Symmetric Properties of Nested Magic Squares

The idea of nested magic squares is well known in the literature, generally known by bordered magic squares. In this work, nested magic squares are studied for the consecutive natural numbers for the orders 5 to 25. Properties like, sub-magic squares sums, total entries sums, borders entries sums, etc. are studies. Final results lead us to symmetric properties. … Continue reading Symmetric Properties of Nested Magic Squares

Publications: Magic Squares

Magic Squares Inder J. Taneja, Block-Wise Equal Sums Pandiagonal Magic Squares of Order 4k, Zenodo, January 31, 2019, pp. 1-17, http://doi.org/10.5281/zenodo.2554288 Inder J. Taneja, Magic Rectangles in Construction of Block-Wise Pandiagonal Magic Squares, Zenodo, January 31, 2019, pp. 1-49, http://doi.org/10.5281/zenodo.2554520 Inder J. Taneja, Magic Crosses: Repeated and Non Repeated Entries, Zenodo, February 1, 2019, pp. … Continue reading Publications: Magic Squares

Nested Magic Squares With Perfect Square Sums, Pythagorean Triples, and Borders Differences

The idea of nested magic squares is well known in the literature, generally known by bordered magic squares. Instead, considering entries as consecutive numbers, we considered consecutive odd numbers entries. This gives us perfect square sum magic squares. We worked with magic squares of orders 3 to 25. Finally, the result can be written in … Continue reading Nested Magic Squares With Perfect Square Sums, Pythagorean Triples, and Borders Differences

Pythagorean Triples Generating Pandigital Palindromic-Type Patterns and Magic Squares

This work is na extension of author's previous work . In this work, examples of magic Squares are extended to order 20. Also the another group of Pandigital Palindromic-Type Pythagorean Patterns are obtained. Study to general patterns is also extended. Below are few examples of this extended work: Links of previous and atual of work for download … Continue reading Pythagorean Triples Generating Pandigital Palindromic-Type Patterns and Magic Squares