The Relationship between Mathematics and Literature

The thinking methods of mathematics and literature are often interlinked. For example, middle school curriculum has "symmetry" and literature has "duality". Symmetry is a transformation, but some properties remain unchanged after it changes. Axisymmetric, that is, folded in half according to the axis of symmetry, the shape and size of the figure remain unchanged. So what is the opposite? It's just that the upper couplet has become the lower couplet, but some characteristics of words and expressions remain unchanged. Wang Wei's poem says, "There is moonlight in the pine forest and crystal stone in the stream". Here, the bright moon and clear springs are all natural scenery and have not changed. Adjective "Ming" is the same as "Qing" and noun "Yue" is the same as "Quan". The rest is the same. The immutability of change exists widely in culture, literature and mathematics. The "dual theory" in mathematics and the change and invariance in topology are the embodiment of this idea. Literary artistic conception and mathematical concepts also have similarities. Mr. Xu Lizhi has long pointed out that "sailing alone, the blue sky is exhausted", which is the artistic conception of the limit concept.