Mathematical forms in poetry 4 – Permutations

In the latter part of the 12th century Arnaut Daniel, a troubadour from Ribérac in what is now the Dordogne, entertained the courts of southern Europe with poems on themes of chivalry and courtly love. Daniel’s poetry, written in his native Occitan, is characterised by technical virtuosity, with complex rhyme and metrical schemes and intricate structures. Although only a few of his poems are still extant, his gifts have impressed successive generations of poets: Dante, Petrarch and Ezra Pound all held him in the highest regard.

Daniel is generally credited with inventing the sestina and his poem ‘Lo ferm voler qu’el cor m’intra’, dating from around 1200, is the earliest known example of this poetic form. A sestina consists of six stanzas of six lines each, with each stanza featuring the same end-words in a set sequence of permutations.

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