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it should definitely not be merged into the lune article, as that's only one special case of a digon. There are two concepts here: the abstract concept of a digon, without regard to being embedded in any space, which needs its own standalone article, and one possible realization of a digon, embedded
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I am no longer completely sure about merging monogons and digons, as the latter are far more legitimate - they make sense as abstract polytopes. The monogon does not as it has two 1-sections that are not line segments. (It doesn't have any 1-polytopes as elements, for a 1-polytope must have two
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P.S. The digon has also been called the "bigon" in our culture's habitual mashing up of Latin prefixes with Greek suffixes. That has pretty much fallen out of use nowadays so we can truly say "let bigons be byegons" without fear of deletion. — Cheers,
503:. The two articles need to acknowledge each other, as their subjects overlap although they are distinct (not all digons are lunes, while treating the circular lune as an irregular digon would not be sensible). — Cheers,
288:- there is no mathematical literature devoted to the degeneracy of polygons, it is just a rag-bag of cases which get passing mention in the literature. For the same reason, wikipedia doesn't have articles on
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382:-- a moment's web searching confirms that "digon" is a term frequently used in the mathematical literature, with a specific meaning that is separate from some general conception of degenerate polygons.
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is a standard term in geometry for a line segment with multiplicity two. This way, one gets all cyclic groups as rotation symmetries of polygons. I've also seen
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theory, etc. and its properties are discussed in sufficient depth in sufficient sources to establish its notability. — Cheers,
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endpoints - a 0-sphere - and the single "edge" of the monogon has but one.) It seems like they may be better separated.
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an important geometric shape in non-euclidean geometries, and seemingly also in other fields I'm less familiar with. -
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into a single article in a way that did not improve the coverage of either. Accordingly, I have also rescued
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The spherical lune is in fact an example of a regular digon: Coxeter provides a rock-solid reference in
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Although, I am sorely tempted to vote delete, for the sake of using the pun: "Let digons be bygones."
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used to refer to a lune of the sphere, but I think that is probably best kept completely separate.
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within a spherical surface, which should be mentioned in both the digon and lune articles. --
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The following discussion is an archived debate of the proposed deletion of the article below.
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Subsequent comments should be made on the appropriate discussion page (such as the article's
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September 6, 2015 to Degenerate polygon. It is now redundant to there.
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either. On the other hand the digon itself is most useful when it is
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The above discussion is preserved as an archive of the debate.
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to generate a more thorough discussion and clearer consensus.
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is therefore misconceived and should be deleted. — Cheers,
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238:list of Mathematics-related deletion discussions
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561:- It might be merged and redirected into
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471:to deal with that, and added
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168:free images
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624:or in a
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127:View log
39:or in a
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404:monogon
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447:Biały
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83:Digon
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