Remember, the key is--always subtract 30 from the given number divide by 4 and then remember the dividend (8) and also the remainder. Each square as shown at the left has a value, and it is necessary to memorize these values, study this carefully now.
Top row, left to right--7, 10, ' 13 plus and the remainder
At this point, it is suggested that you draw a 16 square, or use the blank square as shown, and follow step by step, the procedure. As stated above, each square has a value, each as the first (left) square in the top row being 7, etc. These values never change.
Having made your square figures, remember that whatever the DIVIDEND IS--you place that number in the right hand square in the top row. (See chart, as no value is given) . Starting, left to right across the top row of squares, the first square value is 7 and to this we add the DIVIDEND, thus giving 15. Place that in the square. The next value is 10, so add the DIVIDEND (8) total 18. The third square has a value of 13 plus. The same procedure is carried out. Add the value
(13) to the DIVIDEND (8) which gives 21, and the PLUS always stands for the remainder, which is also added, giving a total of 22 (if there is no remainder, nothing is to be added--just disregard the plus, and you will have a 'true magic square, ') in the last square at top, you place the DIVIDEND.
Now take the second Horizontal row, left to right, value is 12 plus, 12 plus dividend (8) plus remainder (1) equals 21; next square, value 1 plus 8 equals 9; third square, value 6 plus 8 equals 14; next square, value 11 plus 8 equals 19.
Now the third horizontal row, left to right, value of first square is 2 plus dividend (8) equals 10; next square, value 15 plus. Add to this the dividend (8) also the REMAINDER (1) total 24; next square value 8 plus 8 equals 16; next square, value 5 plus 8 equals 13.
Now the fourth or last horizontal row, left to right. First square value is 9, so add dividend (8) equals 17; next square, value 4 plus dividend (8) equals 12; next square value 3 plus 8 equals 11 and last square value is 14 plus, so add 8, and the remainder (1) equals 23.
If you have not made an error in the simple additions, it will be found that the four vertical rows, when added, will total 6 3 also the four horizontal rows, the two diagonal rows, the four corner squares, etc. , total 63. Also the groups of four squares will also add in some places throughout the 16 squares as on sketch.
BLANK SQUARE MAGIC SQUARE --63 Given Number
After you memorize the value of each of the 16 squares (you know the value of square #4 in top row to always be the dividend) you are ready to perform the trick, and can place the numbers in the different squares just as the spectators indicate.
The former method was to place the numbers in a certain set of squares, always going thru the same routine. However, letting the spectators indicate the squares and instantly placing the number in same is regarded as a tremendous improvement, and it need not slow down the action of the problem. All that is necessary is to subtract 30 from the given number, divide by 4 and remember the DIVIDEND and the REMAINDER (if any). THE PLUS values occur only four times, which make it it necessary for you to add three numbers to get the proper number for those squares. The other squares, you merely add the known (and memorized) value to the DIVIDEND. Can it be more simple?
An additional example will be presented here thus giving you two problems to study over. The number used this time will be 73.
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