One of the simplest multi-dimensional
structures is the four-dimensional analogue
of an ordinary cube.
A theory of space as multi-dimensional
structure includes physical dimensions beyond
the three "spatial" and one "temporal"
including gravity and other phenomena
as spatial dimensions.
A hypercube cannot be visualized
but one can unravel a hypercube
into its lower components
of ordinary 3D cubes (tesseract)
or to visualize its shadow-projections
or cross sections
The shadow of a cube
a square within a square.
The shadow of a hypercube
a cube within a cube.
The hypercube model is used as a communication structure
in parallel computing and complex information management
Engineers are constantly dealing with mathematical structures using the square root of minus 1, which has a mathematical identity defining a 90 degree deviation from "normal space", intrinsic to the mechanics of electro-magnetic phenomena. Mathematicians deal with multidimensional cosmology, or hyperspace, by assigning most of the phenomena as physical dimensions, which are mutually orthogonal to each other, electric, magnetic and gravitic flux as dimensional manifestations.