19x19 MAGIC SQUARE

                                                                                             The Triabolo

 

This Magic Square is a relationship between 9 and 10, squared

102 - 92 = 19 left of center cell

102 + 92 = 181 center cell

The sum of each row, column, or diagonal is equal to 3,439

The sum total of all the cells in the square is 65, 341

 

This color represents the three cells that contain the triad of numbers that meet the requirements of the right angle triangle theorem, also known as the Pythagorean Theorem.

The triabolo in the 19x19 Magic Square  is composed of the significant numbers of the 9x9 Magic Square.

The significant numbers of the 19x19 Magic Square

number                          significance                                         location

 

9                   the odd component of the square               left of lower right corner cell

10                 the even component of the square             upper right corner cell

19                 size, order of the square                           left of center cell

181               center number between 1 and 192               center cell

190               sum of the numbers 1 - 19                         lower right corner cell

361               the total numbers in the square                   above central cell           

The 19x19 Magic Square In the Luo  Shu format is connected to the 9x9 Magic Square in the Luo Shu format because of the triabolo of numbers located in the lower right quadrant of the above square.  These numbers represent the odd significant numbers of the 9x9 Magic Square.

THE 19X19 MAGIC SQUARE WITH PRIME NUMBERS

 

NOTES OF INTEREST

the number two, the only even prime number, stands by itself as the only prime number in it's row or column