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David McCandless of "Information is Beautiful" recently posted an image of the 7-set Venn diagram construction.

What rules generate Venn diagrams for an arbitrary number of sets $k$?

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    Did you check the references in the [Wikipedia page](https://en.wikipedia.org/wiki/Venn_diagram)? The first link has a section called [A General Construction for Symmetric Venn Diagrams](http://www.combinatorics.org/files/Surveys/ds5/VennSymmEJC.html#construction).2012-07-15
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    Related questions: [Why can a venn diagram for 4+ sets not be constructed using circles?](http://math.stackexchange.com/questions/1475/why-can-a-venn-diagram-for-4-sets-not-be-constructed-using-circles) and [Is this 2d five-fold Venn Diagram original and valid?](http://math.stackexchange.com/questions/7919/is-this-2d-five-fold-venn-diagram-original-and-valid)2012-07-15

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