Category:Venn Diagrams
This category contains results about Venn Diagrams.
Definitions specific to this category can be found in Definitions/Venn Diagrams.
A Venn diagram is a technique for the graphic depiction of the interrelationship between a small number (usually $3$ or fewer) of sets.
The following diagram illustrates the various operations between three sets.
The circles represent the sets $S_1$, $S_2$ and $S_3$.
The white surrounding box represents the universal set $\mathbb U$.
Each of the areas inside the various circle represents an intersection between the various sets and their complements, as follows:
- The gray area represents $S_1 \cap S_2 \cap S_3$.
- The purple area represents $S_1 \cap S_2 \cap \overline {S_3}$.
- The orange area represents $S_1 \cap \overline {S_2} \cap S_3$.
- The green area represents $\overline {S_1} \cap S_2 \cap S_3$.
- The red area represents $S_1 \cap \overline {S_2} \cap \overline {S_3}$.
- The blue area represents $\overline {S_1} \cap S_2 \cap \overline {S_3}$.
- The yellow area represents $\overline {S_1} \cap \overline {S_2} \cap S_3$.
- The surrounding white area represents $\overline {S_1} \cap \overline {S_2} \cap \overline {S_3}$.
The notation $\overline {S_1}$ denotes set complement.
If it is required to show on a diagram that a particular intersection is empty, then it is generally shaded black.