That isn’t taking into the next level of complications that I’ve seen in polycules; relationships of more than 2 persons within the group.

3 persons:
AB, AC, BC, ABC.

4 Persons:
AB, AC, AD, BC, BD, CD, ABC, ABD, ACD, BCD, ABCD

5 Persons:
AB, AC, AD, AE, BC, BD, BE, CD, CE, DE, ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, CDE, ABCD. ABCE, ABDE, BCDE, ABCDE, I’m probably missing some.

Then there is the next level after that, relationships between groups within the group:

How does (AB) and (CD) interact?
What about (ABC) and (CD) vs (AB) and (CDE)?

Honestly, it seems like far too much effort/stress.