Poems structured by integer sequences

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Abstract
Poems and numbers, in particular positive integers, are intimately connected. Numbers contribute to the structure of a poem. Poetry's musicality depends not only on words, but also on quantifiable structural elements. This article explores several techniques for constructing poems using properties of sequences of positive integers. Borrowing from the name of the sequence, the poems generated by the techniques discussed in this paper can be divided into three groups: Fibonacci poems, irrational poems and prime-number poems. The paper provides an overview of each technique, including a brief mathematical background, its history, relevant literature, technical details on how it is used to structure poems and a sample of poems generated by it. We conclude with several related ideas for further exploration.

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