Abstract:
In Babylon, numbers were conceived as potential powers which became dynamic on contacting opposites: there arose auspicious energy. The integration of numbers had further to possess a tangible form for it to function as charm or taviz or magic square. There are two methods of forming a magic square: one Is to transform an ordinary square into its corresponding magic square; the other is albegrical, which starts with the minimum data, just what Is implied in the term magic square of certain number. Both these methods are used to form the magic square of nine, for higher the numbers of opposites, greater is the power generated. According to the arithmetical method, the ordinary square of nine is fractionated. The two diagonal series Right and Left are transferred as such to magic square. The numbers in horizontal rows are fractionated into 3 parts each, the central portions of these fractions form parallels of the Left Diagonal of magic square and the series remain unchanged, the two side fractions are transferred as discontinuous series, also as parallel to Left diagonal. Here odd numbers form continuous series and even numbers discontinuous, or as two parts of one series. Thus is formed the magic square of 9. Its final test is symmetry of the design. The algebrical method accepts 9 = N. to it 1 is added and 10 is divided by 2 where 5 gives the item with which right diagonal series begins. Next (N) is added while 5 is kept recurring, (N) is allowed to increase. Thus result Right Diagonal series. Its central item (4N + 5) becomes also as such of Left Diagonal. Here (4N) is kept recurring. While upwards numbers decrease by 1, the item with 5 at the centre increases downwards. Thus the Left diagonal is formed based on Right Diagonal. The two diagonal series give rise to items as side chains here again there are continuous series as two parts of series, with intermediates missing. All these facts are duly illustrated by figures, above all one showing how some items form a symmetrical design. This is the final result when there are opposites and they are well balanced.
Page(s):
161-174
DOI:
DOI not available
Published:
Journal: Proceedings of Pakistan Academy of Sciences, Volume: 27, Issue: 2, Year: 1990