An element of a polytope P is a polytope belonging to P. It is ambiguous whether P itself counts as an element.
A pseudoelement of a polytope P is a polytope whose lower-dimensional elements are all elements of P, but which is not an element of P. For example, the octahedron has three pseudo-squares, while the tetrahemihexahedron (which has the same edges) has the same squares as faces. However, four of the octahedron's faces are pseudo-faces of the tetrahemihexahedron.
Naming[edit | edit source]
Elements have special names based on their dimensionality.
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