1. A geometric figure in four or more dimensions that is the higher-dimensional analogue of a cube; specifically, a four-dimensional cube (tesseract).
Usage: mathematics; geometry
2. In general mathematics, an n-dimensional generalization of a cube for any number of dimensions greater than three.
Usage: mathematics; technical

Examples

• A hypercube in four dimensions has 16 vertices and 24 edges.
• The tesseract, or four-dimensional hypercube, is difficult to visualize in three-dimensional space.
• Mathematicians use hypercubes to study properties of higher-dimensional geometry.
• A hypercube can be constructed by connecting two cubes with corresponding vertices.
• In computer science, hypercubes are used as models for parallel processing networks.
• The projection of a hypercube onto a two-dimensional plane creates interesting geometric patterns.