monogon
Sign in to saveAlso known as henagon
In geometry, a monogon, also known as a henagon, is a curve, considered by some as a polygon with one edge and one vertex. It has Schläfli symbol {1}.
Key facts
- Polygon.name
- Monogon
- Polygon.image
- Monogon.svg
- Polygon.caption
- On a circle, a monogon is a tessellation with a single vertex, and one 360-degree arc edge.
- Polygon.type
- Regular polygon
- Polygon.edges
- 1
- Polygon.schläfli
- {1} or h{2}
- Polygon.coxeter
- or
- Polygon.symmetry
- [ ], Cs
- Polygon.dual
- Self-dual
via Wikipedia infobox
~1 min read
Encyclopedic overview
4 sectionsContents
- In Euclidean geometry
- In spherical geometry
- See also
- References
{{Infobox polygon | name = Monogon | image = Monogon.svg | caption = On a circle, a monogon is a tessellation with a single vertex, and one 360-degree arc edge. | type = Regular polygon | euler = | edges = 1 | schläfli = {1} or h{2} | wythoff = | coxeter = or | symmetry = [ ], Cs | area = | angle = | dual = Self-dual | properties = }} In geometry, a monogon, also known as a henagon, is a curve, considered by some as a polygon with one edge and one vertex. It has Schläfli symbol {1}.
==In Euclidean geometry== In Euclidean geometry a monogon is a degenerate polygon because its endpoints must coincide, unlike any Euclidean line segment. Most definitions of a polygon in Euclidean geometry do not admit the monogon.
Excerpted from Wikipedia’s “monogon” article, available under the CC BY-SA 4.0 licence.