monogons

Noun

monogon (plural monogons)

1. A one-dimensional object comprising one vertex and one (not necessarily straight) edge both of whose ends are that vertex.
   • A geodesic with multiple points contains at least one simple monogon.1955, Herbert Busemann, The Geometry of Geodesics, page 295
2. A two-dimensional object comprising one vertex, one edge both of whose ends are that vertex, and one face filling in the hollow formed by that edge.
   • According to Theorem 4.1.1, such a derived imbedding could be obtained from an imbedded voltage graph with one vertex, 6s#43;2 edges, and 4s#43;2 faces. Of these faces, 4s#43;1 should be 3-sided and satisfy KVL. The other face should be a monogon whose net voltage has order two.1987, Jonathan L. Gross, Thomas W. Tucker, Topological Graph Theory, Dover Publications, published 2001, →ISBN, page 231
3. A single-faceted reflector.
   • A new optical scanner is described which serves as a monogon or single-facet device, providing one scan per shaft rotation.1991, Beam Deflection, Scanning Technologies, edited by Gerald F. Marshall, Leo Beiser, →ISBN, page 33