though :)
If someone pick a very high number, one can always add some to the constant numbers, and subtract what you need from the "n-18"-numbers. For example, for 80: Instead of 60, 1, 12, 7 11, 8, 59, 2 5, 10, 3, 62 4, 61, 6, 9 one can be using 15, 16, 27, 22 26, 23, 14, 17 20, 25, 18, 17 19, 16, 21, 24 Here I added 15 to everything, then subtracted 4*15=60 from the n-numbers. Or added m to the constants and subtracted 3*m from the n-numbers, where m = 15, if you want.
the corner numbers add up to '42' 22+7+9+4= 42 same with the numbers in between the edges, 6+24+12= 42 _ 23+5+11+1+2=42 notice the sequence of 3 row numbers and 4 row numbers..left and right sequence too
the minimum number to say should be 34, because it uses all integer-steps from 1 up to 16 smaller sum-numbers will use numbers doubled, if created with the shown method, because in this case minimum one of the subtractions for the last four positions will result in one of the already placed numbers. and i noticed, there are a bunch more instances of the magic sum in the square. So the four corners together also have this sum and you can move one of the outer rows/columns over to the opposite edge to get 3 more 2x2 squares with the sum. with such moves you can do 16 different magic squares with theese numbers and rules. And you can also mirror and rotate each one of them if you want.
One thing I find interesting is that when he shows the magic square in the graphic, the 4 square that is one row above the center and the one below the center add up to the number (I'll say 42) but the 4 square that is one column left of the center and one right of the center does not. Would be interesting to see if it is possible to make it so that those would add to 42 as well.
Here's a thought: Along with uploading these, you could upload another video of the complete, unedited interview (unlisted of course) for the hardcore numberphile fans like myself
Silly me, I actually thought I was going to be the first one to mention the Parker Square. But wait, it looks like in thinking so, I pulled a Parker Square myself!
So, at 1:10 we have the top centre and bottom centre squares, but we don't have left centre or right centre. It's a magic square, so I guess we can't call it a Parker Square. However, the idea of a Parker Square is that there is some "missing" symmetry, so is this a generalization of the concept of a Parker Square? Also, the 4 corner squares add up to n.
Matt: Tell me your age. Person: 42. Matt: I will make a magic square out of it. Person: Are you a magician? Matt: No, I'm a mathematician. Person: Then what trick will you be doing? Matt: Gimme a piece of paper. Person: Here. Matt: [ *draws a magic square* ] Person: thanks. [ *looks suspiciously* ]
The Lowest magic square is 34 by the standards of 16 different numbers of which all sides equal the same including the 4 corners and diagonals. In fact using the chart you showed we can reuse to figure....example.... 1,2,3,4,5,6,7,8,9,10,11,12 21,22,23,24 Are the numbers to get 42. Now if we want say 34, we can subtract 7 from each of our 2x digit numbers. Making 34 the lowest possible not using integers having numbers 1,2,3,4,5,6,7,8,9,10,11,12 13,14,15,16 Using this chart 34 Is the lowest but there is no limit on how high as long as his presentation graph is used. It is important because all of the numbers we are changing are all in their own row and column. You can't move or rearrange those 21,22,23,24 digit numbers since those are the ones we will be manipulating. But by his chart we have a magic square possible for every single number above 34.
i have question about number 3. if i take number, that can be divided by 3 and sum up its digits, it will give me number that can be divided by 3. why is that?
the 4 center numbers add up to ''42'' first row 2 even numbers front row 2 odd numbers all 4 center squares add up to '42'... even odd =8 10 _21 3 top bottom x diagonal even 8 3 _ 10 21
"You are such a nerd!"
... said the man doing math for a living. :p
+villanelo1987 huh.
+villanelo1987 42. Get the reference? :P
+Lightning Graphics Every person on earth gets that reference.
Linkaru well everyone who watches Numberphile I guess
+Lightning Graphics No, it's a reference to The Hitchhiker's Guide to the Galaxy. Being one of the biggest pop culture references, you're part of a tiny minority if you don't get it.
i cannot express how unreasonably happy i am that "parker square" is now a thing. a numberphile meme of sorts
Same!
You can even look it up on Wikipedia! A section in the article "magic square"
1,000,000 - 21 = 999,999,979?
not quite Brady :P
+smor729 Parker Squared it!
+Numberphile haha I was hoping you would make that joke
+Numberphile
Dear Brady!
i have been trying to reach you since the time you posted the video on magic squares in mirrors and upside down video.
After watching that vid, i came up with a 5x5 and a 7x7 magic square. I've sent it to the numberphile mail-id but it probably got drowned in all the other mails u get.
Please check it out and tell me your thoughts on it!
Thank you for reading through my comment.
Cheers
+Hari Krishnan That would be cool if it works
It does
the 7x7 square is in base 16, hexadecimal
Today I had a Parker square of a morning... at least I haven't died in sleep.
It was almost a parker square at first 0:27 , but it ended up just right.
+The Gambler He Parker Squared trying to Parker Square!
+The Gambler We have to make this a meme, we just have to
It's Parker at being parker
@@trichogaster1183 and here we are
??
If you thought the four oddballs were too big, like, n too big, where n is a multiple of 4, you could just decrease all the oddballs by 3n/4, and increase all the other ones by n/4, right? I feel like that's still possible to do in your head (for example, with 58, you think, the oddballs are gonna be 37-40, and the rest are going to be 1-12. There's a gap of 24. Let's decrease the oddballs by 18 and increase the others by 6.)
+carykh TWOW!!!
A carykh comment with 14 likes and 1 reply? No way I'm liking this
I didn’t except you to be here. Also I agree with your comment, but sometimes it could be difficult to do so, but then again, people will notice outliers in the magic square.
Yes👍
That is definitely not a parker square... ;D
check 3:32 again.
But the trick was Parkerly impressive.
Clever!
It kinda is. The sides don't work
??
Great!
Now I just need to go to a party for once in my life...
+KLM Be there or be a Parker Square!
Make sure that it is not a Parker square of a party
false.
I liked the part where the nerd called the other nerd a "nerd".
But weirdly, not for a maths based bit of nedery but a literature based one.
This coming out so soon after the other feels like a real Parker Square of an effort.
If n=34, you get one of each number from 1 to 16 in your square.
+Kyle Amoroso
For n = 34, you get 34 in every possible 2x2 square, too
+Zain Kapadia Woah thats cool
+Sulthan14
I know right!! Maths really is magic :)
+Zain Kapadia As you can see in the animations, you get n for every 2 by 2 square.... probably between 21 and 65, so your statement is kinda unnecessary
+Domen Bremec
The square which is
11, 8
5, 10
(which is middle-left)
and the square which is
n-21, 2
3, n-18
(middle-right)
only give you the same result as all others for n = 34
3:34 you subtracted from a BILLION not a million
He parker-squared it.
Or a milliard
+The Wobbix you're spelling of "such" is a Parker square
The Wobbix “sutch” lol
It's so wierd hearing "nerd" from a mathematician. 😂
3:11 He Parker-squared it _again_
How?
@@mrs111198 2 1s
One of the best memories in our college days... As math majors we really enjoyed solving magic square.
Those are *not* Parker Squares, I'm dissapointed ! :(
+Christophe Abi Akle Parker Squares for days..
calling someone a nerd on a numberphile video is not an insult, but a compliment
Can he teach us how to make Parker squares?
Just try it anyway, what you made is already a parker square 😂
"I have managed to- you look unimpressed."
Hearing a PhD mathematician call someone a nerd is the one thing i was missing
Octomom tried this with Punnett squares and got arrested.
I love how Parker Square is already a thing... wonder how long it will last.
This video was such a Parker Square.
Classic Parker Square!
If you want to make the numbers appear less "suspicious", then you can add or subtract multiples of 4 from the number you are given, construct its square, and then add/subtract 1 to each entry for each multiple of 4 you subtracted/added respectively. For example with 58, you could have done the square for 42 again, but with 4 added to each entry, or the square for 34 with a 6 added to each entry.
From a Parker Square to a Party Square? Thanks, Matt!
To make the numbers closer you can actually do the square for n - 4*k and then add k to all entries. So if they give you a big number just choose a k to bring it down to the nice range again. I think that can make the trick look less formulaic. It is harder though :)
That was such a Parker Square at the end. You had a million up top but subtracted from a billion
"Wow, I just turned 21! Now I'm finally old enough to.... have a magic square built around my age. Yep."
His reaction to a 42 being a number of choice is priceless :)
You'e trying to make Matt look good now aren't you. A little guilty after the "Parker square affair"?
I have one of these squares that Matt made and signed for the number 32, from his show stand up maths at the Edinburgh fringe last year :-D
If someone pick a very high number, one can always add some to the constant numbers, and subtract what you need from the "n-18"-numbers.
For example, for 80:
Instead of
60, 1, 12, 7
11, 8, 59, 2
5, 10, 3, 62
4, 61, 6, 9
one can be using
15, 16, 27, 22
26, 23, 14, 17
20, 25, 18, 17
19, 16, 21, 24
Here I added 15 to everything, then subtracted 4*15=60 from the n-numbers. Or added m to the constants and subtracted 3*m from the n-numbers, where m = 15, if you want.
This is my favourite membership video. So funny to see Matt dig his own hole
I guess if someone happens to be 20 then you've really gotten yourselves into a parker square
+martinshoosterman HA! GAT EEM!
Haha, that million subtraction was such a Parker Square! :D
I love that every comment is about the Parker Square.
the corner numbers add up to '42' 22+7+9+4= 42 same with the numbers in between the edges, 6+24+12= 42 _ 23+5+11+1+2=42 notice the sequence of 3 row numbers and 4 row numbers..left and right sequence too
I'm going to print off that n Magic square and memorise it, thanks Matt Parker!
Rather than 'n', you could substitute (n-3i), and add 'i' to the other numbers. You can adjust 'i' to bring everything into proportion.
the minimum number to say should be 34, because it uses all integer-steps from 1 up to 16
smaller sum-numbers will use numbers doubled, if created with the shown method, because in this case minimum one of the subtractions for the last four positions will result in one of the already placed numbers.
and i noticed, there are a bunch more instances of the magic sum in the square.
So the four corners together also have this sum and you can move one of the outer rows/columns over to the opposite edge to get 3 more 2x2 squares with the sum.
with such moves you can do 16 different magic squares with theese numbers and rules.
And you can also mirror and rotate each one of them if you want.
Was waiting for this, saw Matt do this at Festival of the Spoken Nerd
Seems a bit of a Parker square sort of trick to be honest, once he explains it. ;-)
One thing I find interesting is that when he shows the magic square in the graphic, the 4 square that is one row above the center and the one below the center add up to the number (I'll say 42) but the 4 square that is one column left of the center and one right of the center does not. Would be interesting to see if it is possible to make it so that those would add to 42 as well.
Old comment, but I don't understand whtat you mean
But if the trick fails, then it will be a Parker Square of a trick.
Here's a thought: Along with uploading these, you could upload another video of the complete, unedited interview (unlisted of course) for the hardcore numberphile fans like myself
Silly me, I actually thought I was going to be the first one to mention the Parker Square. But wait, it looks like in thinking so, I pulled a Parker Square myself!
Quite disappointed not to see Parker squares in this video... definitely want more Parker squares!!
+Filippo Bonaventura 3:11.
:)))
So, at 1:10 we have the top centre and bottom centre squares, but we don't have left centre or right centre.
It's a magic square, so I guess we can't call it a Parker Square. However, the idea of a Parker Square is that there is some "missing" symmetry, so is this a generalization of the concept of a Parker Square?
Also, the 4 corner squares add up to n.
Hey, at least it's not a Parker square.
Great video!
Matt: Tell me your age.
Person: 42.
Matt: I will make a magic square out of it.
Person: Are you a magician?
Matt: No, I'm a mathematician.
Person: Then what trick will you be doing?
Matt: Gimme a piece of paper.
Person: Here.
Matt: [ *draws a magic square* ]
Person: thanks. [ *looks suspiciously* ]
Very cool square thanks
This was my favorite trick when i was younger i was always curious about it seeing as i loved math
I was going to say how disappointed I was that it wasn't a Parker Square... But I see the internet is already all over it.
Ahh, When we used to trust Matt Parker with Magic Squares. What Nostalgia.
"your birthday feels a little impersonal. How bout an arbitrary number?" Yeah that's much more personal lol...
I love Parker Squares
This feels like a cheap Parker square when you know the trick
at 0:09 it sounded like he said "potty tricks" instead of "party tricks" LOL
When i heard 42 i started having faith in humanity
I love this kind of stuff
(Parker Square. PAAAAAARKEEEEERRRRRR SQUAAAAAAAAARRRREEEEE!)
and so the ParkerSquarepocalypse begins...
I saw a magician once combine this trick with another trick to create a magic square of a number that an audience member secretly thought up.
This trick is a sort of Parker Square magic
I tried this and messed up. Result was a parker square.
Happy birthday to myself! This year I finally got present from Numberphile.
Happy birthday!
Happy birthday Harry!!!
+Harry Tsang Hope its not a Parker Square of a birthday!
Joshua Jurgensmeier I typed that comment before I finishing the video, but a Parker square will be fun to say.
This is by no means a Parker Square of a party trick
I was stuck on some homework and this helped alot
At 2:10, wouldn't it be even better to say that those are multiples of 18? That way they would be consecutive multiples (18*1, 18*2, 18*3, 18*4).
Could you do a video about algebra (zheng/fu/wu and fang cheng) and magic squares in china? its very interesting
I really wanted to write a comment including a funny Parker Square joke, but I haven't found a good one.
This comment is really Parker Square
+Habertown34 commenting on your own comment, you really parker squared it.
A bit of a Parker Square of a video. Feels more like an extra footage kind of video.
I'm gonna do this at parties and tell people I'm a mathemagician
Arson Bjork didn’t expect to see you here
Ben Hanlin didn’t notice that the 2x2 square of 11,8,5,10 will always be constant of 34. If you want those extra 2x2 to work, n=34.
{insert Parker Square joke here}
that's a parker square of a sarcasm
"look at him think!" xD
can you see Brady's mind cogs, Matt?
just watched one of your shows in Leicester and just wanted to know, do you even lift bro?
Early? I’d better make a joke
Nah, I think I'm gonna Parker Square it...
6 likes? It seems you Parker sqared an attempt at a Parker square, which means you didn’t Parker square it meaning you started a Parker square paradox
That was a Parker Square of an attempt at making me believe there wasn't a trick behind that.
Is this going to be another Parker square
A video on the new common core math perhaps?
curious on your opinions.
+Dashed thats a whole new can of worms that is best left unopened
Some Random Fellow
So i've heard.
Still curious though
the four corner numbers also add up to whatever the number is
still a Parker square of a episode
The Lowest magic square is 34 by the standards of 16 different numbers of which all sides equal the same including the 4 corners and diagonals. In fact using the chart you showed we can reuse to figure....example....
1,2,3,4,5,6,7,8,9,10,11,12
21,22,23,24
Are the numbers to get 42. Now if we want say 34, we can subtract 7 from each of our 2x digit numbers.
Making 34 the lowest possible not using integers having numbers
1,2,3,4,5,6,7,8,9,10,11,12
13,14,15,16
Using this chart 34 Is the lowest but there is no limit on how high as long as his presentation graph is used.
It is important because all of the numbers we are changing are all in their own row and column. You can't move or rearrange those 21,22,23,24 digit numbers since those are the ones we will be manipulating.
But by his chart we have a magic square possible for every single number above 34.
i have question about number 3.
if i take number, that can be divided by 3 and sum up its digits, it will give me number that can be divided by 3. why is that?
the 4 center numbers add up to ''42'' first row 2 even numbers front row 2 odd numbers all 4 center squares add up to '42'... even odd =8 10 _21 3 top bottom x diagonal even 8 3 _ 10 21
Are there any magic squares where the side 4 add to the number too?
Thank you!
For n = 34, you get 34 in every possible 2x2 square
So, all other values gives you a parker square, in that case
Give me a number !
Ok , Thoughty2 .
+Andrei Constantinescu Wut?
lol
I tried this trick at a party, but it turned out to be a real Parker Square.
Make a video on the function of a rubber duck!!!
What about the squares at the sides? i.e. 11+8+5+10=34 in the 42 square, do those not count?
The corner squares add up too.
Me and my friends are going to party so hard with this trick!
Have you heard about Ramanujan square? U will get mind blown 😵
With a lot of numbers you'll repeat some numbers.. it's a Parker square of a trick.
Thank you! now I'm so popular at parties! :D