A tesseract is a 4-dimensional hypercube. Since the number of dimensions is a square number, the diagonal length of a tesseract is an integer - in this case, 2. Its Bowers acronym is "tes". The image shows the shadow of a rotating tesseract, keep in mind that 4D objects have 3D shadows.
The tesseract can be seen as a cube prism, the product of a cube and a line segment. It is also the square-square duoprism, i.e. the product of two squares. It can also be seen as a square prism prism, or the product of four line segments.
Structure and sections
The tesseract is composed of eight cubic cells. Two of these cubes line in parallel 3-D spaces, while the remaining six connect the faces of the cubes. Four cubes meet at each vertex.
In cube-first position, it is a sequence of identical cubes. In square-centered orientation, it is a square which expands to a square prism and back. When seen line-first it is a line that expands to a triangular prism, then turns to a hexagonal prism, and then back. Finally in corner first orientation, it goes through the entire tetrahedral truncation series, from point to tetrahedron to octahedron in the middle and then back.