5-cube

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.