Euler and Venn diagrams come in a few different flavors. To help you get started creating your own diagrams, we’ve assembled this collection of time-saving templates.
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The most basic Venn diagrams feature two overlapping sets:
If your two sets don’t overlap, then what you’ve got is a two-set Euler diagram:
If one set completely encompasses the other, it’s both a Venn diagram and a Euler diagram:
A three-set Venn diagram — in which all sets have some overlap with each other — starts to get more complicated. You end up with seven distinct sections, including the center, which covers the union of all three sets:
A three-set Euler diagram might include a non-overlapping set:
And three-set Euler diagrams might also have one nested set:
This isn’t a Venn diagram because two of the sets have no overlap (Bluish Things & Dark Red Things).
When you ramp up to four sets — and you want to make a Venn diagram — circles no longer cut it. You’ll need to either use ovals to ensure all sets overlap or overlay a three-set Venn with a curve. These are the only practical two-dimensional ways to depict four sets that show the union of all sets in all combinations.
Any four-set diagram that uses circles will be a Euler diagram since circles won't show the union between every pair of sets.
Five-set Venn diagrams also require the use of ovals or you'll need to overlay a three-set Venn with a recursive curve. Either way, you're pushing the boundaries of what can be clearly depicted in two dimensions.
If you’re not limited to constructing Venn diagrams, making Euler diagrams with large numbers of sets is straightforward.
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