(This page is a grouping of multiple very low-effort articles worthy of deletions, but linked to heavily nonetheless. That is why this article itself may be very low quality too.)
An n-dimensional polytope is bounded by a number of (n − 1)-dimensional facets. They can also be called as "elements" of a polytope.
Subfacets include: vertices, edges, faces, cells, etc...
Vertex

A vertex is a zero-dimensional subfacet. Two or more vertices create an edge.
Edge
An edge is a one-dimensional subfacet. Two or more edges meet at a vertex. A face is made up of three or more edges.
Face
A face is a two-dimensional subfacet. Two or more faces meet at an edge.
Cell
A cell is a three-dimensional subfacet. Two or more cells meet at a face. A teron is made up of five or more cells.