The school he founded, Pythagoras School, is a mysterious organization with strict code of conduct. For example, they are all vegetarians, and they have some special requirements, such as fasting beans.
The emblem of Pythagoras School is a five-pointed star, which is made 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 the Pythagorean school is "Everything counts". They believe that everything has its 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 especially worship some special numbers such as10,6. In their view, the most beautiful harmony also comes from some magical numbers, such as the golden number. But all the numbers they knew at that time were rational numbers, which could be written as the ratio of integers.
In high school, I heard a short story from my math teacher. It is said that a student of Pythagoras school discovered the root number 2. How is this number displayed on the ruler? Equal to what? They thought it was a devil's number and finally threw the students into the sea and drowned. How was the root number 2 discovered? This should start with Pythagoras theorem.
Pythagoras theorem, which we now call Pythagoras theorem, in the existing literature, it is actually not certain whether Pythagoras first proved this theorem. 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 line is the root number 2. Pythagoras insisted on the old idea this day and missed this new discovery.
Pythagoras, that's it