### Abstract

Area-proportional Venn diagrams are a popular way of visualizing the relationships between data sets, where the set intersections have a speciﬁed numerical value. In these diagrams, the areas of the regions are in proportion to the given values. Venn-3, the Venn diagram consisting of three intersecting curves, has been used in many applications, including marketing, ecology and medicine. Whilst circles are widely used to draw such diagrams, most area speciﬁcations cannot be drawn in this way and, so, should only be used where an approximate solution is acceptable. However, placing diﬀerent restrictions on the shape of curves may result in usable diagrams that have an exact solution, that is, where the areas of the regions are exactly in proportion to the represented data. In this paper, we explore the use of convex shapes for drawing exact area proportional Venn-3 diagrams....

Original language | English |
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Title of host publication | 6th International Conference on the Theory and Application of Diagrams |

Place of Publication | Berlin, Germany |

Publisher | Springer |

Pages | 54-68 |

Number of pages | 15 |

Publication status | Published - 9 Aug 2010 |

Event | 6th International Conference on the Theory and Application of Diagrams - Portland, Oregon, USA, 9-11 August, 2010 Duration: 9 Aug 2010 → … |

### Publication series

Name | Lecture Notes in Computer Science |
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### Conference

Conference | 6th International Conference on the Theory and Application of Diagrams |
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Period | 9/08/10 → … |

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## Cite this

Rodgers, P., Flower, J., Stapleton, G., & Howse, J. (2010). Drawing area-proportional Venn-3 diagrams with convex polygons. In

*6th International Conference on the Theory and Application of Diagrams*(pp. 54-68). (Lecture Notes in Computer Science). Springer. http://www.sciweavers.org/publications/drawing-area-proportional-venn-3-diagrams-convex-polygons