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.

Abstract

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.

Download publication 233 kbytes (PDF)

Bibtex Record

@inproceedings{2354,
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 = {http://www.cs.kent.ac.uk/pubs/2005/2354},
    publication_type = {inproceedings},
    submission_id = {23790_1139909880},
    booktitle = {Euler Diagrams Workshop 2005},
}

School of Computing, University of Kent, Canterbury, Kent, CT2 7NF

Enquiries: +44 (0)1227 824180 or contact us.

Last Updated: 21/03/2014