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|Bowers style acronym||Soc|
|Vertex figure||Dyad, length √2|
|Measures (edge length 1)|
|Number of external pieces||16|
|Level of complexity||2|
|Army||Oc, edge length|
|Abstract & topological properties|
|Symmetry||I2(8), order 16|
The stellated octagon, or soc is a polygon compound composed of two squares. As such it has 8 edges and 8 vertices.
It is the first stellation of the octagon.
Its quotient prismatic equivalent is the square antiprism, which is three-dimensional.
Vertex coordinates[edit | edit source]
Coordinates for the vertices of a stellated octagon of edge length 1 centered at the origin are given by:
Variations[edit | edit source]
The stellated octagon can be varied by changing the angle between the two component squares from the usual 45°. These 2-square compounds generally have a ditetragon as their convex hull and remain uniform, but not regular, with square symmetry only.
External links[edit | edit source]
- Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".