Just to chest-compress this cardiac-arrested topic one final time, IMHO a book in which several prominent mathematicians each discussed one poem, interpreting it in mathematical terms, would find many readers.
Because isn't it true, that the associative structure of human cognition is such that a practiced ability to "see mathematics in poetry" would necessarily lead to improved ability to "see poetry in mathematics"?
The latter skill, everyone believes is good!
For example, here's an "easy" poetic fragment that applies broadly in mathematics:
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Mending Wall
Something there is that doesn't love a wall,
That sends the frozen-ground-swell under it
And spills the upper boulder in the sun,
And make gaps even two can pass abreast.
...
Before I built a wall I'd ask to know
What I was walling in or walling out,
And to whom I was like to give offense.
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Here's a somewhat harder one, from the Sung Dynasty, which Shing-Tung Yau especially commends to his students:
Looking for her a thousand times
In a crowd
All of a sudden
As I turned my head
There she was
Standing in the shades of fading lights