 | This article does not have any sources. (March 2026) |
A penteract (also called a 5-cube) is a five-dimensional hypercube, and the 5D analogue of a cube and tesseract. It belongs to the infinite family of n-dimensional cubes (n-cubes).
| This article does not have any sources. (March 2026) |
A penteract (also called a 5-cube) is a five-dimensional hypercube, and the 5D analogue of a cube and tesseract. It belongs to the infinite family of n-dimensional cubes (n-cubes).
The penteract exists in 5D Euclidean space and is defined as all points whose coordinates are either 0 or 1 in five dimensions. It is built by extending a tesseract into a fifth dimension.
It is represented by the Schläfli symbol {4,3,3,3}.
The structure contains:
Each vertex connects to 5 edges, one per dimension.
A penteract is formed by recursively extending lower-dimensional shapes: point → line → square → cube → tesseract → penteract.
Each step doubles the number of vertices, following the pattern of the hypercube family.
Like all hypercubes, it is highly symmetric and regular. It generalizes the structure of the square (2D), cube (3D), and tesseract (4D).
A true 5D object cannot be visualized directly. Instead, it is studied using:
These projections distort structure but preserve connectivity.
Penteracts appear in:
