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.
Multi-Set Euler Diagrams
If you’re not limited to constructing Venn diagrams, making Euler diagrams with large numbers of sets is straightforward.
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