The stellated dodecagon, or sedog, is a polygon compound composed of two hexagons. As such it has 12 edges and 12 vertices.
|Bowers style acronym||Sedog|
|Vertex figure||Dyad, length √3|
|Measures (edge length 1)|
|Number of external pieces||24|
|Level of complexity||2|
|Army||Dog, edge length|
|Abstract & topological properties|
|Symmetry||I2(12), order 24|
As the name suggests, it is the first stellation of the dodecagon.
Its quotient prismatic equivalent is the hexagonal antiprism, which is three-dimensional.
Coordinates for the vertices of a stellated dodecagon of edge length 1 centered at the origin are given by:
The stellated dodecagon can be varied by changing the angle between the two component hexagons from the usual 30°. These 2-hexagon compounds generally have a dihexagon as their convex hull and remain uniform, but not regular, with hexagonal symmetry only.
- Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".