As the number of sets grows, we need more and more exotic shapes to portray them. One could reasonably argue that beyond four sets of elements, Venn diagrams lose their utility. The four-ellipse ...

It may look like a flower, but this is actually a new Venn diagram-- one that for the first ... when trying to represent a non-prime number of sets above four. Khalegh Mamakani and Frank Ruskey ...

Image: Wikimedia Commons) Things get prettier as the number of sets increases: Grünbaum and Edwards independently discovered this symmetrical Venn diagram for seven sets, the next prime number.

A Venn diagram shows the relationship between a group ... For example, if you were to write down the number of children in your class who have brown hair in one circle, and the number of children ...

which are easier to understand and are proven to exist only for Venn diagrams with a prime number of sets. For purity’s sake, these diagrams must also be “simple”, meaning no more than two ...

You may well be familiar with Venn diagrams – the ubiquitous pictures of typically two or three intersecting circles, illustrating the relationships between two or three collections of things.