Bit of Da Vinci Code moment here as Professor Laurence Eaves fuses his love of mathematical games and a famous piece of art. More videos at www.sixtysymbols.com/
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.
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.
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.
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.
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.
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.
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)
@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
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.
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.
Well yeah balance and equality. Cause and effect. Then circle of infinity. Life after death. They say it's to cease to exist. But that goes against our universal laws you see. Energy must be turned into something else. Nothing disappears. It can get quite complex. From something so simple to understand. The dualitys of life never favor one sided ways. Have faith.
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.
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.
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.
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
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
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.
Science wasn't secret back than - one could even study "white magic" until the early 17th century. (I know: that sounded far-fetched, but I stumbled upon that very matter in context with Giovanni Baptista Portas 'magia naturalis' , Antverp 1560)
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
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!!!!
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.
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.
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!!!!
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.
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.
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 = 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
@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.
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.
woah... awesome stuff...
Maestro
You also get the year it was made in the centre bottom and durers birthday from the two numbers either side of those 👌
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.
Cool, so many tantalizing hints leading us some where!!
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.
On the bottom row you can see 1514 too, which I believe is the year of the artwork.
Magic Squares are fun to do. It's relaxing to focus on them.
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.
Uni?
@@DEATH14269 university... I wonder if he ever graduated
Do it, do it now ( use Arnold Schwarzenegger's voice when reading)
Excuse my mistake for calling it a wood block cut, I believe Melancholia was a metallic engraving.
Thought it was a wood black cut too. Ah well, I'm sure we'll survive.
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.
No such thing as coincidence’s ... everything happens for a reason
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.
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.
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.
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)
OR (4+10)+(7+13)
@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."
Fantastic!
Thank you for making those videos!!!!!!!!!!!!
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
Amazing!
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.
My first time hearing of a 'Franklins Magic Circle; I'll have to look into them.
Have you heard about Magick Cubes?
@@Re-bl5sr never heard of magic cubes before. I'll have to look into them now. Thanks
@wesmatron
The guy should have mentioned that, that's amazing.
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.
Yes here is for instance Jupiter....
Well yeah balance and equality.
Cause and effect.
Then circle of infinity.
Life after death.
They say it's to cease to exist.
But that goes against our universal laws you see.
Energy must be turned into something else.
Nothing disappears.
It can get quite complex.
From something so simple to understand.
The dualitys of life never favor one sided ways.
Have faith.
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
The pattern(s) of odds and evens is/are fascinating.
There are no such things as coincidence...
I call MAGIC CUBE
ooooooh, those! We always got them on our tests in junior high.
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.
The four corners add up to 34 aswell xD
Parker square
Also notice the even and odd number pattern. Across and vertical.
No need to add the one from the title. Did you notice the hidden six behind the five? Creepy, eh?
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.
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.
Incredible
Each group of four adjoining squares (making a square of four squares) also adds up to 34
While his discovery isn't all that fascinating, the Magic Square certainly is. So many patterns in there...
There are NO Coincidences! Hence the reason you are and have been fascinated with them! Love and LIGHT Blessings and Namaste 👍🏌️♀️🌈🌞🌟💎👏👏👏👏👏👏👏
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
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
It’s probably no coincidence, considering the polymath class in those times
Also any four squares in that kind of shape add up to 34. i.e. 13, 2, 11, and 8 (In the top right)
@tehremnantz
5x5 sator magic square is an algorithm that matches up with Ed Witten Twistor String Theory?
Do you have any IDEA what an algorithm is?
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.
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
In the right down corer you can find 1514 (or something similar)....
There are a few of these. You guys should to the square of Mercury. :)
me too i always have doubted it...
The 4x4 square is associated with jupiter
@Iralaeh I don't even remember o.O I'll have to find it.
I once won a science fair in 8th grade with a 3 dimensional magic square. They are fascinating.
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.
Maybe he did know, this picture supposedly had hidden alchemical references-back when science was secret and encoded in art
Science wasn't secret back than - one could even study "white magic" until the early 17th century.
(I know: that sounded far-fetched, but I stumbled upon that very matter in context with Giovanni Baptista Portas 'magia naturalis' , Antverp 1560)
This is a anglicized version of what the Greeks used to call in the Romans used to call the square of life
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)
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."
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
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.
So do the center 4, middle 2 on both sides, and middle 2 on top and bottom
137 is the 33rd prime number.
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!!!!
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.
Ah, Jupiter. Hello my friend 👋
I think the angle on the right is unhappy with his (very) slow computeur. :)
I wasn't able to hear what he said that 137 implied. can someone please clarify to a non physicist.
to start decoding the picture use
flower of life
Wonder if The Singularity will find a pattern in PI
Sweet
He says 'by german artist', but doesn't even says his name - Albrecht Durer !!!
hey, professor Eaves, do some justice to the author! :)
Magick square. Keep away
Do you have magic cubes
damn.
There are many things that are nothing more than a coincidence. For instance, you can share your birthday with a famous person. Coincidence? Yes.
@islandbuoy4 sure it is.
heres a word you should look at
***coincidence***
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.
We drew that picture in class.
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.
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!!!!
so could you tell men what is the print name ??
its just like a really complicated suduko then
What are the symbols on the angels face?
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.
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.
Numberphile with printer paper
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.
What is the use of this squares ?
nice handwriting
Looks like you can have some Matrix calculations to go with it.
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
The difference is that scientists check the sources that are cited on wikipedia :D
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
and the corners add up to 34!
And the four corners add up to 34
I think he means the digital root of 34, which is 7
@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.
What's this piece of art called?
The numbers mason, what do they mean?
That's a trippy coincidence, I say. Numerology squares and quanta.... weird.