论文信息 - Aesthetic Aspects of Venn Diagrams

Aesthetic Aspects of Venn Diagrams

Venn diagrams are familiar to anyone who has taken high school algebra. The standard twoand threecircle Venn diagrams have a pleasing look. This stems partly from their symmetries. As customarily drawn, each has a horizontal mirror symmetry. The two-circle diagram also has a second, vertical mirror symmetry. In addition to these, each diagram also has rotational symmetry: The two-circle diagram is invariant under rotation by 180 degrees around a point inside the lens-shaped intersection of the circles, while the three-circle diagram is invariant under rotation by 120 degrees around a point inside its tripleintersection region.

B. Cipra | P. Hamburger | E. Hepp

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