The 3D one works somewhat well if the spheres are translucent and animated.
https://en.wikipedia.org/wiki/Venn_diagram#Extensions_to_hig...
https://chatgpt.com/share/690f675d-c340-8013-b598-41fe487b4e...
It has the nice properties that you can do any number of sets (in theory) and all the boundary intersections are either osculating or perpendicular.
Anyone knows what could cause this?
In popular terminology they are very often confused with Euler Diagrams [0] which represent meaningful relations in sets but not all possible. You shouldn't create Euler Diagrams this complex, but the raison d'etre of Venn diagrams is to visualize the complex nature of set relations.
https://bombmanual.com/web/index.html#ComplicatedWires
However you could make a good argument that having a complicated and confusing diagram is the point of that puzzle.
The possible resulting combinations also seem to have remained in the code, going from tame concepts like "illustration" and "games", down to gems like "folksonomy", "hypernarrative", "facebook" (??)