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|Bowers style acronym||Dodag|
|Coxeter diagram||x12/5o ()|
|Vertex figure||Dyad, length (√6–√2)/2|
|Measures (edge length 1)|
|Number of external pieces||24|
|Level of complexity||2|
|Abstract & topological properties|
|Symmetry||I2(12), order 24|
The dodecagram is a star polygon with 12 sides. A regular dodecagram has equal sides and equal angles.
This is the fourth stellation of the dodecagon, and the only one that is not a compound. The only other polygons with a single non-compound stellation are the pentagon, the octagon, and the decagon.
It is the uniform quasitruncation of the hexagon, and as such appears as faces in a handful of uniform Euclidean tilings. It is the largest star polygon known to appear in any non-prismatic spherical or Euclidean uniform polytopes.
Coordinates for a dodecagram of unit edge length, centered at the origin, are all permutations of:
A dodecagram has the following Coxeter diagrams:
- x12/5o (full symmetry)
- x6/5x () (G2 symmetry)
- Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".
- Wikipedia Contributors. "Dodecagram".