How to make a Birthday Magic Square
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- เผยแพร่เมื่อ 14 มิ.ย. 2024
- A birthday magic square is a special type of magic square that uses someone's birth date in the top row. Then every row, column, and main diagonal add up to the special birthday number - and a whole lot of other magic properties as well!
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Notes:
Some people have realised it isn't always possible to make a birthday magic square that avoid negative values or repeats.
In fact, if your total is less than 34, then you will either have repeats or negative values.
Since a total less than 34 is unavoidable for some birth dates, I advise you don't worry about it.
But if you embrace negative values, I think you can always avoid (additional) repeats.
Tip for watchers: If you follow James's instructions but then mess up in the middle, you can create a custom Birthday Parker Square!
Now I want to know what Matt Parker's Magic Birthday Parker Square looks like
James is always right!
lol!
@@namewarvergeben😊
& how does that work everytime? 😂
I don't know whether to bless you or curse you. I am a math teacher (six to nine graders) and after I had watched your video one of my pupils had her birthday, so I drew her square for her. Cue today, where another one has a birthday and immediately ask for her square. It seems that I am doomed to draw a square for each of my pupils in the class from now on, but at least they are excited about something relating to math.
Haha! This is great!
Oh, this is so cool! Thank you for sharing the secret. This gives me about a month to practice before my sister's birthday, then I can firmly cement my standing as the nerd of the family.
This might be challenging for people who were born on 01-01-2001. I would have loved to hear how you'd make your Euler square in those cases, because in that situation you'd basically have to go negative in some of the squares
Unless you can also use A-1, B-2, C-3, and D-4 as the top row, instead of needing positive constants added up? In the video you only mention adding a positive constant, but adding a negative constant might work I guess? Regardless, that would have been nice to include in the video
@@joeytje50 As long as you change the +1, +2, ... by the same offset, then every sum will simply be larger by 4x the offset (smaller for negative offsets), that's all.
@@joeytje50
As long as you use each offset number exactly once per row it doesn’t matter what the numbers are. The top row can be A-7, B+93, C-13 and D-41 if you wish, although I suspect you might want to choose easier numbers.
@@joeytje50 Yeah, with so many 1s I think you can't avoid going negative. All letters combine with all numbers.
Let's say A = B = C. And let's say you use natural numbers x, y and z respectively in the first row.
You will have all combinations {A-x, A-y, A-z, B-x, B-y, B-z, C-x, C-y, C-z}
It's not important which one is bigger, so lets assume x > y > z.
For any L in {A,B,C}, if L-x = 1, then L-z < L-y < L-x = 1
Even if L-y=0, L-z < 0
@@ragnkja Wait, so that means the offsets aren't actually necessary at all - they can just be (0, 0, 0, 0) if you want.
What a treat for a Sunday afternoon - I can see my other tasks are going to remain undone as I play around with magic squares!
Lol! I frequently do the same! 🤣🤣🤣
even looking at this from the viewpoint of degrees of freedom... this is so neat, I love this !
Thanks for this. And especially for highlighting the various other magic sets of 4 cells. (So often, people show magic squares without going that extra distance to work in extra magic.)
That trick you showed at the end for avoiding duplicates is useful, too.
First square with repeats: What is this a Matt Parker video?
From 6:10 on: Oh, there we go
My favorite Mathematician 😍
So happy to see something on your channel!
The real magic is just You!
I've got a family member who's going to find this beyond exciting.
I'd forgotten about this so it is a great reminder to get one created now.
To help people who are stuck: before you do any adding, you need to subtract the numbers in the top row by the numbers shown in the formula square for each box in that row.
So for the example provided in this video, that would go like this:
15 - 1 = 14
4 - 2 = 2
17 - 3 = 14
7 - 4 = 3
Now that you’ve done that, the next step is to go ahead and follow the remainder of the formula, inserting the results from the subtraction instead of the actual numbers in the top row. And that should do it!
Ty so much mine didn't work at all until this
Well well well, my birthday is tomorrow... What nice timing!
Watching this on my Birthday.
the singing banana has returned! let the rejoicing begin!
There are many ways it results into 43... love that!!
hey good to see you back!
Glad to see your video after such long time.
Woooh!!! Thanks Doctor Grimes!!!
Thank you for the video!
enjoy all your videos. More please
Cool trick, thank you so much)
today it's my birthday :D thank you for your present!
I knew there had to be a way to do that. Thank you.
@5:29. for the top row before you plug in and start adding
A + 1 = 15. Solve for A and. A = 14
B + 2 = 04. Solve for B and. B = 02
C + 3 = 17. Solve for C and. C = 14
D + 4 = 07. Solve for D and. D = 03
Now you can start plug in ABCD and adding N. in the bottom rows
thank you
Thank you! I was a bit lost
@@forisrex np. I was lost my self
So you’re subtracting instead of adding? Cause that B line looks suspiciously like 4 - 2; NOT 4 + 2.
Great one. My thoughts first go to how this could be worked into a Brushwood style performance.
Thanks!
Ha! Brian would love it!
Super cool! I'm gonna make a magic calender which generates a new square every day.
what a great video - this is what would make math interesting in classrooms !
Nice work James
Nice! Fun twist on a this idea
Excellent explication
WOW! After leaning from Ramanujan's magic square, this Euler's method is very logical and easy to understand! Thanks!👍
Oh great! I did a follow-up video where I mention the Ramanujan square.
AMAZING !!...
Well, Eulers Square seems to work better than that Parker Square one. :P
I played around a bit and I found a funny one for me :)
1, 9, 19, 99
9, 109, 29, -19
129, 11, -21, 9
-11, -1, 101, 39
A good gift to give on their magic birthday
That's awesome
You're back! Been wondering if there would be new video with all maths events happening these few months.
Would love to try it, looks a bit tricky for people with special date. Maybe substitute the additional numbers with primes would help it.
P.S. : my sister's birthday is coming up soon, this might be a good idea for personalized, nerdy birthday card!
Very nice
just in time for me to create a birthday magic square today, on my birthday. very cool
Happy Birthday, hope you have a great day
Happy birthday! May you live as long as you want to, and want to as long as you live.
happy birthday!!🎉
It's magic!
I constructed one for another of my favorite TH-camr's birthday. I might send it to him on his birthday.
22 12 19 80
28 71 07 27
57 20 35 21
26 30 72 05
My numbers have a greater range (2, -13, 1, 10) just to make patterns harder to see.
Great video, as always.
Matt parker
He has the same birthday as ramanujan just realized
Wow!
Nice video
The version with the repeated entries is a bit of a Parker square, innit?
Very cool!! Now I want to make a birthday magic square generator in python haha.
If I recall correctly, someone actually did this on _Penn & Teller: Fool Us_ as part of a trick. (They didn't fool them.)
What about the 01.01.2000? Do you just fill in negative numbers?
Edit: Should have finished the video first, lol
You can just replace the D+4 (meaning D would be -4) with D-4, meaning D is 4 and all other numbers you fill in will be positive
Excellent video. Are there magic squares of any size? 3 X 3 or 5 X 5?
This method doesn’t work for 2x2 or 6x6, but any other size should work.
Wait, a magic square? You should show this to Matt Parker! #ParkerSquare
Somehow I have a feeling that if Matt tries it, it will be impossible for some reason.
Matt Parker's date of birth is the only combination that doesn't work 🤪
Neat
Absolutely thank you. I'm stuck in bed today, and needed a project!
Hey prof , appearently i have a solution to zeno's last step paradox , how can i send it to you?
Something about the way you presented this made me think of Stan from the Secret of Monkey Island
I had to do quite a bit of trial and error fixing trying to follow your method in the beginning. The choice of 15 and 17, and 04 and 07 made it particularly difficult to get it right. Having been born in the later part of 20th century, I was occasionally perhaps 60 short. Once I was 70 too much, sometimes just 5. I gave up trying to figure out which ones were in relation to which when everything else was fine but the diagonals, corners, center and split diagonals were all 5 short.
The one problem with this I see is keeping tabs in your head about letters and numbers unless you learn the algorithm by heart. Like if you're trying to first figure out where A's are and then where the numbers are, you'll have forgotten it before you get to writing the actual numbers. And if you solve the letter+number combinations, the one who you're trying to surprise sees your method and it won't be as exciting.
interesting how a lot of people start drawing an "8" at the top. I always begin in the center of the 8 and start drawing to the bottom left
I both start and end top-middle, but start lifting my pen half-way between midde and top-right.
I was originally taught to draw it starting at the top, but switched to starting in the middle and going to the top left first as an adult (after seeing it recommended somewhere and trying it, whereupon I found I preferred doing that).
Are negative numbers allowed in magic squares? If somebody was born in 2000, D+4 has to be zero. So D+1, D+2 and D+3 would all be negative. Is there a way to avoid negative numbers?
If you change the order of 1, 2, 3, 4 then the year 2000 can be C+4 and D+1. Then the 00 will increase and the 20 will decrease. You are going to get stuck in some extreme cases, such as 01-01-2000. In that case, you'll just have to use negative numbers, that's fine.
If your day of month is the same number as the month you are basically screwed. Yes, you can build the "sudoku" but it's not magic as there are same numbers :/ But fortunately those people save a lot of time filling US/EU forms as you basically never know the order they want the date (mm/dd/yyyy, dd.mm.yyyy, yyyy-mm-dd).
Sir I made formula for 6×6 magic square. Pls tell how can I send you.
I'd say it's much easier with 0, -1, -2 and -3.
unless you are born on 31-12-1999 then the original is better.
Use whatever numbers you like.
I call shenanigans. If this is true, then according to the Pythagorean Theorem, 15 plus 4 would equal 17.
Does anyone know Matt Parker's birthdate?
up next:
how to make magic square from CSC number :)
People born on 01/01/1000: *cries*
minimised the standard deviation of the numbers on top of making them all different :)
15 03 19 96
28 87 06 12
69 10 30 24
21 33 78 01
Love it.
just bad if your birthday already have repeated numbers xd
Yup. Sometimes repeats really are unavoidable!
Mathematics and mathematicians are way cool. Only mathematicians can have fun with numbers such as this ... and sometimes get paid for doing such things!
15-04-17(07)
Just one day before my birthday o/
I dind't get it. If c =17 how can c+4 = 18?
Are you sure it wasn't c+3=17 ?
My birthday number is 133 :-)
But, my birthday has repeating numbers in it. ;(
Is today your birthday by chance? Today is my birthday.....
Euler probably prefered burger king over mcdonalds
:)
mine looks like: (with repeats)
16 03 20 07
21 06 17 02
05 18 05 18
04 19 04 19
magic constant = 46
(without repeats)
16 03 20 07
21 06 15 04
08 23 02 13
01 14 09 22
magic constant = 46
But, there is no 18'th month ...
So it looks to me like if you want to do this on the fly in front of people, without any repeated values, then instead of filling in all of the squares by letters, fill them in by number first. This way you can double check as you do it to make sure that you're not repeating any values. As a starting point, make sure that none of the 4 numbers you are adding are the same as the differences between any of the two numbers in the top row. If you like, you can even use negative numbers.
The only problem with doing birthdays though, is that some people will have repeated numbers in their birthday, like March 03, for example. To avoid this, maybe just ask someone to give you four different numbers.
90% of mathematical methods are called euler's method
This is true.
Underrated comment
It's ramujan formula like similarly 😂😂
1st Jan 2000 is a bit awkward.
It's a bit of a Parker Square isn't it? 😂 With too many repeated numbers unfortunately.
That’s addressed in the video.
Watch until the end of the video 🙌
Would have been happier if you'd used ISO date format. It is the only correct way. Enjoyed the video regardless, however, as always.
It should work just as well in that format 🙂
You must be fun at parties.
I'm not taking any lessons on how to format dates so long as there are people who put the month first and the day next to the year.
@@rosiefay7283
While there are contexts when the ISO format is very much preferable (such as when labelling files or folders), I’m happy as long as the month is in the middle.
@@rosiefay7283 People who order the magnitudes backwards are even worse. But that's what ISO 8601 exists to fix.
Rather ugly with repeated numbers. You could also copy row one 3 times, offset by 1 column every time.
He does address the repetition later in the video
If only you had watched the video to the end before making this comment
Then the diagonal doesn't follow the same rule.
#simple notebook
import numpy as np
MSqr = np.array(4)
raw_input=input("PLEASE ENTER YOUR BIRTHDAY INFO ie 15 04 17 07 AS DD MO CENT YR, SEPARATED BY SPACES::")
# here we use space, but anything can be the separator
input_list = raw_input.split(" ")
# dtype is needed here, else you get strings
arr = np.array(input_list, dtype=int)
MSqr = ([arr[0] ,arr[1] ,arr[2] , arr[3]],
[arr[2] + 1 ,arr[3] - 1, arr[0] + 1, arr[1] - 1],
[arr[3] - 2, arr[2] -2, arr[1] + 2, arr[0] + 2],
[arr[1] + 1, arr[0] + 3, arr[3] -3, arr[2] - 1])
#print("
Square matrix
", MSqr)
print(MSqr[0]) # row 1
print(MSqr[1]) # row 2
print(MSqr[2])
print(MSqr[3])
print("
")
print("1st cell of matrix",MSqr[0][0]) # 1st cell of matrix
print("last cell of matrix",MSqr[3][3]) # last cell of matrix
print(" partial check")
print("Diagonal = ",MSqr[0][0] + MSqr[1][1] + MSqr[2][2] + MSqr[3][3])
print("1st column = ", MSqr[0][0] + MSqr[0][1] + MSqr[0][2] + MSqr[0][3])
print("last column = ", MSqr[3][0] + MSqr[3][1] + MSqr[3][2] + MSqr[3][3])
print("4 corners")
MSqr[0][0] + MSqr[0][3] + MSqr[3][0] + MSqr[3][3]
It seems to work but, somebody please make it pretty..... Thanks