Difference between revisions of "Category:Venn diagrams"

Explain xkcd: It's 'cause you're dumb.
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Comics with {{w|Venn diagram}}s.  
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Comics with {{w|Venn diagram}}s. Be not confused with {{w|Euler diagram}}s, Venn diagrams are much more restricted.
  
These are not to be confused with {{w|Euler diagram}}s, as they are only a subset of Euler diagrams.  
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In a Venn diagram every possible intersection must be shown. In general for an n component Venn diagram there are 2<sup>n</sup> hypothetically possible zones, corresponding to some combination of inclusion or exclusion in each of the component sets. A Venn diagram with 2 circles, see [[668: Pandora]], has 2<sup>2</sup> = 4 zones; one overlap zone, two zones without overlap and one outside zone.
  
For Venn diagrams every possible intersections there could be must be shown. In general for an n component Venn diagram there must be all 2<sup>n</sup> hypothetically possible zones, corresponding to some combination of inclusion or exclusion in each of the component sets. An Euler diagram only needs to show the zones that have common objects.
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[[2122: Size Venn Diagram]] is the first comic to include five components, previously only Venn diagrams with two or three circles have been used in xkcd.
 
 
A Venn diagram with 2 circles, see [[668: Pandora]], has 2<sup>2</sup> = 4 zones; one overlap zone, two zones without overlap and one outside zone. For 3 circles, see [[112: Baring My Heart]], there must be 2<sup>3</sup> = 8 zones; one zone with all three circles overlapping, three zones with two circles overlapping, three zones without overlap and one outside zone.
 
 
 
So far only Venn diagram with two or three circles have been used in xkcd. With just one more circle there would already need to be 16 zones, only five of which would not be inside more than one circle.
 
 
 
For an example of an xkcd Euler diagram see for instance the Euler diagram in [[1810: Chat Systems]] with 24 circle. This would have resulted in 2<sup>24</sup> zone (a bit less than 16,8 million zones) should it have been drawn as a Venn diagram, with almost all of the zones being empty.
 
  
 
[[Category:Charts]]
 
[[Category:Charts]]
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[[Category:Euler diagrams]]

Revision as of 09:31, 18 January 2020

Comics with Venn diagrams. Be not confused with Euler diagrams, Venn diagrams are much more restricted.

In a Venn diagram every possible intersection must be shown. In general for an n component Venn diagram there are 2n hypothetically possible zones, corresponding to some combination of inclusion or exclusion in each of the component sets. A Venn diagram with 2 circles, see 668: Pandora, has 22 = 4 zones; one overlap zone, two zones without overlap and one outside zone.

2122: Size Venn Diagram is the first comic to include five components, previously only Venn diagrams with two or three circles have been used in xkcd.