Four-Set Venn Diagram Game

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This Demonstration shows a four-set Venn diagram. To be a Venn diagram, the graphics must be divided into 16 non-overlapping regions. All but one of the regions must be simply connected. A game consists of making a Venn diagram and dragging numbers to the right region. To play a game, press "reset". You can time yourself with the "start time" trigger.

Contributed by: Izidor Hafner (July 2019)
Open content licensed under CC BY-NC-SA


Four-set diagram with ellipses was found by Venn [4, p. 43].


[1] F. Ruskey and M. Weston, "A Survey of Venn Diagrams," The Electronic Journal of Combinatorics, DS#5, 2005.

[2] B. Grünbaum, "The Search for Symmetric Venn Diagrams," Geombinatorics, 8(4), 1999 pp. 104–109. (Jun 7, 2019)

[3] Wikipedia. "Branko Grünbaum." (Jun 7, 2019)

[4] M. Gardner, Logic Machines, Diagrams and Boolean Algebra, New York: Dover Publications, 1968.


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