In geometry, a hypercube is an n -dimensional analogue of a square (n = 2) and a cube (n = 3); the special case for n = 4 is known as a tesseract.

In Geometry we can have different dimensions. ... The general idea of a cube in any dimension is called a hypercube, or n-cube.

Dec 3, 2025 · The hypercube is a generalization of a 3-cube to n dimensions, also called an n-cube or measure polytope. It is a regular polytope with mutually perpendicular sides, and is therefore an …

A tesseract, also known as a hypercube, is a four-dimensional cube, or, alternately, it is the extension of the idea of a square to a four-dimensional space in the same way that a cube is the extension of the …

A hypercube is the simplest center-symmetric polytope in each respective dimension, by facet count. Hypercubes are a direct generalization of squares and cubes to higher dimensions.

Mar 28, 2021 · A tesseract or hypercube is the four-dimensional equivalent to a cube. In three dimensions, it is like a cube within a cube, except if all the vertices were connected by 90 degree …

As used in geometry, a hypercube is an extrapolation of the cube or square to n dimensions. When n is not specified, it's generally assumed to be 4. For example, a 4th dimensional hypercube is called a …

In geometry, a hypercube is an n -dimensional analogue of a square (n = 2) and a cube (n = 3); the special case for n = 4 is known as a tesseract.

Mar 9, 2025 · What is a hypercube? Imagine a cube, but in four dimensions instead of three. A hypercube, also known as a tesseract, is a geometric shape that extends the concept of a cube into …

The meaning of HYPERCUBE is a geometric figure (such as a tesseract) in Euclidean space of n dimensions that is analogous to a cube in three dimensions.