It is commonly called a hierarchy.
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The solid commonly called a dodecahedron is not a solid pyramid but the name simply means a solid shape with 12 faces and so, a pyramid on a 11-sided polygonal base will be a dodecahedron.
the Greeks had a food that looked like a pyramid and was called something similar to it.
a pyramid
A four sided pyramid is called a square based pyramid. It has a square base and four sides,(called edges,) that join at the apex. (the top of the pyramid.)
They're not always. But anytime something is not a pyramid shape, it's not called a pyramid,it's called something else. So everything that's left ... all the things that are a pyramid shape ...is called a pyramid.