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

Selfie Palindromic Magic Squares

This work deals with Selfie palindromic magic squares. By Selfie magic squares, it is understood that the magic squares are upside down, mirror looking and having the same magic sums. Results are obtained for the orders  3x3, 4x4, 5x5, 8x8 and 9x9. In case of 8x8, the results are semi-bimagic and for 9x9 the results … Continue reading Selfie Palindromic Magic Squares

Crazy Representations of Natural Numbers, Selfie Numbers, Fibonacci Sequence, and Selfie Fractions

This summary brings author's work on numbers. The study is made in different ways. Specially, towards, Crazy Representations of Natural Numbers, Running Expressions, Selfie Numbers, etc. Natural numbers are represented in different situations, such as, writing in terms of 1 to 9 or reverse, flexible power of same digits as bases, single digit, single letter, … Continue reading Crazy Representations of Natural Numbers, Selfie Numbers, Fibonacci Sequence, and Selfie Fractions