Answer :
The main similarity between "The Purple Cow" and Frost's poem "Mending Wall" is that they both are amusing.
They both have an endearing sense of humor in their language, which is how they might be compared. There are no other commonalities.
They avoid precise meter and neither use iambic pentameter nor do they rely on the use of black verse. Thus, there is only one thing in common.
The Purple Cow poem's main objective is to amuse. Burgess penned a number of quatrain poems for young readers, including this one. Other passages have a similar tone and aim to amuse readers or at least make them smile through the imagery he conjures.
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