On a circle, a henagon is a tessellation with a single vertex, and one 360 degree arc.
In geometry a henagon (or monogon) is a polygon with one edge and one vertex. It has Schläfli symbol {1}.
Since a henagon has only one side and only one interior angle, every henagon is regular by definition.
In Euclidean geometry, a henagon is usually considered to be an impossible object, because its single edge would extend to infinity. However, in spherical geometry a finite henagon can be drawn by placing a single vertex anywhere on a great circle.
Two henagons can be used to construct a dihedron on a sphere, with Schläfli symbol, {1,2}.
See also
References
- Olshevsky, George, Monogon at Glossary for Hyperspace.
- Herbert Busemann, The geometry of geodesics. New York, Academic Press, 1955
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