Magic Square - Sixty Symbols 

You also get 34 by adding the four in the middle. You also get 34 by adding the corners. You also get 34 by adding any four numbers that make up a 2x2 square, where one of the numbers is a corner. You also get 34 by adding two adjacent numbers that lie on an edge, and the two numbers opposite to those. It seems if you move your imaginary 2X2 square anywhere from the center, you end up with a sum of 34 every 2 moves. That includes moving it "outide" the board, by reappearing on the other side.

It's not pure coincidence. 137 is also the "33rd" prime number. You see 33 everywhere in ancient text, especially the Bible, Masons etc. Our ancient ancestors were just as intelligent as we are today.

On the bottom row you can see 1514 too, which I believe is the year of the artwork.

This is the most wacky calculation justifying 137 I've ever seen. Eaves is a boss.

Another interesting fact about that magic square: If you sum the cells and divide the sum (136) by one more than its highest number (16+1), you get 8 which is twice the number of either rows or columns. Or I suppose the total number of rows and columns.

The last couple of things he said has actually motivated me to go and do the work I've been putting off doing for uni.

love this series. and, "melancholia I" is my favorite work by albrecht durer. also because of the look on the angel's face. the four corners of the magic squares also add up to 34. and i think that the earliest examples of this "game" were found in china. thanks for another great show.

Magic Squares are fun to do. It's relaxing to focus on them.

No such thing as coincidence’s ... everything happens for a reason

If you take any pair of numbers in the square, and add them to a corresponding pair that is a symetrical to the original pair, they add to 34 For example (5+3) + (14+12) OR (16+9)+(1+8)

Been fascinated by Magic Squares since I was around 11 or 12. Recently wrote an aryicle on Druers 'Me;ancholia' covering the symbolism involved but the main point pf the piece focused on the Magic Square (and how the way in which he etched somr of the numbers seemed deliberately ambiguous - ie. how the number '5' contained within the first square of the second row looks nothing like its supposed counterpart shown within the second square of the fourth row containing the number '15'. This to me is no mistake when I consider the level of detail of the entire piece. Consider too that this is an etching, so there were no mistakes on the final plate. Quite a unique magic square also as I'm sure those with an interest in them will agree. Appreciate the video.

the four corners also add up to 34, as do the 2x2 squares in the corners and the middle.

@pensword5 what you haven't thought about is that there are many more squares in it.

Yes, there is more of these magic squares. They are named after planets. Also in numerology if you add the # 34 you get 7. All the sides equal 7. I think it also has to do with order, pattern and balance. These squares are used in alchemy and magic.

Cool, so many tantalizing hints leading us some where!!

Albrecht Durer is the artist in question. His artwork reveals his ties to the Rosicrucians or the Freemasons. This type of ingenius encoding of mathematical proofs is very typical of someone studying the occult and esoteric. 137 is the 33rd prime number.

I heard (probably I saw this on wikipedia, but it was some time ago and I don't remember), that in the middle of the last row there is 15 and 14, while the painting was made in 1514.

Parker square

No need to add the one from the title. Did you notice the hidden six behind the five? Creepy, eh?

The order four normal magic square Albrecht Dürer immortalized in his 1514 engraving , referred to above, is believed to be the first seen in European art. The square associated with Jupiter appears as a talisman used to drive away melancholy. It is very similar to Yang Hui's square, which was created in China about 250 years before Dürer's time. As with every order 4 normal magic square, the magic sum is 34. But in the Durer square this sum is also found in each of the quadrants, in the center four squares, and in the corner squares (of the 4×4 as well as the four contained 3×3 grids). This sum can also be found in the four outer numbers clockwise from the corners (3+8+14+9) and likewise the four counter-clockwise (the locations of four queens in the two solutions of the 4 queens puzzle), the two sets of four symmetrical numbers (2+8+9+15 and 3+5+12+14), the sum of the middle two entries of the two outer columns and rows (5+9+8+12 and 3+2+15+14), and in four kite or cross shaped quartets (3+5+11+15, 2+10+8+14, 3+9+7+15, and 2+6+12+14). The two numbers in the middle of the bottom row give the date of the engraving: 1514. The numbers 1 and 4 at either side of the date correspond respectively to the letters "A" and "D," which are the initials of the artist.

I love playing with magic squares. One of my favorites is actually not a square at all. It's Ben Franklin's magic circle! Though, he did make some interesting magic squares as well.

Excuse my mistake for calling it a wood block cut, I believe Melancholia was a metallic engraving.

The four corner squares and the four centre squares both add up to 34. The four opposite squares both vertically and horizontally add up to 34. Both sets of symmetrically placed squares (3 5 12 14) and (2 8 9 15) add up to 34. Each corner group of four squares (like 16 3 10 5) adds up to 34.

Hey professor, if you pick any four squares in the magic square that make a square shape you also get 34. This becomes evidently clear when you consider the idea of connecting the edges. So that 5 + 9 + 12 + 8 become a square and then that equals 34 and perhaps your square is the four corners folded around in space to touch then they also = 34 because 16 + 13 + 4 + 1 also = 34.

@Patrickssj6 @Twornpoobar - Those are two very amusing extra facts that make me love this piece of work. o_o

@tehremnantz re: ZPE (zero point energy) "From his data, the newly obtained value of the fine structure constant is 1/128.5 instead of the smaller 1/137 that is traditionally observed for a fully screened electron. The fine structure constant equals the electron charge squared divided by Planck's constant and the speed of light."

if you count the numbers from 1-16, you will find they make an interesting pattern. Think about how this pattern is arranged to give the same #'s for each row and column

The four corners add up to 34 aswell xD

Maybe he did know, this picture supposedly had hidden alchemical references-back when science was secret and encoded in art

I call MAGIC CUBE

There are NO Coincidences! Hence the reason you are and have been fascinated with them! Love and LIGHT Blessings and Namaste 👍🏌️‍♀️🌈🌞🌟💎👏👏👏👏👏👏👏

I once won a science fair in 8th grade with a 3 dimensional magic square. They are fascinating.

While his discovery isn't all that fascinating, the Magic Square certainly is. So many patterns in there...

if you add the numbers individually eg top line 1+6+3+2+1+3 = 16 then add 1+6 = 7. Second line 5+1+0+1+1+8 = 16 ... 1+6 = 7. Third line 9+6+7+1+2 = 25 .. 2+5 = 7. It seems that all individual numbers equal 7. Even the 34 - 3+4 = 7

Not only that, but the upper left, upper right, lower left and lower right 2x2 squares add up to 34, too. 16+3+5+10=34 2+13+11+8=34 9+6+4+15=34 7+12+14+1=34 If you take the upper center numbers and the lower center numbers or the right center numbers and the left center numbers, it adds up to 34, as well. 3+2+15+14=34 5+9+8+12=34

Fantastic!

if you change the positions of: 1 and 16, 4 and 13, 6/11,7/10. You will get a square of all numbers from 1 to16

ooooooh, those! We always got them on our tests in junior high.

Also the numbers 5,9, 8 and 12 are 34 and 3, 2, 15 and 14 are 34. As wel the corners are 34 and the 4 middle numbers.

It’s probably no coincidence, considering the polymath class in those times

There are no such things as coincidence...

Thank you for making those videos!!!!!!!!!!!!

I had to write a program in java for a computer science course that randomly created a matrix and determined if the it was a magic square or not. Good times, good times

The 4x4 square is associated with jupiter

He says 'by german artist', but doesn't even says his name - Albrecht Durer !!! hey, professor Eaves, do some justice to the author! :)

The pattern(s) of odds and evens is/are fascinating.

Wouldn't the original square encompassing the numbers be the +1 Professor Eaves was talking about? His fine structure constant 'coincidence' could mean he's actually on to something.

There is also something written in Arabic that I can't find anyone to translate on Durer's bell above the magic square on the rim of the bell.

and the 4 corner squares sum to 34 too and the center one as well. The last 4 don't but I think it's quite nice anyway.

Each group of four adjoining squares (making a square of four squares) also adds up to 34

Also any four squares in that kind of shape add up to 34. i.e. 13, 2, 11, and 8 (In the top right)

Amazing!

Also notice the even and odd number pattern. Across and vertical.

@wesmatron The guy should have mentioned that, that's amazing.

If you cut the magic square in 4 parts (16+3+5+10); (2+13+11+8); (9+6+4+15); (7+12+14+1) they all add up to 34 as well.

This is a anglicized version of what the Greeks used to call in the Romans used to call the square of life

If you think this is interesting, you should take a look at Ben Franklin's magic circle! Truly mind blowing! Franklin used to make magic squares (and his famous magic circle) just to relax/have fun. By the way, did the professor actually say he checked on Wiki?! Academic sacrilege!!LOL!!!!

Wonder if The Singularity will find a pattern in PI

137 = 11 some thinks 11 the number of higher understanding of the spiritual existence/ order it is used as a sign to not forget what your purpose here is

Not true. Check the center squares in the first two lines. 3+2+10+11=26 It's different for the center squares in the last two lines, the center squares in the first two columns and the center squares in the last two columns. Other than that, it all works very nicely. You can even take the middle squares in the first and last line or you can take the middle squares in the first and last column. Those also add up to 34.

the numbering pattern goes as follows: 1) right to left: 1, 2, 3,4 where the middle of the series is at the top of the square and the ends are on the bottom. 2) left to right:, 5,6,7,8, where the 6 and 7 are shifted down and the 5 & 8 are on the same row. 9, 10, 11, 12 work the same except 10 and 11 are shifted up and 9 and 12 are on the same row. 3) right to left: 13, 14, 15, 16 where 13 and 16 are on the top row and 14 and 15 are on the bottom. There's a reproducible logic here!!!!

@islandbuoy4 sure it is. heres a word you should look at ***coincidence***

In the right down corer you can find 1514 (or something similar)....

Ah, Jupiter. Hello my friend 👋

PART 3 THIS GETS REAL GOOD!!! PAST and PRESENT collide in an big AHA!! So how does 'When I am 64?' collide with the FINE STRUCTURE Constant 137? The ancients using NAKED EYE observations assigned the number 36 to the SUN and 28 to the MOON. Remember those numbers to be used as ratios, based on these simple number relationships i.e. 36 + 28 = 64 OR 37 + 27 = 64 37/27=1.37 x 100 = 137 But the SUN 36 divided by the MOON 28 x 100 = 128.5!!! Is 37 the number of the "collective unconscious"?

I wasn't able to hear what he said that 137 implied. can someone please clarify to a non physicist.

There are a few of these. You guys should to the square of Mercury. :)

wierd the only squares in the picture that dont add to 34 are the top middle and the bottom middle (3,2,10,11) (6,7,15,14)

There are many things that are nothing more than a coincidence. For instance, you can share your birthday with a famous person. Coincidence? Yes.

So do the center 4, middle 2 on both sides, and middle 2 on top and bottom

I really doubt that, the picture in question was created in 1514, that would be a good four hundred years before quantum mechanics. It predates even out understanding of the structure of the atom. So I'm sure it's just purely a happy coincidence.

@lvutodeath No, sudoku is different from magic squares.

He did not point out the most obvious thing: Quote "The two middle cells of the bottom row give the date of the engraving: 1514."

I think the angle on the right is unhappy with his (very) slow computeur. :)

Numberphile with printer paper

do the other planets saturn is 3×3 jupiter 4×4 5×5 mars 6×6 the sun which adds to 666 total 111 on the suns diagonal,horizontal and vertical.What Im curios about is do the squares have any relation to the planets ratio of diameter or distance from the sun or radius or circumference

137 is the 33rd prime number.

Watch the video on the Fine Structure Constant. That's ABOUT 1/137, but phyicists forget the "about" and get delirious about the number 137, or in this case even about a number close to it. It's not something you can't solve with a cold shower.

A few houses next to mine, there is a house with something on it like it. I always wondered why one would put a sudoku that makes no sense on a housewall... Edit: soo, I looked at it again.. and, hehe, every row counts up to 33. Yeah yeah, that number 😅

PART 2 BTW before I proceed MODERN SCIENCE now suggests the FINE STRUCTURE constant ALPHA = 137, was at one time bigger, i.e. 128.5, therefore science today provides a range for alpha 128.5 >> 137 JUST DO A SEARCH OF 'fine structure constant 128.5' ... and start reading. ;)

to start decoding the picture use flower of life

@islandbuoy4 It's amazing what you can do with numbers, you can manipulate, twist, stretch, weave, and do almost anything with them! I have seen your kind of manipulation of numbers to "prove" ideas (ideas that you want to propagate) but please understand that whilst some people will be taken in by this number trickery - others won't.

The difference is that scientists check the sources that are cited on wikipedia :D

this is how I see it . this isn t about number 34 It s about 33 the magic number . the 1 on the drawing means that you must remove 1 34-1=33 . freemasonry

That's a trippy coincidence, I say. Numerology squares and quanta.... weird.

What do you mean? The digital root of 7 is obviously 7, and the digital root of 136 is 1, that of 137 is 2.

its just like a really complicated suduko then

me too i always have doubted it...

en (dot) wikipedia (dot) org/wiki/Wikipedia - Wikipedia is a collaboratively edited, multilingual, free Internet encyclopedia supported by the non-profit Wikimedia Foundation. this means: Wikipedia IS a encyclopedia. Define "source". Encyclopedias are meant to have short defenitions and explanations. Wikipedia as grown so much that some pages have extensive explanations and links to scientific papers and books... en (dot) wikipedia (dot) org/wiki/Tertiary_source

damn.

coincidence? I think not

This professor looks like Carl Sagan.

We drew that picture in class.

Why are you looking for magic squares for melancholia?!!!!!

Is just maths not magic, if they all add up to 42 then its magic.

Magick square. Keep away

There's no such thing as coincidence

I think he means the digital root of 34, which is 7

Looks like you can have some Matrix calculations to go with it.

137 is the 33rd prime This is knowledge associated with 33 degree masons.