Maybe then we should consider these as two different questions:
1) What's the simplest/best way to translate/scale some object such that it fits within some given viewpoint?
2) How to check whether some polytope P is orbiform, and how to compute the circumsphere?
A somewhat related (but not so important) question is whether there's a meaningful definition for a maximal in-sphere for a polytope P that is not necessarily convex. I can think of several non-convex cases where it would imply multiple in-spheres, and may require global optimization to find the maximal one (and also it would not be of much use
). But if we restrict P to be convex, can there be a meaningful definition of a maximal in-sphere? Is it possible to make it unique?