It will be easier to write from the essence, characteristics and reflection forms of mathematical beauty, and there will be more materials to look up. It's also easy to find.

In China, there are some descriptions: "Mathematical beauty is the presentation of a person's essential strength through a pleasant mathematical thinking structure", "Mathematical beauty is a free form of mathematical creation", "Mathematical beauty is the unity of truth, goodness and beauty", "The essence of mathematical beauty lies in order" and so on.

Objectivity of mathematical beauty

Sociality of mathematical beauty

Materiality of mathematical beauty

The agreeableness of mathematical beauty

The main contents of mathematical beauty are generally embodied in the beauty of simplicity, symmetry, strangeness and order.