Difference between revisions of "Category:Venn diagrams"
(More on Venn diagrams and Euler diagrams related to the release of 1810.) |
(ref to 2 and 3 circles and rearranging order of info) |
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These are not to be confused with {{w|Euler diagram}}s, as they are only a subset of Euler diagrams. | These are not to be confused with {{w|Euler diagram}}s, as they are only a subset of Euler diagrams. | ||
| − | For Venn diagrams every possible intersections there could be must be shown. | + | 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. | |
| − | + | 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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| + | 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]] | ||
Revision as of 19:58, 14 March 2017
Comics with Venn diagrams.
These are not to be confused with Euler diagrams, as they are only a subset of Euler diagrams.
For Venn diagrams every possible intersections there could be must be shown. In general for an n component Venn diagram there must be all 2n 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 22 = 4 zones; one overlap zone, two zones without overlap and one outside zone. For 3 circles, see 112: Baring My Heart, there must be 23 = 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 224 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.
Pages in category "Venn diagrams"
The following 14 pages are in this category, out of 14 total.
