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teseract (4d)
A 4-dimensional cube, also known as a tesseract or hypercube, has several key properties. It is bounded by 8 cubes, 24 squares, 32 edges, and 16 vertices. It can be thought of as a cube extended into a fourth dimension.
Key Properties:
Faces: A tesseract is formed by 8 cubic cells, or 8-cells, each of which is a cube.
Edges: It has 32 edges, which are the lines where the cube faces meet.
Vertices: There are 16 vertices, or points where the edges meet.
Dimensional Analogy: Just as a cube is the 3D analog of a square, the tesseract is the 4D analog of a cube.
Volume: In four-dimensional space, the tesseract's volume is L4, where L is the length of one side.
Surface: The tesseract's "surface" (in the 3D sense) is formed by 8 cubes, each with a volume of L3, according to University of Pittsburgh.