Ditrigon

The ditrigon, or dit, is a convex semiuniform hexagon. As such it has 6 sides that alternate between two edge lengths, with each vertex joining one side of each length. All interior angles of a ditrigon measure 120°. If the side lengths are equal, the result is the regular hexagon.

Vertex Coordinates
A ditrigon with edge lengths a and b has the vertex coordinates

$$(\pm\frac{b}{2},\frac{2a+b}{2\sqrt{3}}) $$

$$(\pm\frac{a+b}{2},\frac{b-a}{2\sqrt{3}}) $$

$$(\pm\frac{a}{2},\frac{-a-2b}{2\sqrt{3}}) $$

For retrograde ditrigons, a can be negative.

In vertex figures
The ditrigon appears as a vertex figure in one uniform polyhedron, namely the small ditrigonary icosidodecahedron. This ditrigon has edge lengths of 1 and ($\sqrt{5}$–1)/2.