1. Application of mathematical elements: Various mathematical elements, such as geometric figures, function curves and matrices, are often used in mathematical painting. These elements provide a unique visual effect for painting, and make the works have mathematical beauty and accuracy. For example, some paintings may use fractal structure, which is a common graphic mode in mathematics.

2. Visual effects and themes: The visual effects and themes of mathematical painting are often interrelated. Some works may explore the composition and transformation of shape, color and space to show concepts or phenomena in mathematics. In addition, some works may use abstract shapes and patterns to express an emotion or symbolize a meaning.

3. Painting skills: The painting skills of mathematical painting are also part of its charm. These skills include the use of color, the description of lines, the structure of space and so on. At the same time, painters also need to have a deep understanding of painting materials in order to better use these materials to express their thoughts and feelings.

Functions of Mathematical Painting Works

1. Stimulate interest in mathematics: Mathematics painting combines mathematics with art, making mathematics more interesting and accessible. By appreciating these works, people can feel the beauty and charm of mathematics more intuitively, thus stimulating their interest and curiosity in mathematics. This is of great significance to improve the public's cognition and understanding of mathematics.

2. Cultivate mathematical thinking: Mathematical drawing can cultivate people's mathematical thinking. When people appreciate these works, they need to understand the mathematical elements, principles and concepts used in the works, which is helpful to improve their mathematical literacy and cognitive level. At the same time, combining mathematical elements with painting can cultivate people's logical thinking and image thinking and improve their ability to solve problems.

3. Expand the art field: Another important role of mathematical painting is to expand the art field. Traditional art forms often focus on expressing emotions and artistic conception, while mathematical painting combines art and science, providing new ideas and inspiration for artistic creation. This interdisciplinary art form provides artists with a broader creative space and promotes the development and innovation of art.