- Source: Monogon
In geometry, a monogon, also known as a henagon, is 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.
In spherical geometry
In spherical geometry, a monogon can be constructed as a vertex on a great circle (equator). This forms a dihedron, {1,2}, with two hemispherical monogonal faces which share one 360° edge and one vertex. Its dual, a hosohedron, {2,1} has two antipodal vertices at the poles, one 360° lune face, and one edge (meridian) between the two vertices.
See also
Digon
References
Herbert Busemann, The geometry of geodesics. New York, Academic Press, 1955
Coxeter, H.S.M; Regular Polytopes (third edition). Dover Publications Inc. ISBN 0-486-61480-8
Kata Kunci Pencarian:
- Henagon
- Poligon
- Daftar bentuk matematika
- Monogon
- Digon
- Degeneracy (mathematics)
- Euclidean plane
- List of mathematical shapes
- Star polygon
- Regular polygon
- List of regular polytopes
- Boneworks
- Polygon
