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

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

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

Generating Pythagorean Triples, Palindromic-Type Pandigital Patterns, and Magic Squares

This work brings how we can generate Pythagoren triples and Magic square using some interesting tables. These Pythagorean triples again generate Palindromic-Type Pandigital Patterns and Magic Squares. The first table generates 9 blocks, the second table generates 99 blocks, the third table generates 999 blocks, and so on. In case of magic square these are … Continue reading Generating Pythagorean Triples, Palindromic-Type Pandigital Patterns, and Magic Squares

Block-Wise Construction of Magic and Bimagic Squares of Orders 39 to 45

This paper brings block-wise construction of magic squares of order 39 to 45. In order to construct these magic squares we applied the previous known magic squares of orders 3 to 14, except order 12. The order 22 is also used. In each case these are written again. Specially, in case of magic square of … Continue reading Block-Wise Construction of Magic and Bimagic Squares of Orders 39 to 45

Different Digits Magic Squares and Magic Sums Number Patterns

Magic squares are generally constructed using sequential or concutive numbers such as 1, 2,..., n^2. Here in this work, we shall write magic squares using non consecutive different digits numbers. This work,  we have done for the magic squares of orders 5, 7, 8, 9 and 10. As commonly, the entries are not in a … Continue reading Different Digits Magic Squares and Magic Sums Number Patterns

Block-Wise Construction of Magic and Bimagic Squares of Orders 25 to 36

This paper summarizes some of the results done by author in previous works on different ways are writing block-wise magic squares. The details can be seen in the links given below. The work is for the magic squares of orders 12 to 36, i.e., for the orders 12, 15, 16, 18, 20, 21, 24, 25, … Continue reading Block-Wise Construction of Magic and Bimagic Squares of Orders 25 to 36

Block-Wise Construction of Magic and Bimagic Squares of Orders 12 to 24

This paper summarizes some of the results done by author in previous works on different ways are writing block-wise magic squares. The details can be seen in the links given below. The work is for the magic squares of orders 12 to 36, i.e., for the orders 12, 15, 16, 18, 20, 21, 24, 25, … Continue reading Block-Wise Construction of Magic and Bimagic Squares of Orders 12 to 24