Once you see the pattern, this is actually quite fast to generate. The only problem is that if it's done the intuitive way in front of an audience, everyone would instantly see the trick. :D So it's probably unavoidable to have to mix the order around a bit to make it less obvious and that will require some concentration.
There is a fairly simple algorithm to this 5x5 magic square. Notice where he starts out and you will find that the square 2,2 (row,column) is important.. Sorry singingbanana i could not resist..
I wonder if we do this the same way. I know you've seen my excel program which does it, but I've only just taken to doing it by hand. If we do this the same way, you are very fast. It takes me about 5 minutes right now, and I certainly couldn't talk coherently during the operation.
If you have seen the method for making one of these were you put 1 in the 3rd colum 1st row then go up one and one right and put two etc. now if n/5<13 replace 1 with n/5-12 if not n/5-13.
It's actually fairly easy when you see the system. It took me a while to figure out how to start out and how to adjust the last five numbers without the need to reuse previously used numbers. Thanks for this little brain tease.
You make math way more fun and entertaining than any of my teachers/profs did in high school/college. Love this kind of stuff. Nice to see this kind of stuff used for entertainment. (also nice to see that I can enjoy math haha). Great video.
The second example seems to be exactly like the 4x4 in the other video, and involves the number 42 (or 44, depending on how you think about it...). I'm still thinking about the first example - that's quite different, or seems to be...
what is the mathematics behind the 4x4 and the 5x5 square. To create such a square I imagine you take a standard magical 5x5 square and add or subtract a certain number from it to create a magical square for the specific number in question.
did you try other square sizes? at the first moment it looks like it works in any size, but im not sure if all combinations like the crosses still work. cant find a quick solution for that =(
You should add an annotation"19" over the top left corner number from :41 to 3:14. This would prevent people from mistakenly thinking that it is a "14"
oh shit lol pullin out the negative digits nicely done actually totally awesome but i see how its done it would take me forever because i add a little slower then most but this will be nice practice to keep me in mathematical shape
That was awesome! Naturally everyone is going to try and find a flaw. I first saw your pi trick on scam school. I really enjoy math and Hope I can do some of these things one day
@singingbanana You should add an annotation"19" over the top left corner number for the from :41 to 3:14. This would prevent people from mistakenly thinking that it is a "14"
I only count 120 ways to get to the sum. I figure for the "pluses" and "crosses" (2 sizes for each), these are uniquely determined by their center (25 choices since we're allowing wrapping). The rows, columns, and cross-diagonals are preserved by wrapping, so there are only 20 such sums. Perhaps I am missing some of them?
Hi Jim, It's arthritis, I cannot understand why it works, ie. how does this mechanism of building the magic square work. Can we actually build magic squares of nxn of any size? And do they all work on the principle of determining the values of
Magic squares exist for all sizes, there are a few methods for constructing them. And in this video I used a more complicated method than just altering the last n.
Well, I made a similar magic square for a sum of 91, but that was a little too easy. Is there really a way to calculate this or was 68 a little less than random?
There are definitely patterns in the method you used to construct those two squares, though you did hide them a little. I don't feel like analyzing it at all right now, but if or when I do, your secret is safe with me.
After working on it, I think I may be on the verge of working out how you do it. I just need to work on it to find out what determines the shift in the 20 non-significant numbers.
brilliant! will recommend to family and friends, as usual with your vids!
i wish you could come to my country (israel), if you do, be sure to post something on your channel. We've got a huge department of mathematics in Haifa, would love hearing you live!
What a coincidence, just this morning, going to school, i was thinking on creating a magic square and how it works. Cool.
xxxrrrxxxrrr 1 week ago
Add 4 to all those numbers and all the tricks will add up to 65 using the numbers 1-25.
Thunderstorm281 1 week ago
my god i thought it was all going to equal sixty five........
knightkiller23 1 week ago
This has been flagged as spam show
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rank first is your best choice. Enjoy it!
BrainyAdv 2 weeks ago
Comment removed
BrainyAdv 2 weeks ago
Genius everyone?
finster796 3 weeks ago
how you do that too fast?????
dudestedo 1 month ago
9 9 9 9 9
9 9 9 9 9
9 9 9 9 9
9 9 9 9 9
9 9 9 9 9
Everything... the point is to take 5 random numbers >.< which would make 25*24*23*22*21 or 6375600 combinations to make a 45 :D
iK0cc4 3 months ago
Once you see the pattern, this is actually quite fast to generate. The only problem is that if it's done the intuitive way in front of an audience, everyone would instantly see the trick. :D So it's probably unavoidable to have to mix the order around a bit to make it less obvious and that will require some concentration.
roddy0 3 months ago
I hate apples i like annoying oranges and i bet mismag gave u thise cards
MegaDude599 3 months ago
45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45
penguinpiebizzle 3 months ago
HOW DO YOU DO THAT???? I'm stumped -.- :( make a video on how to do it?
thunderjosh97 3 months ago
okay so his voice is amazing...i couldnt concentrate on what he was saying :P
rayfye 4 months ago
There is a fairly simple algorithm to this 5x5 magic square. Notice where he starts out and you will find that the square 2,2 (row,column) is important.. Sorry singingbanana i could not resist..
SludgeFuZZ 4 months ago
Do you gone expain how your are doing this
myworldismine72 5 months ago
I wonder if we do this the same way. I know you've seen my excel program which does it, but I've only just taken to doing it by hand. If we do this the same way, you are very fast. It takes me about 5 minutes right now, and I certainly couldn't talk coherently during the operation.
Error081688 5 months ago
@Error081688 Neither did I!
singingbanana 5 months ago
i was listening on how many numbers add 2 45 and i was like...of corse
...of course
glitchmaster8000 5 months ago
i got here from ericsurf6 who sent me to mismag822 who sent me here
Angel090701 7 months ago 4
If you have seen the method for making one of these were you put 1 in the 3rd colum 1st row then go up one and one right and put two etc. now if n/5<13 replace 1 with n/5-12 if not n/5-13.
001BrainyBrady 8 months ago
mismag brought me here
1dexlab 8 months ago
Please post a tutorial!
MasterROBO360 8 months ago
wow a banana is singing
akmalhafiz1 9 months ago
I CANT CALCULATE THE WHITE DOTS !!!!!!
KitChen5548 9 months ago
Hey dumbasses the top left number is 19...
SAGman96 9 months ago
It's actually fairly easy when you see the system. It took me a while to figure out how to start out and how to adjust the last five numbers without the need to reuse previously used numbers. Thanks for this little brain tease.
SludgeFuZZ 10 months ago
you idiots the first number is 19 not 14
10Dante4 10 months ago
Is it possible to construct a 3 dimensional magic cube?
Chessmaster777 10 months ago
tutorial plz.
megajokercard 11 months ago
You make math way more fun and entertaining than any of my teachers/profs did in high school/college. Love this kind of stuff. Nice to see this kind of stuff used for entertainment. (also nice to see that I can enjoy math haha). Great video.
KatanaSpirit 11 months ago
works in a pub
because everybody is pissed?
islandbuoy4 11 months ago
Rape! Run away from this video!
LeighzerCuber 11 months ago
my mind just got bombed
mofunzonecom 11 months ago
I'm guessing this is some form of sudoku?
anizi201 11 months ago
Does James Grime own SINGINGBANANA?
Nathanity1000 11 months ago
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Reddy6cp 11 months ago
HEY GUYS THE NUMBER AT THE LEFT CORNER IS 19 NOT 14 ~
Ashishbijaygupta 1 year ago 16
@Ashishbijaygupta oh! hahahahaha!
chad2091324 5 months ago
How do you like them Apples :D:D Good Wil :)
pwnreza 1 year ago
i am pretty sure the top row doesn't come on 45....
19+2+15+2+11=49
correct me if i'm wrong:$
vssnfrankiej 1 year ago
@vssnfrankiej 19+2+15+(-2)+11 = 45. the second two is a negative.
onedollarbill94 1 year ago
@onedollarbill94 ah ok, my mistake:P
i'm not really in to this puzzles:P
vssnfrankiej 1 year ago
@vssnfrankiej It is 19+2+15-2+11=45, the second two is actually a -2.
MasterROBO360 8 months ago
@vssnfrankiej If you watch until the end it becomes 19+2+15+-2+11=45.
001BrainyBrady 3 months ago
lol put captions
virgoniana9 1 year ago
the number on the top left is a 19 not a 14
btsax2 1 year ago
The second example seems to be exactly like the 4x4 in the other video, and involves the number 42 (or 44, depending on how you think about it...). I'm still thinking about the first example - that's quite different, or seems to be...
macronencer 1 year ago
Oh no, wait - I get it now :) Nice touch, subtracting to get the negative numbers. Neat video!
macronencer 1 year ago
the upper most left is not 14 its 19...
nickelflorita1 1 year ago
Thanks a lot for this video! This one is so much cooler then the 4x4 magic square, I'll definitely use it myself!
xRNEx 1 year ago
I love Apples!!!!!!!!!!!!!!!!!!!!
66CrtS 1 year ago
amazing
DrAppleEST 1 year ago
i dont get it..
MrFriuX 1 year ago
How the hell does he do that?
789TheBeatles 1 year ago
at the left column who writes a one like that? Is that a 1?
MagicIsReal13 1 year ago
Woah... I'm impressed!
MixZatPunceke 1 year ago
1:10, left colom: 13+7+6+14+0=40=/=45
imorio 1 year ago
@imorio it's 19, not 14... -_-
lottoformulier 1 year ago
please tell us how
pi4er 1 year ago
what is the mathematics behind the 4x4 and the 5x5 square. To create such a square I imagine you take a standard magical 5x5 square and add or subtract a certain number from it to create a magical square for the specific number in question.
WhatforNameIsThat 1 year ago
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xxstrxxnowxx 1 year ago
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xxstrxxnowxx 1 year ago
mismag822 and Ericsurf6 got of 100k views between them and didn't make the trick.
cmoz88 1 year ago
cool
lmc6506 1 year ago
nice vid and a clever idea to use an easy trick.
did you try other square sizes? at the first moment it looks like it works in any size, but im not sure if all combinations like the crosses still work. cant find a quick solution for that =(
ilisan 1 year ago
Top left is a 19 not a 14. I believe it's just written a bit unclear. It is completely accurate....as far as i have checked that is. ;^)
Now explain WHY it works. Not THAT would amaze me even more.
PuppyZwolle 1 year ago
i thought the # wuz 65 not 45
ValStephFun123 1 year ago
You should add an annotation"19" over the top left corner number from :41 to 3:14. This would prevent people from mistakenly thinking that it is a "14"
mismag822 1 year ago
why are you taking your hand away all the time? like you are using another one which is premade
pawningcity 1 year ago
Could you do a tutorial for this...say...at 5000 subs?
Alfalotter 1 year ago
make a 10x10
k0d14k1 1 year ago
oh shit lol pullin out the negative digits nicely done actually totally awesome but i see how its done it would take me forever because i add a little slower then most but this will be nice practice to keep me in mathematical shape
TheCAPTAINman128 1 year ago
everyone thinks the top left hand corner says 14 its 19 people
xLittleVinnie 1 year ago
u shoulda said "how do u like those bananas"
funhat65 1 year ago
damn, 45 must be the new answer to the universe
Yo5hi202 1 year ago
That was awesome! Naturally everyone is going to try and find a flaw. I first saw your pi trick on scam school. I really enjoy math and Hope I can do some of these things one day
NewBornAssassin11 1 year ago
ohh, you like to do pubs in tricks too? *hic*
Slowergrass432 1 year ago
you said 45 but you you wrote 65
ravemasterdbzwwe 1 year ago
my mind EXPLODED
benjaminp4 1 year ago
@TheLittleHousePA the top row doesn't add up to 45 either
rafathama 1 year ago
@rafathama Yes, it does.
singingbanana 1 year ago 10
@singingbanana Well, 14+2+15-2+11=40
TheLittleHousePA 1 year ago
@TheLittleHousePA Well, good job that doesn't say 14 then.
singingbanana 1 year ago 26
@singingbanana Oh, sorry, I
t looked like a 14. I'll be careful next time. =)
TheLittleHousePA 1 year ago
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xESOTERlC 1 year ago
@singingbanana I can't blame him, it looks like 14, but I know it's a 19 (checked and it works with 19)
TheBer352 1 year ago
@singingbanana
Unfortunately your 19 looks like a 14 to me as well. I had look closer to see that ii is actally a 19.
livingwill1 1 year ago
@TheLittleHousePA it's 19 not 14
TheThealbanianking 1 year ago
@TheLittleHousePA
It's 19+2+15-2+11=45
rebskie1 1 year ago
@rebskie1 19+2+15-2+11=49
ExtremeHardcoreGamer 1 year ago
@ExtremeHardcoreGamer
lol, 19+2 =21 +15= 36 -2=34 +11=45
xLittleVinnie 1 year ago
@xLittleVinnie sry, dont saw the "-" thought it was "+" ^^
ExtremeHardcoreGamer 1 year ago
@TheLittleHousePA He's right, it says 19.
wreynolds1995 1 year ago
@TheLittleHousePA z.z fail.
lty200 1 year ago
@TheLittleHousePA x.x its a 19 instead of 14.
lty200 1 year ago
@TheLittleHousePA its a 19
stelios621 1 year ago
@TheLittleHousePA that doesn't equal 40 anyways haha.....that equals 44
myfaceispurple 1 year ago
@myfaceispurple You forgot to minus 2, I think.
TheLittleHousePA 1 year ago
@TheLittleHousePA 14+2+15-2+11 =/= 40 o.o
omghahas 1 year ago
@omghahas
Okay, that doesn't make any sense.
How does that not =40.
I know I was wrong before but now you are wrong.
TheLittleHousePA 1 year ago
@TheLittleHousePA
14+2+15+2+11=29+2+2+11=40+2+2=44
vssnfrankiej 1 year ago
@TheLittleHousePA Its 19+15+11 = 45 {the 2 & -2 cancels each other} :)
Peace \m/
erosstallone 10 months ago
@TheLittleHousePA It says 19+2+15+-2+11=45.
001BrainyBrady 3 months ago
@singingbanana You should add an annotation"19" over the top left corner number for the from :41 to 3:14. This would prevent people from mistakenly thinking that it is a "14"
mismag822 1 year ago
@singingbanana The top row = 49.i used a calculator any1 thank of that????!!!!
joshi12311 11 months ago
@joshi12311 top row, 19+2 = 21, 21+15=36, 36-2=34, 34+11=45, What the hell did you type in your calculator?
Sepiwirl 10 months ago
@joshi12311 The second 2 is a negative 2. So it is 45. You punched in 19 +2 +15 +2 +11, but its 19 + 2 + 15 -2 + 11.
MasterROBO360 8 months ago
@rafathama the 14 you say of is a 19
jamere20 1 year ago
@rafathama its a 19 not a 14
Everyvideo123 1 year ago 10
@rafathama it's 19 not 14.
MarianG89 1 year ago
the left column doesn't add to 45. lol.
TheLittleHousePA 1 year ago
@TheLittleHousePA can't read numbers lol. Maybe he/she should take more care before posting lol. Writing lol is really obnoxious lol.
singingbanana 1 year ago 16
@singingbanana I think it's because the 19 looks like a 14.
Alfalotter 1 year ago
@singingbanana lol
seedililbarf 1 year ago
@singingbanana you should really write properly.
Cardister 9 months ago
@TheLittleHousePA Its 19+0+6+7+13 = 45... :)
Peace \m/
erosstallone 10 months ago
@TheLittleHousePA That's not 14 it's 19! (The upper left corner)
Chromey37 9 months ago
I only count 120 ways to get to the sum. I figure for the "pluses" and "crosses" (2 sizes for each), these are uniquely determined by their center (25 choices since we're allowing wrapping). The rows, columns, and cross-diagonals are preserved by wrapping, so there are only 20 such sums. Perhaps I am missing some of them?
MooCowNo21 2 years ago
Yup, those are the nice 'pattern' sums. There are a thousand more, just not in nice patterns.
singingbanana 2 years ago
It is ont right if you check all this boxes they arent all add 45
iroNMike1995 2 years ago
Do you by chance have a book called "Hexaflexagons and Other Mathematical Diversions"?
Puzzlaholic 2 years ago
I don't have that particular book, but by the sounds of it I probably have a lot of that material in other books.
singingbanana 2 years ago
are you going to reveal how this is done? pls
Ramhams1337 2 years ago
awesome
rasikpoudyal 2 years ago
Please explain how to do this.
By the way...I agree with doughside, that marker is annoying.
Alfalotter 2 years ago
damn I hate the sound of that marker... like scratching a chalkboard O_o
tho it's cool
doughside 2 years ago
make a tut
chelseafcman2 2 years ago
cool
ImThEkInGoFhAlO3 2 years ago
halfway through the vid and i had to stop because this is bugging me. The first colum adds up to 40 not 45.
hyldago 2 years ago
The number in the top left corner is 19 not 14.
mismag822 2 years ago
can some one plz mak a tutorial?
weflylow2183 2 years ago
Hi Jim, It's arthritis, I cannot understand why it works, ie. how does this mechanism of building the magic square work. Can we actually build magic squares of nxn of any size? And do they all work on the principle of determining the values of
n^2-n of the elements in the magic square?
arthritismutilans 2 years ago
Magic squares exist for all sizes, there are a few methods for constructing them. And in this video I used a more complicated method than just altering the last n.
singingbanana 2 years ago
Yes Jim, but you are still using the same principle. This is what i noticed,
There are only 5 numbers that you are determining, the rest of the 20 numbers move in a modular fashion.
Let a,b,c ...denote the column
Let 1,2,3 ...denote the ranks
the numbers you are calculating are a1, b4, c2, d5, e3,
the rest of the elements are actually modular of each other ( i.e. +4) in each number.
Can you do a third 5x5 sequence for us to see how you determine the modulus interval?
arthritismutilans 2 years ago
I guess if you were to start placing the numbers from 1 to 20, you would start with the centre
arthritismutilans 2 years ago
and it is moving in L shape
arthritismutilans 2 years ago
I guess what Error was talking about was an increase of modular 4, in each of the 20 non-calculated numbers, yeah, I solved 90 and 89 as well.
But guess was still a little dissatisfied, is there an algorithm to work out the way the numbers should be placed and why does it work that way?
arthritismutilans 2 years ago
And I begin to understand why those 5 numbers have to be in those specific locations.
Because in those locations, each diagonal/ combination of 5 number will only have one number which is calculated.
But i still cannot understand why the rest of the numbers move the way they do?
arthritismutilans 2 years ago
I'll send you a message explaining it.
Error081688 2 years ago
Well, I made a similar magic square for a sum of 91, but that was a little too easy. Is there really a way to calculate this or was 68 a little less than random?
Error081688 2 years ago
and I did one for 90. Also too easy though. Bah, what method are you using?? Anyway, lunch is over. I'll comment at you later.
Error081688 2 years ago
68 was random, first two cards out the pack, just as I presented it.
singingbanana 2 years ago
14+2+15+(-2)+11 = 40 not 45
aaronlennon619 2 years ago
Nope. Look again, that's 19+2+15+(-2)+11.
singingbanana 2 years ago
that's a 19, not a 14
Error081688 2 years ago
dude, epic. were you a college math major? and if so where lol?
MRwaffles4life 2 years ago
I will make a tutorial today or tomorrow and upload it here on youtube.
Weedjoe 2 years ago
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Weedjoe 2 years ago
aw c'mon Joe, why ruin the fun? Let singingbanana do one if he wants it to be known.
Error081688 2 years ago
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Error081688 2 years ago
There are definitely patterns in the method you used to construct those two squares, though you did hide them a little. I don't feel like analyzing it at all right now, but if or when I do, your secret is safe with me.
Error081688 2 years ago
please make a tutorial!
weflylow2183 2 years ago 20
@weflylow2183 I made a tutorial if u still need 1
xxstrxxnowxx 1 year ago
@xxstrxxnowxx where is your tutorial?
weflylow2183 1 year ago
@weflylow2183 Uhm my friend got on my youtube and deleted it to be a jerk a while ago. want me to re upload it?
xxstrxxnowxx 1 year ago
@xxstrxxnowxx yes please!
weflylow2183 1 year ago
@weflylow2183 Alright i gate go to work right now so ill upload it when ill get back. The method i use is the one he does on the second 5x5 one.
xxstrxxnowxx 1 year ago
@weflylow2183 Alright i gate go to work right now, so ill post it when i get back.
xxstrxxnowxx 1 year ago
@xxstrxxnowxx thank you!
weflylow2183 1 year ago
@weflylow2183 Aight its up it might not be the best tut. ever but ... enjoy :)
xxstrxxnowxx 1 year ago
Why do you move the pen out of shot after eat number is written?
JakeDrums3 2 years ago
You're just being picky now.
singingbanana 2 years ago
Comment removed
weflylow2183 2 years ago
I'm happy, but I want a tutorial! plzzzzz!!!
TheFlyingTiger129 2 years ago
That was great, hope you post more vids like this, give our brains a good workout you know, as we try and discover how you do it =D
Peace
MaffiasAngelO88 2 years ago
How on earth did you do that!?!
MrPurpleWhitey 2 years ago
You're just showing off now! Good video though. :-)
BrokenBoone 2 years ago 3
SingingBanana you're brilliant!
Begeru 2 years ago
Will you post a tutorial on this?
I already amazed my algebra teacher with the 4x4. Maybe I could make his jaw unjoint when I show him this ;D
PolarityArt 2 years ago 3
can u teach me to do pub in tricks??
goodisgoog 2 years ago
That was an incredible slip of the tongue. Doh.
singingbanana 2 years ago
After working on it, I think I may be on the verge of working out how you do it. I just need to work on it to find out what determines the shift in the 20 non-significant numbers.
aPenguin09 2 years ago 2
Please tell me how to do that before I melt!
Alfalotter 2 years ago
brilliant! will recommend to family and friends, as usual with your vids!
i wish you could come to my country (israel), if you do, be sure to post something on your channel. We've got a huge department of mathematics in Haifa, would love hearing you live!
orcyngiser 2 years ago
Maybe one day. It can happen.
singingbanana 2 years ago