School of Computing

Constructing area-proportional venn and euler diagrams with three circles

Stirling Chow and Peter Rodgers

In Euler Diagrams Workshop 2005, pages 182-196, August 2005.


A 3-Venn diagram is used to represent all possible combinations of three characteristics and is most commonly drawn with three overlapping congruent circles. In this paper, we investigate the conditions under which area-proportional circular 3-Venn diagrams exist, and for those untenable cases, we present an optimization strategy for approximating a solution. In the conclusion, we describe how these results can be extended to the case of 3-Euler diagrams.

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Bibtex Record

author = {Stirling Chow and Peter Rodgers},
title = {Constructing Area-Proportional Venn and Euler Diagrams with Three Circles},
month = {August},
year = {2005},
pages = {182-196},
keywords = {determinacy analysis, Craig interpolants},
note = {},
doi = {},
url = {},
    publication_type = {inproceedings},
    submission_id = {23790_1139909880},
    booktitle = {Euler Diagrams Workshop 2005},

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