Monogon

From mono- and -gon.

Full definition of monogon

(plural monogons)

(geometry) 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.
There are no one-sided closed polygons on a plane. On the cube, however, monogons are a diverse and interesting class of figures.
2003, Gordon Baker, translator and editor, Ludwig Wittgenstein and , The Voices of Wittgenstein: The Vienna Circle, Routledge, ISBN 0415056446, page 409,We explain to somebody what is a regular quadrilateral constructed within the circle; then a regular triangle and a regular bi-angle. Now we ask him to draw a regular monogon by analogy, and we probably think that he cannot do this. But what if he draws a point on the circle and says that it is a regular monogon?

(geometry) 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.

1987, Jonathan L. Gross and Thomas W. Tucker Topological Graph Theory, 2001 Dover Publications edition, ISBN 0486417417, page 231,According to Theorem 4.1.1, such a derived imbedding could be obtained from an imbedded voltage graph with one vertex, $6s+2$ edges, and

4s+2 faces. Of these faces,

4s+1

should be 3-sided and satisfy KVL. The other face should be a monogon whose net voltage has order two.

2002, Tao Li, "Laminar Branched Surfaces in 3â€“manifolds", Geometry and Topology 6, page 158,There is no monogon in $M-int(N(B))$ , ie, no disk $D\subset M-int(N(B))$ with

\partial D=D\cap N(B)=\alpha\cup\beta, where

\alpha\subset\partial_vN(B)

is in an interval fiber of

\partial_vN(B)

and

\beta\subset\partial_hN(B)

a. 2006 Thilo Kuessner, "A survery on simplicial volume and invariants of foliations and laminations", in, PaweÅ‚ Walczak, et al., editors, Foliations 2005, ISBN 9812700749, page 295,An end-compressing monogon for F is a monogon properly embedded in the complimentary region C which is not homotopic (rel. boundary) into $\partial C$ .

A new optical scanner is described which serves as a monogon or single-facet device, providing one scan per shaft rotation.
1999, William L. Wolfe, Infrared Design Examples, Tutorial Texts in Optical Engineering Volume TT36, SPIE Press, ISBN 0-8194-3319-5, page 133,These devices also start with the monogon, a plane mirror, and include the bigon, a two-sided mirror, the trigon, quadrigon, and general n-gons.