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Words, grammatical forms and meanings linked to the ontology.

monogon en · NOUN

Pronunciation

Etymology

From mono- + -gon.

Meanings

  1. A one-dimensional object comprising one vertex and one (not necessarily straight) edge both of whose ends are that vertex.
    • 2003, Gordon Baker, translator and editor, Ludwig Wittgenstein and Friedrich Waismann, The Voices of Wittgenstein: The Vienna Circle, Routledge, →ISBN, 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?
    • 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, →ISBN, page 262:
  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.
    • 2002, Tao Li, "Laminar Branched Surfaces in 3–manifolds", Geometry & Topology 6, page 158, There is no monogon in M-int(N(B)), ie, no disk D⊂M-int(N(B)) with ∂D=D∩N(B)=α∪β, where α⊂∂_(vN)(B) is in an interval fiber of ∂_(vN)(B) and β⊂∂_(hN)(B).
    • An end-compressing monogon for F is a monogon properly embedded in the complimentary^([sic]) region C which is not homotopic (rel. boundary) into #92;partialC. a. 2006, Thilo Kuessner, “A survey on simplicial volume and invariants of foliations and laminations”, in Paweł Walczak et al., editors, Foliations 2005, →ISBN, page 295:
    • 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:
    • 1999, William L. Wolfe, Infrared Design Examples, Tutorial Texts in Optical Engineering Volume TT36, SPIE Press, →ISBN, 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.

Forms

SpellingFeaturesLabelsSource
monogons Number=Plur lexicographic

Coordinates

polygon · digon · trigon · apeirogon

Deriveds

monogonal

Relateds

monogonic

Synonyms

henagon

Translations (8)

kk бірбұрыш (geometry) · pl kształt o jednym wierzchołku (geometry) · fi yksikulmio (geometry) · cs jednoúhelník (geometry) · de Eineck (geometry) · frs äinkâant (geometry) · ru одноуго́льник (geometry) · nl eenhoek (geometry)