Noun

(en noun)

(geometry) A one-dimensional object comprising one vertex and one (not necessarily straight) edge both of whose ends are that vertex.

*{{quote-book, 1955, Herbert Busemann, The Geometry of Geodesics citation

, passage=A geodesic with multiple points contains at least one simple monogon . }}

*{{quote-book, 1981, Harold Abelson and Andrea A. DiSessa, Turtle Geometry: The Computer As a Medium for Exploring Mathematics citation

, passage=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, , 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 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 3–manifolds", 6, page 158,

*:There is no monogon in $M-int(N(B))$, ie, no disk $D\backslash subset\; M-int(N(B))$ with $\backslash partial\; D=D\backslash cap\; N(B)=\backslash alpha\backslash cup\backslash beta$, where $\backslash alpha\backslash subset\backslash partial\_vN(B)$ is in an interval fiber of $\backslash partial\_vN(B)$ and $\backslash beta\backslash subset\backslash partial\_hN(B)$.

* Thilo Kuessner, "A survery on simplicial volume and invariants of foliations and laminations", in, Pawe? Walczak, et al., editors, Foliations 2005 , ISBN 9812700749, page 295,

*:An end-compressing monogon' for ''F'' is a '''monogon properly embedded in the complimentary(SIC) region ''C which is not homotopic (rel. boundary) into $\backslash partial\; C$.

(optics) A single-faceted reflector.

*{{quote-book, 1991, Beam Deflection and Scanning Technologies, Leo Beiser, editor=Gerald F. Marshall citation

, passage=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.

Noun

(wikipedia henagon) (en noun)

a polygon having one edge and one angle