|Bowers style acronym||Dodag|
|Symmetry||I2(12), order 24|
|Vertex figure||Dyad, length (√–√)/2|
|Measures (edge length 1)|
|Number of pieces||24|
|Level of complexity||2|
The dodecagram, or dodag, is a star polygon with 12 sides. A regular dodecagram has equal sides and equal angles.
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 polygon to appear in any non-prismatic spherical or Euclidean uniform polytopes.
Vertex coordinates[edit | edit source]
Coordinates for a dodecagram of unit edge length, centered at the origin, are all permutations of:
Representations[edit | edit source]
A dodecagram has the following Coxeter diagrams:
- x12/5o (full symmetry)
- x6/5x (G2 symmetry)
[edit | edit source]
- Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".
- Wikipedia Contributors. "Dodecagram".