This work brings, magic squares of order 3 to 32 just with two digits in such a way that the magic squares are upside-down independent of magic sums. This is done only with two digits 6 and 9. The works for the digits 1 and 8, and 2 and 5 are given separately. In case of 2 and 5, the … Continue reading Upside-Down Magic and Bimagic Squares of Orders 3 to 32 Using 6 and 9

# Category: Magic Squares

# Universal Magic and Bimagic Squares of Orders 3 to 32 Using 2 and 5

This work brings, magic squares of order 3 to 32 just with two digits in such a way that the magic squares are upside-down and mirror looking independent of magic sums. These types of magic squares we call as universal magic squares. This is done only with two digits 2 and 5. In this case the numbers 2 and 5 are written in digital form. … Continue reading Universal Magic and Bimagic Squares of Orders 3 to 32 Using 2 and 5

# Universal Magic and Bimagic Squares of Orders 3 to 32 Using 1 and 8

This work brings, magic squares of order 3 to 32 just with two digits in such a way that the magic squares are upside-down and mirror looking independent of magic sums. These types of magic squares we call as universal magic squares. This is done only with two digits 1 and 8. The work for … Continue reading Universal Magic and Bimagic Squares of Orders 3 to 32 Using 1 and 8

# Universal Palindromic Day (02.02.2020) and Two Digits Magic Squares

Today, the February 02, 2020 is the universal palindromic day. It can be written as 02.02.2020 or 2020.02.02 Some idea on this day can be seen in Alex Bollos column in "The Guardian": Alex Bellows, https://www.theguardian.com/science/2020/jan/27/can-you-solve-it-toot-toot-for-world-palindrome-day., January 27, 2020 The palimdromic magic square appeared in the above column: Still there are two more days in … Continue reading Universal Palindromic Day (02.02.2020) and Two Digits Magic Squares

# Bordered Magic Squares With Order Square Magic Sums

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 in such a way that the magic sums are equal to the order of the magic square. The study include integer values. In some cases decimal entries with positive … Continue reading Bordered Magic Squares With Order Square Magic Sums

# Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2020

The idea of bordered magic squares is well known in the literature. In this work, bordered magic squares are constructed in such a way that the final magic sum of each bordered magic square is 2020. The work is for the orders 3 to 25. In each case, a symmetric result is found for the … Continue reading Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2020

# Heart: Mathematics Lovers – Magic Squares of Order 4 of Equal Sums

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193. Inder J. Taneja, Representations of Letters and Numbers With Equal Sums Magic Squares of Orders 4 and 6, Zenodo, February 1, 2019, pp. 1-82, http://doi.org/10.5281/zenodo.2555287.

# 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