Magic Square Tutorial
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- čas přidán 11. 01. 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
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Thanks for making me seem like a brilliant mathmatician! RESPECT to you Mismag 822 and SingingBanana. I love you guys.
haha did this on my dad, he thought i was genius
HAHAHA
Hahahahahaha!!!!!
hahahahahaha lol
Hahaha 🤣😂
@MattMacLean1991 Still works, but you have to use negative numbers in A,B,C,D
boxes.
Great trick, I use to perform it several years ago your explanation is the better than most. Looking forward to using it again. Thanks!
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 💕💕
This video is absolutely amazing. How did you able to have an amazing channel like this 😊 Continue inspiring others by your video.
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 czcams.com/video/H0Mf3-Qp7jc/video.html
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.
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 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.
this gave me an idea for an impossible math trick and only 50% of people will figure it out >=3
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!
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
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.
Legend says that he still finds combinations! :)
So funny...
I have one friend I thought he was a brilliant mathematician by this method
Lol😂
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.
Man whoever made this up must have had A LOT of spare time
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?
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
Arigatou Go Saimas Kun. Thank you so much. An awesome trick
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.
it is also done in ericsurf6
cool channel.
ARCHAIC SYMBOL
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.
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
what about 30 using only 2,4,6,8,10,12,14,16,18? 3x3 magic square
WOuldnt it be abetter idea to have D as A then it increases by 1 each position?
But you would start subtracting 21 right?
Yeah thanks for spilling the beans
That was cool, but now I'm gonna be doing it all the time because I can't resist, thanks a lot lol :)
That is the coolest......
this is incorrect soln... 24+2+3+27 = 56
11+10+5+8=34
Welcome :)
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
this is actually pretty cool!! keep it up!
Amazing! Thank you. I have been subscribed.
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
great trick, but which sense make it for me? :)
So simple, yet so beautiful.
At least he didnt open a math book. It is only full of problems. This was enjoyable to watch though.
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 czcams.com/video/H0Mf3-Qp7jc/video.html
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.
Awesome!!!
You sure deserve my thumbs up!!!!
Have a great day!!!
12/22/17
how??? I am confused at counting this all
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.
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.
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
awsome!!!
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.
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?
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
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
only needed it once, great quality thank you so much for taking the time and effort out of your day to help us
Damn, I'm subbing, u explained this so awesome I got it right at first try's.
confusing
No problem.. Check with us. :)
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.
It seems to work for any number if you don't mind repeating a value, including negative numbers. Simply spreadsheet it, and have fun.
@rangedtarge you use a dice to choose the number though, and it goes from 1 till 6, so its impossible to pick 40
this does not help me much
Check similar one with us :)
Watch new 2 digits square tricks something surprise u czcams.com/video/H0Mf3-Qp7jc/video.html
Do u want to know how to a 3-digit number?
Not that much good. I don't think so!!!!!!!!
This helped so much! Thankyou!
Simple, amazing... simply amazing.
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
Thank you for this very valuable gift!!!!
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.
thanks man this helped alot because i had homework,i subbed
Clever and entertaining stuff. Thank you
@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.
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).
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.
it works for lower sums too if you allow negative numbers
It makes sense the first time. Mathematics is magic.
@eenayeah Because you have to make sure that each block, row, diagonal row, etc. equals 45
That's freaking amazing, and yet it's so simple to understand! ...well to me it is...
very thorough explanation. thumbs up!
Thanks. I used my invisible deck.
To get continuous numbers other system available. But it is multiple of total of 1 to n numbers n= total number spaces .
@brendanhendricks1 yeah it does, so if it's -1 you have to subtract 1
This trick during my search . thanks master .
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
It´s awesome. And it works for any number, even negative. Try it, for instance, with number (-7).
Loved it!
thats really neat i got it the first time now lets see if i can remember how to do it :)
Keep up the good work
But how we know the spectacular choosing what number
Awesome for my 9 year old daughter! Something like this can spark her young mind and who knows what it could lead to!
THIS is best suited for numbers under 25, a foundation square works a lot cleaner---but requires a little bit more maths
Awesome trick. Thanks man!
Thank you, it really helped.
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!!!
this is so good! im gonna own my maths teacher with this! thanks =)
thanks i learned this in 1 minute and its very easy for me. thanks so much!! this is awesome
sick, this is effin twisted. thanks jay!
Using my positional positional method I can vary any quartet of numbers and not just the quartet A B C D
A 1 2 3 4
B 5 6 7 8
C 9 10 11 12
D 24 25 26 27
Using my position algorithm I get
1 8 11 25
26 10 5 4
6 3 27 9
12 24 2 7
holy crap this is taking me forever to figure out but once i do it will be worth it this is an amazing trick
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?
got good stuff for my maths day thank you
roll any dice 5 count top and bottom what do you always come up with
on the Penn and Teller question...magicians should google mentalist or magician Center "Tear"...which may enlighten
what happens if they pick a prime number? then what do you do for the 2x1 boxes (with the numbers adding to 9 in your tutorial)?