This work brings traditional magic squares of orders 3 to 10 in terms of single digit. In this case, the magic squares are written separately for each digit, i.e., for the digits 1 to 9. This has been done for all the orders 3 to 10. In case of orders 8 and 9 there are … Continue reading Creative Magic Squares: Singele Digit Representations

# Month: July 2021

# Creative Magic Squares: Single Letter Representations

This work brings magic squares of orders 3 to 10 in terms of single letter "a", where a can take any value from 1 to 9. The magic squares of orders 8 and 9 are written in two ways, i.e, one as normal magic squares and another as bimagicÂ squares. In case of order 10, we … Continue reading Creative Magic Squares: Single Letter Representations

# Magic Squares With Perfect Square Sum of Entries: Orders 3 to 31

This work shows how to create magic squares with a perfect square number for the total sum entries. This has been done in five ways. Initially, the two ways are using entries as consecutive odd numbers and consecutive natural numbers for odd order magic squares and consecutive fraction numbers for even order magic squares. This … Continue reading Magic Squares With Perfect Square Sum of Entries: Orders 3 to 31

# Minimum Perfect Square Sum Bordered and Block-Wise Bordered Magic Squares: Orders 3 to 47

There are many ways of writing magic or bordered magic squares, where the sum of entries is always a perfect square. In one of the possibility, the magic sums are such that they satisfy uniformity property. Another way is to write magic squares generated by Pythagorean triples. Based on these idea, we can always write … Continue reading Minimum Perfect Square Sum Bordered and Block-Wise Bordered Magic Squares: Orders 3 to 47