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.

Dec 22, 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 …

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

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 …

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 …

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.

To build a 4D cube, let’s start all the way back with a simple 1D line. Drag that line along the y axis to create a 2D square. Drag that square along the z axis to create a 3D cube. And finally, …