digon

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English[edit]

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A digon with an internal area (the green portion) can be depicted on the surface of a sphere if its vertices are antipodal (on opposite sides of the sphere). On a flat surface, a digon would look like a line.

Etymology[edit]

di- +‎ -gon.

Pronunciation[edit]

  • IPA(key): /ˈdaɪɡən/, /ˈdaɪɡɒn/
    • (file)
  • Hyphenation: di‧gon

Noun[edit]

digon (plural digons)

  1. (geometry) A polygon having two edges and two vertices.
    • 2013, Brent Davis; Moshe Renert, The Math Teachers Know: Profound Understanding of Emergent Mathematics, New York, N.Y.; Abingdon, Oxon.: Routledge, →ISBN, page 102:
      They [the students] also came upon new and unusual mathematical figures: the digon, a two-sided polygon on a spherical space, and the apeirogon, an open polygon with infinitely many sides  []. All these discoveries brought up even more questions. Is a circle a polygon? What makes an octagon an octagon – its eight vertices, its eight sides, or both? Can a polygon cross itself? Does a polygon need to be closed?
  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[edit]

Translations[edit]

Further reading[edit]

Anagrams[edit]


Esperanto[edit]

Noun[edit]

digon

  1. accusative singular of digo

Welsh[edit]

Etymology[edit]

Perhaps ultimately from Proto-Indo-European *h₁én (produce).[1]

Pronunciation[edit]

Noun[edit]

digon m (uncountable)

  1. enough, plenty, a sufficient amount

Derived terms[edit]

Adverb[edit]

digon

  1. enough, sufficient

Mutation[edit]

Welsh mutation
radical soft nasal aspirate
digon ddigon nigon unchanged
Note: Some of these forms may be hypothetical. Not every
possible mutated form of every word actually occurs.

References[edit]

  1. ^ J. Morris Jones, A Welsh Grammar, Historical and Comparative (Oxford 1913), § 196 ii (5).