[Python] How can I show overlapping circles that depict quantities based on size using Python?

I am trying to find a way in VS code to create overlapping circles, much like an Euler diagram, that show different quantities of things. Different items would overlap or not depending on what they are, for example, dogs, cats, and animals. Dogs and cats would each have their separate circles with the titles 'dogs' and 'cats,' while being included in a larger circle titled 'animals' (this example would not have overlap). I would like to have some circles overlap if there are sets that contain some of the same elements, with overlap corresponding to the amount of shared items among the sets.

I have tried using matplotlib venn diagrams but ideally I would like more than 3 circles as matplotlib maxes out at 3 circles. Another issue with matplotlib is that I have not found a way to title the circles depending on what their items contain - rather, the titles are numbers of the items in their sets. I have also briefly looked into eulerr (R language) in VS code, but I don't know much R and would prefer to stick to Python.

The picture I have added shows an ideal representation of the visualizations I'd like to have appear. This is a simplified version, however, and some of the more complex examples of statements I would like to show include:

• 
  ['All x are y', 'All non-x are y','Some z are non-y','Some y are non-x'],'All non-z are y'
  
  • An example like this would ideally produce overlapping circles (and some not overlapping) to correspond with which letters are members of which others.
• 
  ['All poodles are dogs', 'All dogs are animals'],'All animals are poodles'
  
  • Something like this does not make sense, so a counterexample would be produced (a counterexample is a separate task from the overlapping circles I want and does not apply to this specific query. I would likely use pandas to create some sort of dataframe.).

Continue reading...