Definition of "monogon"

A geodesic with multiple points contains at least one simple monogon.

1955, Herbert Busemann, The Geometry of Geodesics‎, page 295

There are no one-sided closed polygons on a plane. On the cube, however, monogons are a diverse and interesting class of figures.

1981, Harold Abelson, Andrea A. DiSessa, Turtle Geometry: The Computer As a Medium for Exploring Mathematics‎, page 262

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?

2003, Gordon Baker, translator and editor, Ludwig Wittgenstein and Friedrich Waismann, The Voices of Wittgenstein: The Vienna Circle, Routledge, page 409

According to Theorem 4.1.1, such a derived imbedding could be obtained from an imbedded voltage graph with one vertex, 6 s + 2 {\displaystyle 6s+2} edges, and 4 s + 2 {\displaystyle 4s+2} faces. Of these faces, 4 s + 1 {\displaystyle 4s+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, page 231

There is no monogon in M − i n t ( N ( B ) ) {\displaystyle M-int(N(B))} , ie, no disk D ⊂ M − i n t ( N ( B ) ) {\displaystyle D\subset M-int(N(B))} with ∂ D = D ∩ N ( B ) = α ∪ β {\displaystyle \partial D=D\cap N(B)=\alpha \cup \beta } , where α ⊂ ∂ v N ( B ) {\displaystyle \alpha \subset \partial _{v}N(B)} is in an interval fiber of ∂ v N ( B ) {\displaystyle \partial _{v}N(B)} and β ⊂ ∂ h N ( B ) {\displaystyle \beta \subset \partial _{h}N(B)} .

2002, Tao Li, "Laminar Branched Surfaces in 3–manifolds", Geometry & Topology 6, page 158

An end-compressing monogon for F is a monogon properly embedded in the complimentary[sic] region C which is not homotopic (rel. boundary) into ∂ C {\displaystyle \partial C} .

a. 2006, Thilo Kuessner, "A survey on simplicial volume and invariants of foliations and laminations", in, Paweł Walczak, et al., editors, Foliations 2005, page 295

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, page 33

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.

1999, William L. Wolfe, Infrared Design Examples, Tutorial Texts in Optical Engineering Volume TT36, SPIE Press, page 133