Relations Of Art and Mathematics in The Renaissance: The Application of Mathematics in Works of Leonardo Da Vinci

There is a close relationship between art and science in the Renaissance. Especially the relationship between art and mathematics. The relationship between mathematics and art has been discussed many times in the past, but there is barely a summary of the application of various mathematical methods in works of art. This paper will focus on Leonardo da Vinci's Mona Lisa, Vitruvian Man, and Last Supper to discuss the usage of the golden spiral, golden ratio, linear perspective, aerial perspective, and geometric figures in works in the Renaissance. Through the connection between these works and mathematical methods, this paper finds that mathematics is widely embodied in Renaissance artworks, and Renaissance artists can apply mathematics to their works to present a more perfect composition and the ratio of figures. The presentation of the deep meaning of artworks can also be presented to the viewer through mathematical language. Moreover, this method of applying mathematics in works of art is also widely used by artists of modern art, among which abstractionism and cubism use mathematical methods the most. In view of this result, the author believes that mathematics and art have always influenced each other in the past history, whether in form or in thoughts.