The Perfect Venn Diagram

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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



Snapshot 1: two disjoint sets

Snapshot 2: is a subset of

Snapshot 3: handling a situation where the desired overlap is impossibly large

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