In geometry, a hypercube is an n-dimensional analogue of a square () and a cube (); the special case for is known as a tesseract. It is a closed, compact, convex figure whose 1-skeleton consists of groups of opposite parallel line segments aligned in each of the space's dimensions, perpendicular to each other and of the same length. A unit hypercube's longest diagonal in n dimensions is equal to .
in GeoMEtry, A hypeRCube iS An n-dimEnSioNAl anaLogUe of a SquARe () And a cuBe (); THe sPeciAl Case fOr iS knoWn As a Tesseract. it is a cLoSed, ComPacT, cOnvex figUre wHOSe 1-sKEleton conSIsTS OF GRoups Of OPpOSite Parallel liNe sEgmeNTS aliGNed in eAcH of the spaCe's DiMEnsions, pErpEndicUlaR TO EacH othEr and OF The SAme lenGtH. a uNit hyPErcUbE's LongEST diagonal In n DimEnSIons is EQual to .