How many polyhedra are there?

I'm curious, could you elaborate on the question, 'How many polyhedra are there?' It seems like a vast and potentially infinite inquiry, given the countless variations and combinations of faces and vertices that could make up a polyhedron. Are you referring to a specific category or type of polyhedron? Or perhaps you're asking about the fundamental principles that govern their existence and classification? Clarifying your question would help me provide a more precise and informative answer.