Background: We know that octonions exist in 8-space, and we know that in 8-space, the 8-dimensional "measure polytope" ("hypercube") just so happens to have the SAME number of 2-dimensional faces (squares) and 3-dimensional cells (cubes). (This number is 1792,) Further, Walter Nissen has stated (and proved) the relevant general property of CERTAIN n-cubes (n=2,5,8,11,...) at this link:
Question: So my question is the following. Is this property of the "8-cube" (i.e. the property of having the same number of square faces and cubic cells) related in any way to the structure of octonions and/or the permissible operations on octonions?