The Perfect Venn Diagram

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
A Venn diagram is commonly used to depict the relationship among sets. It is difficult, however, to draw freehand a Venn diagram that accurately captures a relationship between the cardinality of the sets and their area of overlap. This Demonstration produces the "perfect" Venn diagram for two sets and
where you set the cardinality ratio between the two sets and the area of overlap between them. You can choose whether to compute the area of overlap relative to
or to
.
Contributed by: Seth J. Chandler (March 2011)
Additional contributions by: Eric W. Weisstein
Open content licensed under CC BY-NC-SA
Snapshots
Details
Snapshot 1: two disjoint sets
Snapshot 2: is a subset of
Snapshot 3: handling a situation where the desired overlap is impossibly large
Permanent Citation