The variant of magic square in Javanese tradition

Mamat, M. and Prabowo, A. and Hasriati, . and Sukono, . and Bon, A.T. (2021) The variant of magic square in Javanese tradition. In: 11th Annual International Conference on Industrial Engineering and Operations Management, 07-11 Mac 2021, Virtual, Online.

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Abstract

Normal magic square is a square composed of consecutive natural numbers starting at 1 and each number appears exactly once, and the number of elements in each row, column, and diagonal is the same. Examples of normal magic squares are Lo-Shu, Agrippa, Duhrer and Khajuraho magic squares. In Javanese tradition, a magic square is also found. The existence of this magic square is found in a book that collects Javanese knowledge, called primbon. The elements contained in the magic square in the primbon are written in Arabic numerals and Arabic characters (Hijaiyah). The numerical value of the magic square can be determined because each Arabic character is assigned a specific numeric value. This research was conducted with a literature study. The objectives of this research are describe some of the magic squares by order 4 that found in the primbon (book of Javanese knowledge) used by the Javanese who inhabit the Java Island in Indonesia, and produces some theorems about magic square that found in primbon. In my research, we obtain a variation of the magic square in the Javanese tradition. From this variation we come up with several lemmas, theorems and conjectures.

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