I did a bit more work on those nested Venn Diagrams, including research that turned up an alternative to Venn Diagrams produced by Lewis Carroll, known naturally enough as Lewis Carroll Diagrams.
![Carroll234.png](http://farm5.static.flickr.com/4013/4386457395_f726f8e519_o.png)
You may recognize the two-set version as the same structure used in the more recent "Boston Box".
![BostonBox.png](http://farm5.static.flickr.com/4060/4386457341_a3d5a9aab4_o.png)
It transpires that Carroll used nesting of his diagrams as far back as 1896.
Here is his diagram for eight sets.
![Carroll8.png](http://farm3.static.flickr.com/2702/4387219876_de6239a6fe_o.png)
All this and more is described, with including the relationship to the Nested Venn Diagram I described in the
previous post, in a paper
entitled "Nested Venn Diagrams" from Stochastic Solutions.