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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
It is a regular 6 sided hexagon