I understand that the fundamental well accepted definition of polytheism is usually
The worship of two or more god deities
But from studying about philosophy of god (concepts of god) and psychology and history of religion I understand that there might be a more sophisticated definition, involving a pattern of how polytheism is done → most often by worshiping two or more gods with a human or human-animal hybrid form, personality and biography;
Practically it would likely be done by creating statues of this deity and also behaving as follows:
- Bowing before deity statues
- Burning incense near deity statues
- Burning the bodies of dead (or in some very sad cases, alive organisms) near deity statues
- Bringing food or gifts (including money) to priests near deity statues
- Putting offerings near (or on) the statues until these decay and get cleared.
- Celebrating calendaric holidays often including special prayers and offerings
The worshiped gods usually deemed eternal (unless killed), large in body size, and such that require the care of humans worshiping them at their "houses" (temples) on earth; also, they are often ancestors or totems of an ancestor.
My problem
From all my learning about this subject it is unclear to me if philosophers have isolated a most common pattern of polytheism which would be shared between most polytheistic religions.
My question
Is there an hypothesis about global features of polytheism and if so, what is it?