Abstract
The magic square is a branch of mathematical recreation using combination theory. It provides entertainment and interesting research for generating mathematical knowledge. Magic square also has been used in Karnaugh map and contributes in geometrical analysis and in number theory. There are many patterns of magic squares such as 3 x 3, 4 x 4, 5 x 5 and higher. This research focuses on magic square of order four. This research investigates the operations and properties of magic square of order four such as complement, rotation and reflection. The method that has been used in solving the magic square of order four is Devedec's method. This method focuses on double-even order. The magic square of order four has solutions obtained by considering the possible numbers for every diagonal, column and row in magic square. In this research, the solutions for magic square of order four are generated using Matlab software instead ofby manual calculation. Moreover, a graphical user interface of magic square of order four has been developed using Matlab in order to generate the error-free solutions of magic square. The solutions generated are error-free as the numbers used are within the limit corresponding to the order and without repetitions of digits.
Metadata
Item Type: | Student Project |
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Creators: | Creators Email / ID Num. Mohd Zaid, Muhammad Kasyful Baqi 2014803332 Mohd Rosle, Muhammad Amir Amjad 2014678738 |
Contributors: | Contribution Name Email / ID Num. Advisor Selvarajoo, Mathuri UNSPECIFIED |
Subjects: | Q Science > QA Mathematics > Study and teaching Q Science > QA Mathematics > Sequences (Mathematics) Q Science > QA Mathematics > Analysis |
Divisions: | Universiti Teknologi MARA, Kelantan > Machang Campus > Faculty of Computer and Mathematical Sciences |
Programme: | Mathematics Project (MAT660) |
Keywords: | magic square, mathematical recreation, geometrical analysis, study |
Date: | 2016 |
URI: | https://ir.uitm.edu.my/id/eprint/109425 |
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