publication . Preprint . 2019

Generating Pythagorean Triples, Patterns, and Magic Squares

Inder J. Taneja;
Open Access English
  • Published: 20 Jan 2019
  • Publisher: Zenodo
Abstract
This paper brings simplified and symmetric procedure to generate Pythagorean triples. These triples are obtained in different procedures. First procedure is given in three blocks. The second procedure is the extension of first procedure, but in little different way. These triples are applied to generate perfect square sums magic squares of consecutive odd numbers, and patterned Pythagorean triples. The patterned Pythagorean triples are obtained in two different way. One is a general way, and the second procedure give us Palindromic-Type Pandigital Pythagorean Triples in two different forms. As examples, the magic squares of orders 3 to 20 are given. The sum of entries of magic squares always give a perfect square resulting in a Pythagorean triple.
Subjects
free text keywords: Pythagorean triples, Pandigital patterns, Palindromic-type patterns, Magic Squares
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Open Access
ZENODO
Preprint . 2019
Providers: ZENODO
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