different between digon vs monogon

English

Etymology

di- +? -gon.

Pronunciation

• IPA^(key): /?da???n/, /?da???n/
• Hyphenation: di?gon

Noun

digon (plural digons)

1. (geometry) A polygon having two edges and two vertices.
2. (graph theory) A pair of parallel undirected edges in a multigraph.
3. (graph theory) A pair of antiparallel edges in a directed graph.

Synonyms

• bigon, biangle, diangle (less common)

Translations

Further reading

• digon on Wikipedia.Wikipedia

Anagrams

• Godin, Gondi, OD'ing, dingo, doing, doïng

Esperanto

Noun

digon

1. accusative singular of digo

Welsh

Etymology

Deverbal from digoni (“to be able, to suffice”), from a Proto-Celtic *d?k?n-: *d?- (“from, of”) + possibly the root *k?n- (“sound”) that also appears in gwogawn (“glory”), gogoniant (“splendour”).

Pronunciation

• (North Wales) IPA^(key): /?d???n/
• (South Wales) IPA^(key): /?di???n/, /?d???n/

Noun

digon m (uncountable)

1. enough, plenty, a sufficient amount

Derived terms

• digonol (“adequate”)

Adverb

digon

1. enough, sufficient

Mutation

References

English

Etymology

mono- +? -gon.

Pronunciation

• Hyphenation: mon?o?gon

Noun

monogon (plural monogons)

1. (geometry) 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?

2. (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, page 231,

     According to Theorem 4.1.1, such a derived imbedding could be obtained from an imbedded voltage graph with one vertex, ${\displaystyle 6s+2}$ edges, and ${\displaystyle 4s+2}$ faces. Of these faces, ${\displaystyle 4s+1}$ 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", Geometry & Topology 6, page 158,

     There is no monogon in ${\displaystyle M-int(N(B))}$, ie, no disk ${\displaystyle D\subset M-int(N(B))}$ with ${\displaystyle \partial D=D\cap N(B)=\alpha \cup \beta }$, where ${\displaystyle \alpha \subset \partial _{v}N(B)}$ is in an interval fiber of ${\displaystyle \partial _{v}N(B)}$ and ${\displaystyle \beta \subset \partial _{h}N(B)}$.

   • a. 2006, Thilo Kuessner, "A survey on simplicial volume and invariants of foliations and laminations", in, Pawe? Walczak, et al., editors, Foliations 2005, ?ISBN, 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 ${\displaystyle \partial C}$.

3. (optics) A single-faceted reflector.
   • 1999, William L. Wolfe, Infrared Design Examples,^[4] 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.

Quotations

To be listed under the applicable sense

• 2008, Baris Coskunuzer, Proceedings of the American Mathematical Society, Volume 136, Number 4, pages 1427-1432,

  As nonproper embeddedness must produce monogons, one can get a contradiction by using Hass and Scott's surgery arguments for least area objects in [HS].

Synonyms

• henagon

Coordinate terms

• digon
• trigon
• polygon
• apeirogon

Derived terms

• monogonal

See also

• monogonic
• monogon on Wikipedia.Wikipedia