Regular digon | |
---|---|
Type | Regular polygon |
Edges and vertices | 2 |
Schläfli symbol | {2} |
Coxeter–Dynkin diagrams | |
Symmetry group | D2, [2], (*2•) |
Internal angle (degrees) | 0° (convex) |
Dual polygon | Self-dual |
In geometry, a bigon,[1] digon, or a 2-gon, is a polygon with two sides (edges) and two vertices. Its construction is degenerate in a Euclidean plane because either the two sides would coincide or one or both would have to be curved; however, it can be easily visualised in elliptic space. It may also be viewed as a representation of a graph with two vertices, see "Generalized polygon".
A regular digon has both angles equal and both sides equal and is represented by Schläfli symbol {2}. It may be constructed on a sphere as a pair of 180 degree arcs connecting antipodal points, when it forms a lune.
The digon is the simplest abstract polytope of rank 2.
A truncated digon, t{2} is a square, {4}. An alternated digon, h{2} is a monogon, {1}.