Pythagoras was born on the island of Samos, a Greek island near present-day Turkey, around 580 BC, and moved to Miletus, where he studied mathematics under Thales.
He also traveled to Egypt and Babylon, where he also learned mathematics and finally settled in Creton, northern Italy, and there he founded a school whose members later became known as the Pythagoreans.
And the results they obtained were considered a secret to them, so it was not known exactly who discovered the Pythagorean theorem and that whoever discovered the square root of the two that it is not relative was it Pythagoras or a member of the school?
In addition to mathematics, Pythagoras taught his students to sanctify numbers, and to believe in the transmigration of souls, and never to eat beans.
And that they neglect to mention their names when they present any of their discoveries, but sign them in the name of the Pythagorean brothers.
Among the most important achievements of the Pythagorean brothers is proving that the sum of the angles of a triangle is 180, as well as proving the Pythagorean theorem because the theory existed before the Pythagoreans, so perhaps they were the first to prove it geometrically, and they were interested in searching for answers to the following questions:
1- Is it possible to divide any two straight lines such that the divided pieces are equal?
2- Is it possible to fill a given shape with iterations of another shape like it?
3- Can any body be filled with iterations of a given solid?
And while searching for answers to these questions, the Pythagoreans discovered the regular polygon of twelve faces in which the faces form a regular pentagon.
Likewise, a regular polygon with twenty faces, in which each face is an equilateral triangle.