Difference between revisions of "Category:Venn diagrams"

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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)
(Unconstrained but not differently limited.)
 
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*Comics with {{w|Venn diagram}}s.  
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*These are comics that relate to {{w|Venn diagram}}s.
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**These are not to be confused with {{w|Euler diagram}}s, as they are only a subset of Euler diagrams.  
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**They should not be confused with [[:Category:Euler diagrams|Euler diagrams]] although some of the comic that mention Venn diagrams actually shows Euler diagrams instead.
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**'''Click''' to expand for a more detailed explanation:
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**If Venn diagrams are mentioned, even though it is an Euler diagram, not a Venn diagram, then they will still be included here.
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<div class="mw-collapsible mw-collapsed leftAlign" style="width:100%">
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*[[Randall]] seems to have made mistakes, or maybe done this on purpose as indicated with the comic [[2721: Euler Diagrams]].
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<br>
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**Apart from that comic where he mentions that he wishes to call all Euler diagrams for Venn diagrams he has also made the "mistake" two time before:
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==Explanation==
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***[[1180: Virus Venn Diagram]]
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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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***[[2090: Feathered Dinosaur Venn Diagram]]
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***All three are now included in both categories, as Venn diagrams are mentioned even though they are not drawn!
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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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**A Venn diagram shows all possible combinations of two or more sets, including those with no elements, and therefore all of the circles must intersect.
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**An Euler diagram need only depict the non-empty combinations, and therefore does not have this constraint.
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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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***All Venn diagrams are also Euler diagrams, but not the other way around!
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***Thus this category is a sub category of Euler diagrams.
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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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***Only the three mistake comics should be included directly in both categories.
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</div>
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*In a Venn diagram every possible intersection must be shown.  
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<br>
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**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.  
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**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.
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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. It thus has 2<sup>5</sup> = 32 zones.
  
 
[[Category:Charts]]
 
[[Category:Charts]]
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[[Category:Euler diagrams]]

Latest revision as of 13:01, 9 January 2023

  • These are comics that relate to Venn diagrams.
    • They should not be confused with Euler diagrams although some of the comic that mention Venn diagrams actually shows Euler diagrams instead.
    • If Venn diagrams are mentioned, even though it is an Euler diagram, not a Venn diagram, then they will still be included here.
  • Randall seems to have made mistakes, or maybe done this on purpose as indicated with the comic 2721: Euler Diagrams.
    • Apart from that comic where he mentions that he wishes to call all Euler diagrams for Venn diagrams he has also made the "mistake" two time before:
    • A Venn diagram shows all possible combinations of two or more sets, including those with no elements, and therefore all of the circles must intersect.
    • An Euler diagram need only depict the non-empty combinations, and therefore does not have this constraint.
      • All Venn diagrams are also Euler diagrams, but not the other way around!
      • Thus this category is a sub category of Euler diagrams.
      • Only the three mistake comics should be included directly in both categories.
  • 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. It thus has 25 = 32 zones.
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