Together with icosahedron (20 faces) they are known as the Platonic Solids.
A regular shape. ( square -regular rectange-, regular pentagon, regular hexagon, equilateral triangle etc. etc.)
It is not possible to name each polygon since there are infinitely many of them. There is no relationship between whether a polygon is regular and the number of sides or angles that it has. So, there is no way to determine, from its name, if a polygon is regular.
A square
There are many regular polygons like the square, pentagon, hexagon, and octagon
The Name Platonic solid Comes from Plato the second main reseacher of the five solids. Pythagoras was the one discovered the platonic solids
The Platonic solids were name after the Greek philosopher Plato, who theorized that the classical elements were constructed from the regular solids.
Glasses are solids. They're, specifically, amorphous solids. What makes them different from regular solids is that they're not regular, they're amorphous. Which is right there in the name.
There are no regular solids with an odd number of sides and therefore no regular solids with 5 faces. For this reason there is no give name, as such, for a 5 faced solid. There are however non-regular solids which have 5 faces, such as a square pyramid and a triangle cylinder.
He was simply known as Pythagoras of Samos.
Pythagoras of Samos
His only name in historical record is Pythagoras, he is sometimes called Pythagoras of Samos
Pythagoras.
Pythagoras
The name for the followers of Pythagoras was the Pythagoreans.
Pythagoras's mother's name was Pythais.
His full name was simply "Pythagoras."