All dimensions Wiki

(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...



A vertex is a zero-dimensional subfacet. Two or more vertices create an 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.


A face is a two-dimensional subfacet. Two or more faces meet at an edge.


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.