The Pythagoras theorem is very famous in the literature of mathematics. The aim of this work is to extend in a symmetrical way the some Pythagorean triples resulting in patterns. These symmetric extensions are in such a way that we reach to good patterns. In some cases, the final sums also give a good pattern. In some cases examples are with interesting pandigital palindromic-type patterns. The patterns are obtained based on five procedures for single variable functions, and four for double variable functions. This work is a combination of authors previous two works.