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Magic Square Tutorial
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- Опубликовано: 11 янв 2010
- Amazing mathematical "magic" square. A spectator names any two digit number between 22-99 and after you fill in the 16 boxes there will be 28 possible combinations where the boxes will add up to the spectators number. Credit for teaching me this goes to SingingBanana. Please SUBSCRIBE to / singingbanana
Thanks for making me seem like a brilliant mathmatician! RESPECT to you Mismag 822 and SingingBanana. I love you guys.
The formula for getting the total in any regular magic square (numbers starting from 1 and going up) is n*(n^2+1)/2. In the case of a 4x4 MS, n=4. So the total of every row/column/diagonal would be 4*(4^2+1)/2 which is 34. Hence, the total has to be more than 34 for a 4 x 4 MS.
Watching this after 11 years ! And learning new things 😃!! Such a great video 💕💕
Hi, great tutorial! Very helpful. Is there any other combination possible as given numbers? I see other magicians like DMC and even Derren Brown do the same trick on national TV but with different number combinations. Just wondering. It would be good to have other options so I d not use the same ones every time. Thanks.
Great trick, I use to perform it several years ago your explanation is the better than most. Looking forward to using it again. Thanks!
haha did this on my dad, he thought i was genius
HAHAHA
Hahahahahaha!!!!!
hahahahahaha lol
Hahaha 🤣😂
I still have to see if this stays true for other numbers, but I noticed a pattern.
With 45, if you subtract 9 you get 36. Then, if you subtract 11 from 36, you get 25.
36-10=26; 36-9=27; 36-12=24.
With 50, subtract 9 and get 41. 41-11=30; 41-10=31; 41-9=32; 41-12=29.
Some computations may be a little more difficult, so, overall, it just depends on which is easier for you to remember, or easier to compute.
Also--interesting to know, but not necessary for the trick--with 45, 4+5=9, and 3+6=9. With 50, 5+0=5, and 4+1=5. Those are "digit sums", and when 9 is added or subtracted from a 2 digit number, the digit sums remain the same (i.e. 26, 2+6=8, 26-9=17, 1+7=8; or, 85, 8+5=13,1+3=4, 85-9=76, 7+6=13, 1+3=4, also 13-9=4). It's the curious nature of 9, which I'm sure can be explained mathematically, but I'm limited in my knowledge on that point. Too, much playing with Numerology and too much time away from other maths.
Good explanation, and was first proved by Indian Mathematician, Mr. S Ramanujam also know as 'The man who knew Infinity'.
Welcome :)
Watch something new tricks of 2 digits number ruclips.net/video/H0Mf3-Qp7jc/видео.html
This video is absolutely amazing. How did you able to have an amazing channel like this 😊 Continue inspiring others by your video.
Thanks. That enabled me to complete the magic square I needed, and I'll use it, but I'm still looking for a better looking magic square, The magic square that this method produced for me results in too many high numbers. They just look out of place with the more numerous smaller numbers. Better, would be a magic square where all of the numbers look like they belong together (This could probably be done by starting with higher numbers or by using bigger squares). However, that being said, I am very impressed at the great number of ways that this square produces the desired number. However, you have answered a question that has been on my mind: it is possible to construct magic squares for all numbers within a reasonable range.
There are ways to adjust it to make the numbers look more uniform.
If you set the number selection between 52-99, you can add 10 to the given numbers for each of the first 12 squares, and then subtract 50 from their answer for the upper left square and then add 1, add 2, subtract 1 as before.
I have found a way to use this for basically any number, although 9,999 is the highest I have gone, and a way to make your fill in numbers closer to the number the spectator says. The secret lies in the number 3. Let me explain.
As you taught in this video if you subtract 20 from the number your fill in numbers are 1 thru 12.
If you subtract 23 from the number your fill in numbers become 2 thru 13
In other words just add 1 to each fill in number. The rest of what you taught still applies. The spectator's number, +1, -1, +2 in the remaining squares.
If you subtract 26 the fill in numbers become 3 thru 14.
This pattern continues on up to as high as you want to go. For example if the spectator says 245 for their number you can subtract 200 from that which would make your fill in numbers 61 thru 72 & the other four numbers in order would be 45, 46, 44, & 47.
Try it for youself.
This is brilliant …I tried and it works 🙌
Thanks Lee Sharp
That was a good bit simpler than I thought it would be. I memorize the 4 variables a little differently going:
A1 = x - 20
B4 = A1 + 1
C2 = A1 - 1
D3 = B4 +1
THIS MAKES PERFECT SENSE!!!!!!!!THANK YOU 45 TIMES AND MORE...........
Welcome :)
The number must be between 22 and 99 for it to work
It actually works for all numbers, but you end up with zero or negative numbers
@@connorhayes2374 rlly? thanks!
It seems to work for any number if you don't mind repeating a value, including negative numbers. Simply spreadsheet it, and have fun.
16×16 ..use 1 to 256 number in the same manner...have any idea or formula to go on.. and go no with more numbers?
what about 30 using only 2,4,6,8,10,12,14,16,18? 3x3 magic square
i found a new way
2 squares in the middle
11+8+5+10 = 34
24+2+3+27 = 56
56 + 34 = 90
90/2 = 45
did you mean 24+2+3*+27=56?
Yes! I tried it 62 and got it first time! By the way, just to note, it doesn't work with the middle-left and middle-right 2x2 squares, but it will with the middle-top and middle-bottom.
@MattMacLean1991 Still works, but you have to use negative numbers in A,B,C,D
boxes.
WOuldnt it be abetter idea to have D as A then it increases by 1 each position?
But you would start subtracting 21 right?
Legend says that he still finds combinations! :)
So funny...
That was cool, but now I'm gonna be doing it all the time because I can't resist, thanks a lot lol :)
Been looking for how this is done, brilliant. One thing though you dont have to remember the bits about taking off 20, etc because you can work out the last 4 values by adding up the 3 values on a row or column each time.
I have one friend I thought he was a brilliant mathematician by this method
Lol😂
this name ramanunjan magic square we know 100 years before what explain now.ramunjan used his date of birth in this square.
so you were hundreds years before how old are you
@@thelegend3515 we not refers to him...we refers to the whole world...so if someone invents bulb in 2020 and everyone will say thatvwe knwe it 100 years ago...does it make a sense...
Dude he is juat explaining why r u saying "we know 100 years before you explain"
Magic squares..or so called: Lu sho squares..originated from Lu sho river in China...4000 years back...in Astrology..they called: Planetary squares...and in Fing shoi rituals called: Energy squares...they concield a vield hidden knowledge...only very very very few ppl knew...it has been said that the squares combine time & space in a sophisticated method
You can also take the top 2 squares in the middle and add them to the bottom to squares in the middle and that adds up to the number. As well as the side boxes in the pair.
this gave me an idea for an impossible math trick and only 50% of people will figure it out >=3
it is also done in ericsurf6
cool channel.
ARCHAIC SYMBOL
Works without repeats for all sums 34 and above. Sum=34 square is special using all numbers 1-16 and in this case sums work for all 2x2 squares as well :)
I guess I would never have posted had I seen your comment first. Well said
@mandudeguy22 - 2x2 means a polygon that is 2 units high and 2 units wide
All 2x2 squares add up to 45 or 50, depending on which grid you look at during the video.
This doesn’t work at all times. For example if the number is 22 the number 3 is going to repeat itself.
You can accommodate the numbers at your leisure and without repeating any of them, even if it is 22 or another number, in fact you choose the numbers. What happens is that this method is limited because it varies only a quartet of numbers, the method of mine, the above is unlimited since you can vary the 16 numbers and adjust them to your requested sum
A 1 2 3 4
B 5 6 7 8
C 9 10 11 12
D 24 25 26 27
For example, varying the quartet that our friend exhibited, subject to our wishes, say to obtain 22
A 1 2 3 4
B 5 6 7 8
C 9 10 11 12
D 1 2 3 4
or
A -22 -21 -20 -19
B 5 6 7 8
C 9 10 11 12
D 24 25 26 27
or
A 1 2 3 4
B -18 -17 -16 -15
C 9 10 11 12
D 24 25 26 27
or
A 1 2 3 4
B 5 6 7 8
C -13 -12 -13 -14
D 24 25 26 27
Of the four possibilities in one the numbers are repeated, and it is the first option, but in the others they all form magic squares with sum 22
Resolving the second option, and leaving the others as a challenge for you
-22 8 11 25
26 10 5 -19
6 -20 27 9
12 24 -21 7
Eye, that is my method discovered in the year 2000 and that here on youtube they will not explain it to you
hector chumpitaz this doesn’t work for any number less than 34. This uses numbers 1 through 16. This method can be used for any 2 digit number greater than 33
How does one fill in the square if the total needs to be 22-33? This method does not appear to work for 22-33 without using repeating numbers or zero.
it works very well, check again.
the reason there's 28 possible combonations for this trick is because there's 1 letter in each of the quadrents. there's 1 letter in the 4 corners there's 1 letter in the 4 center corners. theres 1 letter in all of the 3*3 square four corners. there's 1 letter in everything you said. that's why it works.
If you use an N less than 33 then don't I sometimes end up with a duplicate 1 digit number? Eg...if I use 25 and the target sum and I subtract 20 I will have 2 "5's" won't I? So should I just say pick a number between 33 aned 99? Doesn't 22 duplicate some number like "2"? Suggestions?
Why don't u take a look the same with us?
great trick, but which sense make it for me? :)
From 3:08 onwards it is basic maths akin to that used in a sudoku. You don't need all the other nonsense about remembering 10, 11, 12 zigzag patterns or A B C D. It overcomplicates it.
To get continuous numbers other system available. But it is multiple of total of 1 to n numbers n= total number spaces .
As I wrote in "The Magic Square Performed by Ben Mack" :
The square around {11, 8, 10, 5} sums to 34 - and yes, always 34 by this method, since these 4 nos are "fixed" by this method.
Also the Square around {24, 2, 3, 27} sums to 56 in this eg, shown for 45. Of these, the nos 2 and 3 are "fixed" by this method.
Both the Authors need to have pointed out the "omission" of these 2 Squares - they leave it out rather very conveniently ! ??
They demonstrate all the other combinations, but not these.
That is the coolest......
this is incorrect soln... 24+2+3+27 = 56
11+10+5+8=34
Welcome :)
how??? I am confused at counting this all
If you count opposite outer edges without counting the corners, you get 45. So 11-5 and 2-27 gets 45. 1-12 and 26-6 is yet another 45. The center 2 by 2 (8-24-10-3) square is also 45.
thanks to this video I learned how the "Magic Square" works and now I know what numbers must go where, what numbers must be added and such. I can now use this math trick to fool people into thinking I am a Mathematician. A question I have about this video is I wonder how anybody discovered this math trick in the 1st place and How do you figure out this trick as well?
um like th is looks confusing while he was making more copy papers and you see I think that he has a lot to show everybody about this lesson !!!
#(this is a noir a lesson the I have for homework today )
Watch something new tricks of 2 digits number ruclips.net/video/H0Mf3-Qp7jc/видео.html
Okay
so there is a mistake in the trick as one 2x2 does not add up to the given number.
But this can be resolved by using the following square
1 12 7 A
8 D 2 11
10 3 C 5
B 6 9 4
The same rules apply
though the 'cross diahonals ' dont work
well its not possible to have all combinations exept the number is 34,in which case an additional property is that all numbers frm 1-16 are used
GOOD LUCK
@eenayeah Because you have to make sure that each block, row, diagonal row, etc. equals 45
Man whoever made this up must have had A LOT of spare time
Singing banana?Isn't he the famous mathematician who shows up on numberphile...forgot his name?
+Josh Nigam James Grime. It is indeed him!
+DanTheStripe Yes, thanks!
john searl
number should be between 22 to 99 but in tutorial you say watever number .
Faisal Shabir
He says between 22 and 99 twenty seconds into the video wtf are you talking about
no problem.. check with CSK
@rangedtarge you use a dice to choose the number though, and it goes from 1 till 6, so its impossible to pick 40
If you calculate D by substracting 21 from the magic number, you can just count D, A, B and C by adding one every time. Same result but to me that’s a more easy way.
I would like to know the logic behind it
4+9=12+1
Sum of corners of bottom line is equal to the sum of middle two squares of top line
awsome!!!
At least he didnt open a math book. It is only full of problems. This was enjoyable to watch though.
Awesome!!!
You sure deserve my thumbs up!!!!
Have a great day!!!
12/22/17
confusing
No problem.. Check with us. :)
this does not help me much
Check similar one with us :)
Watch new 2 digits square tricks something surprise u ruclips.net/video/H0Mf3-Qp7jc/видео.html
Do u want to know how to a 3-digit number?
Wow... that's pretty cool (I just read a book and it they showed magic number square but it would also still work if you flipped it 180 degrees).
I just pulled the Magic Square on my mom. She is amazed. Thx for the lesson! (Might not surprise my school friends since, well, I'm a math whiz.)
11 8 5 and 10 are in a 2X2 and they are 34... fail?
He said and shows that It’s only the four groups of four, as in the four in the bottoms left, top left, top right, and bottom right. Not a fail.
Not that much good. I don't think so!!!!!!!!
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.
So simple, yet so beautiful.
Damn, I'm subbing, u explained this so awesome I got it right at first try's.
Yeah thanks for spilling the beans
this is actually pretty cool!! keep it up!
on the Penn and Teller question...magicians should google mentalist or magician Center "Tear"...which may enlighten
a b c and d do not touch in any row or collumb. The rest is simply arbitrary, it's like sudoku, just a tad more complicated because of the addition. There are other combinations to do this, if I'm correct, I haven't looked at it. It wouldn't necessarily work with 22-99, but one or more specific numbers. It started with a *make everything add up* puzzle. someone figured it out and created a template for any number.
Awesome for my 9 year old daughter! Something like this can spark her young mind and who knows what it could lead to!
holy crap this is taking me forever to figure out but once i do it will be worth it this is an amazing trick
lol, everyone seems to be flabbergasted by the fact that your a lefty XD
very nice trick, thank you! i will defenitely learn this one.
OMG You're a lefty!!!
@brendanhendricks1 yeah it does, so if it's -1 you have to subtract 1
thanks i learned this in 1 minute and its very easy for me. thanks so much!! this is awesome
it works for lower sums too if you allow negative numbers
@MrYellowninja this is nothing like sudoku, just cos it involves a number grid doesn't automatically make it 'like sudoku'
It´s awesome. And it works for any number, even negative. Try it, for instance, with number (-7).
But how we know the spectacular choosing what number
Thank you so much for this great tutorial. I really wish you all the best .You are a genereous and courageous man .i don't know many people like you who are willing to spread knowledge even if it means unfoldding their own secrets;
thank you ; Rachid
I think there are not only 28 combinations but 32
9 2x2 box combinations
6 4x2 rectangles add corners
@mandudeguy22 he said 28 possible combinations add up to 45, not any four squares you pick will add up to 45.
I can sum this video up in one line. Okey, here we go, write 4x4 squares, in a wavelike pattern write "11,5,4,1,8,10" starting from 1-2, at the others fill in "12,x,3,6,7,2,x,9" (x is empty) while the rest, going right, is your number -20.. -19.. - 21.. and finally -18. Hard? No. Or you could do as mentleboy recommends, it's probably the best way anyway. :o)
it can be remembered so too , if you do it so D=A , A=B, C=D, and B=D then, if you wanna put the A you subtract 21 and if you wanna get B you add 1 to A, to get C add 1 to B etc. ;)
it's possible with ALL numbers you can imagine, even with negative or over 1000000. But then you'll have negative numbers or very high numbers which strike out.
for the effect it's the best to use numbers from 21-30, then you'll avoid having high numbers which strikes out and it's easier to calculate.
you are so awesome, man, i can not describe. i really made my friend think im some sort of a math genius or something, making him this crazy magic square, he is amazed and i thank you so much... this is awesome!!!
Easy method. Wd know we need sums of 9 to start. Mneumonic. A 54 year old mother has an 18 year old son. When he turns 36, he becomes gigalo to rich 72 year old widows. With the fill in, you only need to know is minus 25 and all else falls into place.
Brillant Idea
Thank you sir of this brillant idea ☺☺🙂🙂🙂
Arigatou Go Saimas Kun. Thank you so much. An awesome trick
i did this to my teacher and he was jaw dropped and i do have an a in math but i dont get some stuff with squares like this but got it on first time
Priest puncher is right. 22 does not work without repeating #2 in square 1 and 8. Also repeated is #1 in square 2 and 7
Great Mr Mismag Thanks 👍 .greeting from Denmark
wow,... you are amazing dude! i think you are my best subscribtion :)
5* ur the man!!! keep them commin!
Yes I agree, it looks hard the 1st time, but if u look at it after 3 or 4 time u start to get it, as long as u write it down as u watch it though!!!
only needed it once, great quality thank you so much for taking the time and effort out of your day to help us
thanks man this helped alot because i had homework,i subbed
@boswell255 actually it should work just fine, it's just that for 21 you get a zero and below that, you get one or more negative numbers. It's just to keep it simple. that way even children can do it.
Simple, amazing... simply amazing.
@swany01 0:20 two digit number between 22 and 99
@ingram450g you ask them to pick a number between 22 and 99. he said that at the beginning
Thank you for this very valuable gift!!!!