Flag (geometry)

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For a comparable but different concept of linear algebra, see flag manifold.

In geometry a flag is a connected set of elements from each dimensionality of a polygon, polyhedron, or higher polytope.

For example a flag of a polygon comprises one corner and one connecting side. A flag of a polyhedron comprises one vertex, one connected edge and one connected face.

A regular polygon, polyhedron, or higher polytope is transitive on its flags.

[edit] References

• Peter R. Cromwell, Polyhedra, Cambridge University Press 1997, ISBN 9-521-55432-2