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 7, 97, 997, etc. For details see the link below:

I.J TANEJA –Generating Pythagorean Triples, Palindromic-Type Pandigital Patterns, and Magic Squares, http://doi.org/10.5281/zenodo.2544555

Below are examples of first 9 blocks based on first table (in each case). Out of these 9 blocks, we have only 7 magic square of Orders 9 to 3. 

PG1PG2PG3PG4PG5PG6PG7PG8

Links of previous and atual of work for download

  1. I.J TANEJA –Generating Pythagorean Triples, Palindromic-Type Pandigital Patterns, and Magic Squares, http://doi.org/10.5281/zenodo.2544555
  2. I.J TANEJA – Generating Pythagorean Triples, Patterns, and Magic Squares.

For more work on magic Squares generated by Pythagorean triples – see the link below:

  1. Pythagorean Triples and Perfect Square Sum Magic Squares
  2. Palindromic-Type Pandigital Patterns in Pythagorean Triples – I

Also see the following work on Pythagorean triples:

  1. I.J. Taneja – Multiple-Type Pythagorean Patterns, http://doi.org/10.5281/zenodo.2544527 
  2. I.J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, http://doi.org/10.5281/zenodo.2544519
  3. I.J. Taneja, Palindromic-Type Pandigital Patterns in Pythagorean Triples,  http://doi.org/10.5281/zenodo.2544551

 

 

 

 

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