here is something I recently remembered from my Uni days when we used to play maths games
you may notice all the rows, columns, diagonals add up to 34
anybody know the origin?
Green to the first
here is something I recently remembered from my Uni days when we used to play maths games
you may notice all the rows, columns, diagonals add up to 34
anybody know the origin?
Green to the first
Chinese literature dating from as early as 650 BC tells the legend of Lo Shu or "scroll of the river Lo". In ancient China there was a huge flood. The great king Yu tried to channel the water out to sea where then emerged from the water a turtle with a curious figure/pattern on its shell; circular dots of numbers which were arranged in a three by three grid pattern such that the sum of the numbers in each row, column and diagonal was the same.
Johnny Ball think of a number.
nobody correct yet
it has a fascinating history, but no turtles involved (that was a 3x3)
The first magic squares of order 5 and 6 appear in an encyclopedia from Baghdad circa 983 AD, the Rasa'il Ikhwan al-Safa (the Encyclopedia of the Brethren of Purity);
The order-4 magic square in Albrecht Dürer's engraving Melencolia I is believed to be the first seen in European art. It is very similar to Yang Hui's square, which was created in China about 250 years before Dürer's time. The sum 34 can be found in the rows, columns, diagonals, each of the quadrants, the center four squares, and the corner squares(of the 4x4 as well as the four contained 3x3 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 [18]), 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).
India in the Parshvanath Jain temple
That particular magic square:
Albrecht Dürer, 1514 ....The Melancholie Engraving....
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^^ Sorry Thetym already posted.....
well done, a prize coming when possibleOriginally Posted by Thetyim
I had that engraving and deciphered the magic square into its constituents
quite fun
it is on the wall to the right of his head
sad bastard he looks, which may have accounted for the name, Melancholia
Dürer's magic square is a magic square with magic constant 34 used in an engraving entitled Melancholia I by Albrecht Dürer (The British Museum, Burton 1989, Gellert et al. 1989). The engraving shows a disorganized jumble of scientific equipment lying unused while an intellectual sits absorbed in thought. Dürer's magic square is located in the upper right-hand corner of the engraving. The numbers 15 and 14 appear in the middle of the bottom row, indicating the date of the engraving, 1514.
Dürer's magic square has the additional property that the sums in any of the four quadrants, as well as the sum of the middle four numbers, are all 34 (Hunter and Madachy 1975, p. 24). It is thus a gnomon magic square. In addition, any pair of numbers symmetrically placed about the center of the square sums to 17, a property making the square even more magical.
I have reported your post
Is this that game Suduko that lots of kids play?
No, there are similarities
Suduko works with the total number 9, and single numerals
The objective is to fill a 9×9 grid with digits so that each column, each row, and each of the nine 3×3 sub-grids that compose the grid (also called "boxes", "blocks", "regions", or "sub-squares") contains all of the digits from 1 to 9.
I like Sudoko, play it a lot
Magic squares are more compilcated
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