Pythagorean Triples Generating Pandigital Palindromic-Type Patterns and Magic Squares

This work is na extension of author's previous work . In this work, examples of magic Squares are extended to order 20. Also the another group of Pandigital Palindromic-Type Pythagorean Patterns are obtained. Study to general patterns is also extended. Below are few examples of this extended work: Links of previous and atual of work for download …

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 …

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 …

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 …

Pythagorean Triples and Perfect Square Sum Magic Squares

This work brings the idea how we can achieve prefect square sum magic squares using primitive and non primitive Pythagorean triples . By perfect square sum magic square, we understand that the total sum of entries of a magic square is a perfect square. The work is divided in two parts, one on primitive triples and another on non primitive …