Ridge (geometry)

In geometry, a ridge is an (n − 2)-dimensional element of an n-dimensional polytope. It is also sometimes called a subfacet for having one lower dimension than a facet.

By dimension, this corresponds to:

• a vertex of a polygon;
• an edge of a polyhedron;
• a face of a polychoron (4-polytope);
• a cell of a 5-polytope;
• a 4-face of a 6-polytope;
• and so forth.

Exactly two facets meet at any ridge in a polytope.

See also

• Peak (geometry)

External links

• Weisstein, Eric W., "Ridge" from MathWorld.
• Glossary for hyperspace: Ridge, George Olshevsky.