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: I.J. Taneja … Continue reading Patterns in Pythagorean Triples With and Without Final Sums

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 … Continue reading Multiple-Type Pythagorean Triples Patterns

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 … Continue reading Generating Pythagorean Triples, Palindromic-Type Pandigital Patterns, and Magic Squares