in a high-dimensional space, complex transformations are simple, linear; but when projected into a lower space, the same transformations are that much messier to represent
this is why the simplest way to solve a difficult problem often is to find the right higher representation
any planar projection of a >=3D object inherently necessitates a dimensional reduction; the trick is to minimize lossiness thru salience preservation
in other words, choosing which parts to not cut out very wisely