The school he founded, the Pythagorean School, is a mysterious organization with a strict code of conduct. For example, they are all vegetarians, and they have some special requirements, such as fasting beans.
The emblem of the Pythagorean school is a pentagram, which is formed by drawing five diagonal lines on a regular pentagon on the surface of a regular dodecahedron. As shown below, we can also draw five diagonal lines on the regular pentagonal FGHIJ, and a smaller pentagonal star will appear.
the motto of Pythagoras school is "everything is counted". They think that everything has length, width, height, volume, mass, density and so on, which are all measured by numbers, and "number" is the origin of everything. They think that the most intelligent thing is "number", and they worship some special numbers, such as 1 and 6. In their view, the most beautiful harmony also comes from some magical numbers, such as golden numbers. But all the numbers they knew at that time were rational numbers, which could be written as the ratio of integers.
When I was in high school, I heard a math teacher tell a short story about a Pythagorean student who discovered the root number 2. How can this number be represented on a ruler? What is equal to? They thought it was a devil's number and finally threw the student into the sea and drowned. How was the root number 2 discovered? This should start with Pythagoras theorem.
Pythagorean theorem, which we now call Pythagorean theorem, in fact, the existing literature is not sure whether this theorem was first proved by Pythagoras. Let's make a square with a unit length. What is the diagonal of the square? According to Pythagoras theorem, we get that this diagonal is the root number 2. Pythagoras stuck to the old ideas this day and missed this new discovery.
that's enough about Pythagoras.