"The Magic Square"
this is a large original painting on canvas of 36 " x 36".
This is a perfect size for large empty walls in residential or commercial spaces.
Gallery wrap; the painting wraps the edges.
It is wired, ready to hang on the wall.
The painting comes with a certificate of authenticity.
Free Shipping in USA.
The painting is shipped in a safe crate with tracking number and insurance.
Shipping outside the United States is the buyer's responsibility, please contact me to check together what the customs fees in your country are, the shipping price and insurance, thank you.
NOTE: * Colors may vary from monitor to monitor.
Copyright ©2018patrick bornemann. All rights reserved.
Albrecht Dürer's magic square
The order-4 magic square in Albrecht Durer’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 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 to, in English, the letters 'A' and 'D' which are the initials of the artist.
16 3 2 13
5 10 11 8
9 6 7 12
4 15 14 1
Dürer's magic square can also be extended to a magic cube.