What does science have to do with poetry?

Not all scientists, nor thinkers, nor poets, have agreed on whether they have what if anything to do with each other. To this day, it is still debated, like at the 2009 Oxford debate, Poetry is Beautiful, But Science is What Matters (according to the public, poetry wins).
Reading about science during its rise in the Victorian period can be summed up through the locomotive as a metaphor for the speeding advances of society thanks to science, which may or may not be a gift from God (depending on who was writing). Science was all about the empirical, but the more sensitive scientists would say things like: prose is what science can do, poetry is what it is.
A demonstration of the conflict that was going on at that time can be seen in Wordsworth, who wrote that a scientist "would peep and botanise upon his mother's grave," but then went on to use an illustration of a schizophrenic from Darwin's Laws of Organic Life in other writing. If such illustrations strike your fancy, read this entertaining, instructive article.
However -and essentially- for some, matter is ultimately poetry. Even mathematics is poetry- if it is true on several levels at once, implicitly suggestive (like the Delphic oracle), and economically concise. Einstein said, "True mathematical science is, in its way, the poetry of the logical."
Coleridge expected the poet to report even on science in an epic poem (epic, as it contains all knowledge/experience acquired up to the time of its writing), and he estimated it would take a poet 10 years to master that knowledge, then another 10 years before the poet could write the poem.
But he was writing when the scientific transformation was still so new. And now that the dust is settling, we see Promethean inventions and Heraclitean relativism. The comparisons will always be less precise than the mathematics, but their abstractions seek essence, something that precision lacks.
As Kenko asks, "Are we only to look at flowers in full bloom, at the moon when it is clear?" (and empirical?!)...
"In all things, it is the beginning and the end that are interesting."
Poetry is the birth and death that do not "have an appointed hour" - Kenko writes. And doesn't our beginning and end ultimately lie in our personal experience and subjective memory?
So, the response to the question may be: what is science without poetry...
And, if this week is about remembrances, here is a picture token:

Elements: vintage starburst and bows pugly pixel ; buttons and button card minitoko; canvas background fuzzimo.

Here is part of a poem written in Salamanca in the 16th century, The Night Serene, by Fray Luis de Leon:

Alas!—arise, weak mortals,
And measure all your loss!
Begirt for deathless portals,
Can souls their birthright toss
Aside, and live on shadows vain and dross?

Oh, let your eyes beholding
Yon pure celestial sphere,
Unmask the wiles enfolding
The life that flatters here—
The little day of mingled hope and fear!

What more can base earth render
Than one poor moment's pause,
Compared with that far Splendor
Where in its primal cause
Lives all that is—that shall be—and that was!