5-cube penteract (pent) | ||
---|---|---|
Type | uniform 5-polytope | |
Schläfli symbol | {4,3,3,3} | |
Coxeter diagram | ||
4-faces | 10 | tesseracts |
Cells | 40 | cubes |
Faces | 80 | squares |
Edges | 80 | |
Vertices | 32 | |
Vertex figure | 5-cell | |
Coxeter group | B5, [4,33], order 3840 | |
Dual | 5-orthoplex | |
Base point | (1,1,1,1,1,1) | |
Circumradius | sqrt(5)/2 = 1.118034 | |
Properties | convex, isogonal regular, Hanner polytope |
In five-dimensional geometry, a 5-cube is a name for a five-dimensional hypercube with 32 vertices, 80 edges, 80 square faces, 40 cubic cells, and 10 tesseract 4-faces.
It is represented by Schläfli symbol {4,3,3,3} or {4,33}, constructed as 3 tesseracts, {4,3,3}, around each cubic ridge.