Four-Set Venn Diagram Game

​
ellipse axes
1.548
3.52
rotation
α
0.4
displacement
-1
2
reset
maximal time
1000
start time
time: 0
congratulations!
■
■
■
■
1
2
3
4
1
2
3
4
12
13
14
23
24
34
123
124
134
234
1234
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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.

Details

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

References

[1] F. Ruskey and M. Weston, "A Survey of Venn Diagrams," The Electronic Journal of Combinatorics, DS#5, 2005. www.combinatorics.org/files/Surveys/ds5/VennEJC.html.
[2] B. Grünbaum, "The Search for Symmetric Venn Diagrams," Geombinatorics, 8(4), 1999 pp. 104–109. (Jun 7, 2019) sites.math.washington.edu/~grunbaum/SymmetricVennDiagrams.pdf.
[3] Wikipedia. "Branko Grünbaum." (Jun 7, 2019) en.wikipedia.org/wiki/Branko_Gr%C3%BCnbaum.
[4] M. Gardner, Logic Machines, Diagrams and Boolean Algebra, New York: Dover Publications, 1968.

External Links

Simply Connected (Wolfram MathWorld)
Venn Diagram (Wolfram MathWorld)
Interactive Venn Diagrams
Lewis Carroll's Diagram and Categorical Syllogisms
The Ontological Table
Euler Circles for Categorical Syllogisms
Grünbaum's Venn Diagram

Permanent Citation

Izidor Hafner
​
​"Four-Set Venn Diagram Game"​
​http://demonstrations.wolfram.com/FourSetVennDiagramGame/​
​Wolfram Demonstrations Project​
​Published: July 17, 2019