# How are Carroll diagrams constructed for n \> 2 ?

**URL:** <https://boards.straightdope.com/t/how-are-carroll-diagrams-constructed-for-n-2/458548>\
**Category:** Factual Questions\
**Created:** [August 1, 2008, 10:47pm UTC](https://boards.straightdope.com/t/how-are-carroll-diagrams-constructed-for-n-2/458548 "2008-08-01T22:47:52Z")\
**Posts on this page:** 1\
**Page:** 1

<div class="post-metadata">

**Author:** ![ragerdude](https://avatars.discourse-cdn.com/v4/letter/r/d07c76/32.png) [@ragerdude](https://boards.straightdope.com/u/ragerdude)\
**Post date:** [August 1, 2008, 10:47pm UTC](https://boards.straightdope.com/t/how-are-carroll-diagrams-constructed-for-n-2/458548/1 "2008-08-01T22:47:52Z")

</div>

A Carroll diagram can graphically organize a set into binary subdivisions. For two variables, the chart is clear. (Here is an example: [Carroll diagram - Wikipedia](http://en.wikipedia.org/wiki/Carroll_diagram))

For higher variables, I’m not sure how it plays out – if the regions representing each variable are _connected_.

From [EMS Press](http://eom.springer.de/k/k110040.htm), fourth paragraph:

> [@](#):
>
> " . . . This unfortunate practice unnecessarily limits the use of the Venn diagram to 4 variables only. Both the Carroll diagram and the Karnaugh map are rectilinear figures that offer good visual aid by keeping subdivisions of any general class within one boundary. In fact, they are exactly the same for n = 2. **Carroll diagrams can handle up to 10 variables** , but they seem to have not been much explored."

So what do Carroll diagrams look like?