Patterns in Pythagorean Triples With and Without Final Sums

Based on diferente Procedures patterns in Pythagorean triples are studied. These patterns are two types. One when final sum also represent a good pattern. Second, when final sum don’t have good pattern but Pythagorean triple give good patterns. These patterns are given below as examples. Below are the links for download the works:

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

Examples: Patterns with Final Sum

Examples: Patterns without Final Sum

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