Visualization of mathematical principles and ideas;

When it comes to escher, the first thing people think of is the "confusing picture". Obviously, I went up the stairs on the second floor and somehow returned to the first floor. The bird suddenly turned into a fish in the constant change. These pictures are the imaginary dimensions described by escher, which have incredible magic and conquer people's hearts. His particularly rare painting style has long been regarded as a heresy in the art world. Later, mathematicians began to pay attention to the difficult composition of escher's pictures. Then his paintings became very popular among young people and established their unshakable position in the world.

From 65438 to 0956, escher held his first important art exhibition, which was well received by Time magazine and gained worldwide reputation. There are many mathematicians among his most ardent admirers, who believe that the principles and ideas of mathematics have been unusually visualized in his works. This is particularly impressive, because the Dutch artist has no formal math training outside of middle school. With the development of creation, he gained great inspiration from the mathematical ideas he read. He often uses the structure of plane geometry and projective geometry directly in his work, which makes his works deeply reflect the essence of non-Euclidean geometry. He was also fascinated by paradox and "impossible" graphic structure, and developed many attractive artistic achievements by using an idea of roger penrose. Thus, for students studying mathematics, escher's work revolves around two broad fields: "space geometry" and what we might call "space logic".

Realism:

After graduating from high school, at his father's suggestion, escher went to Harlem to study architecture. However, his knowledge of physics and mathematics did not shape him into an architect, but ignited his passion for painting art. He met Samuel Musquita, an influential artist in the Netherlands at that time, and studied and studied the printmaking techniques of various materials under his guidance. From 1923 to 1935, he is full of enthusiasm for life and shows realism in his creation. He once lived in Italy and was intoxicated by the beauty of villas in southern Italy. He desperately sketched and created, and those rolling mountains and small towns built by mountains were full of life.