Anyone ever see Carl Sagan's 'flatland' speech? I wonder if these things are not just our perception of some 'object' in a 'higher dimension', and all we can see is a 'portion' of it. And, since most of reality seems to rely on 'circle' or 'globular' shapes, why wouldn't that be true in a higher dimension, rather than a squarish or angular type shape as in a tesseract?