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→k-face: since the cube doesn't have "its" but the others all do, we have to be explicit with the others |
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In other areas of mathematics, such as the theories of [[abstract polytope]]s and [[star polytope]]s, the requirement for convexity is relaxed. Abstract theory still requires that the set of faces include the polytope itself and the empty set.
There are specific names for ''k''-faces depending on the value of ''k'' and, in some cases, how close ''k'' is to the dimensionality ''n'' of the polytope.
===Vertex or 0-face {{anchor|Vertex}}===
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