COUNTING FIFTEEN BY FIFTEEN ‘MAGIC’ SQUARES By the time I reach here, the title Magic seems a bit superfluous; they are now just regular squares with fascinating properties. I contacted David Brée to say I had found a most perfect 15 x15, but he noted that I had misinterpreted his definition! So here is my
COUNTING NINE BY NINE ‘MAGIC’ SQUARES Here is a really perfect square. I have decided to call these exceptionally perfect squares (EP)! Not only do all rows and columns sum to 369, but so do all diagonals and all blocks of three by three! E.g 48+15+58+79+44+9+68+28+20 = 369. See the template illustrated next below to
COUNTING SEVEN BY SEVEN ‘MAGIC’ SQUARES Here is a really perfect square. I have decided to call these exceptionally perfect squares (EP)! Not only do all rows and columns sum to 175, but so do all diagonals and all blocks of seven in a playing card pattern! E.g 16+7+40+25+10+43+34 = 175. See the template illustrated
GENERATING AND COUNTING REGULAR PERFECT NUMBER SQUARES (An extension to the Siam system) A number square is an array of numbers in which the rows columns and diagonals all add up to the same total. Here are three examples (and there is a small selection of other types of square in the last section):- In