When you see a large number of bluebells, you probably don't think about maths either. You don't need to, in order to enjoy the scene. But maths is there, all the same. You actually get involved with maths quite often. Every time you hear music, maths is there.
Every flower seems to have maths.
If you solved the Rubik cube you used maths. It would be highly symmetrical, because it would look the same everywhere. A real poem cannot last for ever, and is a little less symmetrical for that reason alone. The symmetry of a real poem is reduced further, because most of the lines, most of the stanzas, and most of the words, differ from one another. But the rhyming scheme and the rhythm scheme often retain enough symmetry to distinguish poetry from prose.