Magic Squares with Perfect Square Number Sums

This short paper shows how to create magic squares in such a way that total sum of their numbers becomes a perfect square. This has been done in two ways: Firstly, Take the sum of odd numbers, and secondly, take the numbers in a sequential way. In the first case, for all orders of magic … Continue reading Magic Squares with Perfect Square Number Sums

Magic Squares

2017 I.J. TANEJA (2017), Magic Squares with Perfect Square Number Sums, Research Report Collection, Vol. 20, Article 11, pp.1-24, http://rgmia.org/papers/v20/v20a11.pdf. I.J. TANEJA (2017), Magic Square Type Extended Row Palprimes of Orders 5x5 and 7x7, Research Report Collection, Vol. 20, Art. 21, pp. 1-69, http://rgmia.org/papers/v20/v20a21.pdf. I.J. TANEJA (2017), Magic Square Type Symmetric and Embedded Palprimes of … Continue reading Magic Squares

Recreation in Numbers

2018 I.J. TANEJA,  Crazy, Selfie, Fibonacci, Triangular, Amicable Types Representations of Numbers, RGMIA Research Report Collection, 21(2018), Art. 3, pp. 1-140, http://rgmia.org/papers/v21/v21a03.pdf. I.J. TANEJA, Natural Numbers in Terms of Fibonacci and S-gonal Values - I, RGMIA Research Report Collection,  21(2018), Art. 6, pp. 1-115, http://rgmia.org/papers/v21/v21a06.pdf. I.J. TANEJA, Natural Numbers in Terms of Fibonacci and S-gonal … Continue reading Recreation in Numbers

Intervally Distributed Magic Squares With Properties

This work brings magic squares contructed based on intervally distributed numbers. It has been done in different form, such as, using pairwise mutually orthogonal Latins quares, self-orthogonal diagonalized Latin squares, block-wise compositions, etc. Work is divided in three parts: first from order 3 to 10, second from 11 to 20 and third from 21 to 25. … Continue reading Intervally Distributed Magic Squares With Properties