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Venn Diagrams

A Venn diagram, popularized by John Venn in the 1880s, represents the logical relation between a finite number of sets. Here we show one way of drawing Venn diagrams, extending to higher numbers of sets up to \(n = 7\). We design our diagrams not to make any region too small, which tends to happen in Edwards–Venn diagrams.

How are Venn diagrams related to graphs? Here are some considerations.

  • What does the planar dual of a Venn diagram tell?
  • If each set represents a vertex, where can you find edges? How about cliques?

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