Block-Wise and Block-Bordered Magic Squares Generated by Pythagorean Triples: Orders 3 to 47

Pythagorean triples are very famous in the literature of mathematics. Special kind of magic squares can be constructed based Pythagorean triples and vice-versa. Recently, author studied different kind of magics squares including block-wise, block-bordered, block-wise-bordered, etc. In this paper, some special kind of Pythagorean triples are generated, and then based on these Pythagorean triples magic squares of orders 3 to 47 are constructed with consecutive odd numbers entries. The odd order magic squares also lead to consecutive natural number entries with same sum resulting in Pythagorean triples. We know that we can always write block-wise magic squares of any order except for the orders of type p and 2p,  where p is a prime number. In these type of cases, block-bordered magic squares are constructed. These are of orders 10, 11, 13, 14, 17, 19, 22, 23, 26, 29, 31, 34, 37, 38, 41, 43, 46 and 47. In other cases, block-wise magic squares are constructed. These are of orders 8, 9, 12, 15, 16, 18, 20, 21, 24, 25, 27, 28, 30, 32, 33, 35, 36, 39, 40, 42, 44 and 45. In another work, Pythagorean triples are generated based on consecutive odd number entries magic squares starting from 1.