The term "hyperoctahedron" may refer to the 16-cell polytope in 4 dimensions, or more generally to an -dimensional cross polytope.
Hyperoctahedron
See also
16-Cell, Cross PolytopeExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Hyperoctahedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Hyperoctahedron.html