Ditrigon

The ditrigon is a convex semi-uniform 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


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


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


 * $$\left(\pm\frac{a}{2},\,\frac{-a-2b}{2\sqrt{3}}\right)$$.

For retrograde ditrigons (i.e. Tripods and Propeller tripods), a is 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.