A 4D shape is called a tesseract, or a hypercube. It is a four-dimensional cube, or the extension of the idea of a square to a four-dimensional space. This is the same way that a cube is the extension of the idea of a square to a three-dimensional space.

The concept of a four-dimensional cube is difficult to visualize, as it is not something that we experience in everyday life. However, it is possible to get a sense of what a tesseract looks like by looking at a two-dimensional representation of it. In this representation, the tesseract is composed of eight cubes, each of which is connected to the other seven cubes.

The tesseract has been studied since the 19th century, when mathematicians began to explore the concept of higher-dimensional geometry. The term “tesseract” was first used by Charles Howard Hinton in 1888, and it is derived from the Greek word “tessares,” which means “four.”

The tesseract has a number of interesting properties. For example, it has 16 vertices, 32 edges, and 24 faces. It is also the only four-dimensional shape that can be constructed from regular polygons. This means that it can be constructed from four cubes, each of which is connected to the other three cubes.

The tesseract also has a number of symmetries. It is a self-dual polytope, meaning that it is symmetrical in all directions. It also has an octahedral symmetry, meaning that it can be rotated in any direction and still look the same.

The tesseract has been used in a number of fields, including mathematics, physics, and computer science. In mathematics, it is used to study higher-dimensional geometry and topology. In physics, it is used to model the behavior of particles in higher-dimensional space. In computer science, it is used to model the behavior of objects in virtual reality.

The tesseract is an interesting and complex shape that has been studied for centuries. It is a four-dimensional cube, or the extension of the idea of a square to a four-dimensional space. It has a number of interesting properties, including 16 vertices, 32 edges, and 24 faces. It is also the only four-dimensional shape that can be constructed from regular polygons. It has a number of symmetries, and it has been used in a number of fields, including mathematics, physics, and computer science. It is an intriguing shape that continues to fascinate mathematicians and scientists alike.