[vrxjiisb] Rotating 4D object

Given a four dimensional object, consider all possible cross sections of it through its center.  What continuous sequence of such cross sections uniformly samples all possibilities?  This is analogous to the three dimensional case.

However, given a three dimensional cross section, we then need to project it onto a two dimensional display, yielding more degrees of freedom.  We would like eventually to see all possible orientations of all possible cross sections.