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. It can be called a
penteract, a
portmanteau of
tesseract (the
4-cube) and
pente for five (dimensions) in
Greek. It can also be called a regular
deca-5-topeor
decateron, being a
5-dimensional polytope constructed from 10 regular
facets.