This is an incomplete Venn diagram. You're missing combinations of 2 that are opposite of each other. See this for a proper Venn diagram of size 4: https://www.mydraw.com/NIMG.axd?i=Templates/VennDiagram/Four-ellipseVennDiagram.png
Sort of irrelevant, but this isn't how an optimal 4-way venn diagram looks like. In this format, you don't see overlaps of the two corners (Stoners + Movie Directors, Bank Robbers + D&D Players), they only overlap when at least one other element is present. In a 4-way venn diagram, the elements are elliptical and not circular. Like this!
I don't know if it's supposed to be allegorical, but this strikes me as messy and like it's actually obfuscating the way the different relationships relate. There's fairly standard ways to compose 4-way Venn diagrams.
It's also pretty easy to reason about verbally: every time you add a new person to relationship, you add a copy of all the connections that includes that person, so the complexity doubles from this perspective.
Is this a joke? If so, you got me. I read the link and there’s a lot of explanation for why it’s not possible, but it’s not hard at all to make diagram with 4 overlapping circles. Here’s just one.
A venn diagram with 5 sets is possible and when properly arranged, can give you all the possibilities but it's not easy to parse visually and doesn't lend itself to lists of items.
How to render this all depends on what you want the viewer to be able to discern readily from the display.
If your use case is that you want to make sure the user can clearly see if a given item is in more than one category, you could arrange the data in a matrix like so:
Category 1 | Category 2 | Category 3 | Category 4 | Category 5 | |
---|---|---|---|---|---|
Item A | x | x | |||
Item B | x | x | |||
Item C | x | x | |||
Item D | x | x |
Though this can make for a long matrix (is the set union of all unique items across all your lists)
Here is an image of a 4 circle Venn. Let
A= mind
B= matter
C= life
D= spirit
Overlap AB = arcane
Overlap BC = primal
Overlap CD = divine
Overlap AD = occult
The center, which gives you additional flexibility are the triple overlap regions and the single quadruple overlap region. Thematically one could almost view this as a prism, with the source of all magic being the center quadruple overlap ABCD, and it fracturing into the various essences and traditions. One would likely try to establish a link between this and say the history of Golarion.
Start with this picture of a standard 3 set Venn diagram with the intersections labelled - https://www.mydraw.com/NIMG.axd?i=Templates/VennDiagram/Three-circleVennDiagram.png
Fill in the numbers. Then you can subtract the overlapping sections to work out what is left in the non-overlapped sections. Remember to take account of any multiple overlapping sections where numbers may have been counted twice.
a venn diagram has every possible intersection on its own, this doesn't have libleft and authright intersecting on their own, or that for libright and authleft, as such it isn't a venn diagram,this is what a four set venn diagram looks like