Example
The following figure shows an example of a van Kampen diagram for the free abelian group of rank two
The boundary label of this diagram is the word
The area of this diagram is equal to 8.
Read more about this topic: Van Kampen Diagram
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“Our intellect is not the most subtle, the most powerful, the most appropriate, instrument for revealing the truth. It is life that, little by little, example by example, permits us to see that what is most important to our heart, or to our mind, is learned not by reasoning but through other agencies. Then it is that the intellect, observing their superiority, abdicates its control to them upon reasoned grounds and agrees to become their collaborator and lackey.”
—Marcel Proust (1871–1922)