Of course, there are also some artistic sculptures that do not treat space and its three-dimensional space in a traditional way. This kind of work takes space as its own component. So the center of gravity can be a point in space rather than a point in the work, such as the red side of Noguchi. Other sculptures depend on their interaction with space, and the space around them is as important as sculpture, or has the same status. For example, Karl Andre's "Zinc-Zinc Plain", this sculpture is placed in a room without any other sculptures or objects. The work consists of 36 small squares to form a big square, which is laid flat on the ground. The room is used to express space, and the work is only a little space, so this work is described by him as "a corner of space".
Some works can be said to be the negation of gravity, such as alexander calder's car sculptures, whose balance and symmetry are very delicate. There are also some works whose balance at the apex is incredible, and even some sculptures, such as the running fence of crystals, regard the earth itself as an integral part of art and artistic significance.
When an artist conceives a work, he often needs to understand its essence mathematically in order to become a realistic and possible work. Most of Leonardo da Vinci's works are analyzed mathematically before they are created. If M.C. escher didn't make a mathematical analysis of mosaic pattern thought and optical illusion, he could not create freely and his works could not be completed freely.
Today, many sculptors rely on mathematical ideas to expand people's works. For example, Tony Robin developed and expanded his art by studying quasicrystal geometry, fourth-dimensional geometry and computer science. Ronald Dale Rush had to use intuition, creativity, mathematics, computers and hands to create this giant sculpture of Easter eggs. So it is not surprising to find that mathematical models can also be used as artistic models. These models include cubes, torus, polyhedrons, hemispheres, squares, spheres, triangles, pyramids, pyramids and so on.
Mathematical objects in Euclidean geometry and topology play a very important role in the sculptures of many artists. Such as Noguchi Yong, david smith, henry moore and other artists.
No matter what kind of sculpture, there will be some mathematical thinking in it. Although they can imagine and create without mathematical thinking, mathematics exists in works of art just as it exists in all things in nature.
The so-called center of gravity is the point where the object keeps balance. For example, the center of gravity of a triangle can be determined by making three midlines of the triangle, and its center of gravity is the intersection of these three midlines.