Difference between revisions of "Category:Venn diagrams"

Explain xkcd: It's 'cause you're dumb.
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(Collapsing explanation so people wishing to see only the list of comics with Venn diagrams can see that and those interested in Venn/Euler explanation can click to get that)
(This originates to my investigations. More compact and no euler explanation.)
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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.
 
**'''Click''' to expand for a more detailed explanation:
 
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==Explanation==
 
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.
 
  
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.  
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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.
  
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.
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So far only Venn diagrams with two or three circles have been used in xkcd.
 
 
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.
 
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[[Category:Charts]]
 
[[Category:Charts]]

Revision as of 21:59, 14 March 2017

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.

So far only Venn diagrams with two or three circles have been used in xkcd.