I'm looking for any correct term used to define a point in 4 dimensional space. IE: What does a polychoron compose?
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What about "point"? – MJD Feb 17 '15 at 22:22
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Vertices, edges, faces, cells. I guess in general (a vague recollection from a course where simplical complexes were studied) the top dimensional parts would be cells, and the lower dimensional parts various $k$-faces for varying $k$. This recollection is probably not entirely accurate :-) – Jyrki Lahtonen Feb 17 '15 at 22:25