Constructing Area-Proportional Venn and Euler Diagrams with Three Circles

Chow, Stirling, Rodgers, Peter (2005) Constructing Area-Proportional Venn and Euler Diagrams with Three Circles. In: Euler Diagrams 2005, 29-30 September 2005, Paris, France. (KAR id:14285)

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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.

Item Type:	Conference or workshop item (Paper)
Uncontrolled keywords:	Venn Diagrams, Euler Diagrams
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing
Depositing User:	Peter Rodgers
Date Deposited:	24 Nov 2008 18:03 UTC
Last Modified:	16 Nov 2021 09:52 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/14285 (The current URI for this page, for reference purposes)
Rodgers, Peter:	https://orcid.org/0000-0002-4100-3596

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