Multiple-Type Pythagorean Triples Patterns

Pythagorean patterns are well-known in the literature of mathematics. This work brings  patterns obtained by mutiplications with natural numbers to known patterns. It is done in two parts. One without final sum. Second with final sum. In some cases after multiplications, initial lines don’t obey the pattern, but the rest part remains patterned. See below some examples. Also below is link to download the work.

I.J. Taneja – Multiple-Type Pythagorean Patterns, http://doi.org/10.5281/zenodo.2544527 

Examples:

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