Difference between revisions of "Category:Venn diagrams"

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(More on Venn diagrams and Euler diagrams related to the release of 1810.)
(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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**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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These are not to be confused with {{w|Euler diagram}}s, as they are only a subset of Euler diagrams.  
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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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*[[Randall]] seems to have made mistakes, or maybe done this on purpose as indicated with the comic [[2721: Euler Diagrams]].
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For Venn diagrams every possible intersections there could be must be shown. So for 2 circles there has to be one overlap zone, for 3 circles there must be four zones, one zone with all three circles overlapping and three zones with two circles overlapping.
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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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***[[1180: Virus Venn Diagram]]
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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.
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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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An Euler diagram only needs to show the zones that have common objects, see for instance the Euler diagram in [[1810: Chat Systems]] with 24 circle. This would have resulted in 2<sup>24</sup> (about 16,8 million) zones should it have been drawn as a Venn diagram, with almost all of them being empty.
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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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***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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***Only the three mistake comics should be included directly in both categories.
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*In a Venn diagram every possible intersection must be shown.  
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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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