Decagram (geometry)
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| Regular decagram | |
|---|---|
 A regular decagram | |
| Type | Regular polygon |
| Edges and vertices | 10 |
| Schläfli symbol |
{10/3} t{5/3} |
| Coxeter diagram |
      |
| Symmetry group | Dihedral (D10) |
| Internal angle (degrees) | 72° |
| Dual polygon | self |
| Properties | star, cyclic, equilateral, isogonal, isotoxal |
Lengths in a regular decagram
In geometry, a decagram is a 10-sided star polygon. There is one regular decagram star polygon, {10/3}, containing the vertices of a regular decagon, but connected by every third point.
Star figures
There are two regular decagram star figures: {10/2} and {10/4}, connected by every second and every fourth point respectively.
 {10/2} or 2{5} is a compound of 2 pentagons. |
 {10/4} or 2{5/2} is a compound of 2 pentagrams. |
Other decagrams
An isotoxal decagram has two types of vertices at alternating radii, for example, this tripled-wrapped figure. This only has D5 symmetry.
See also
- List of regular polytopes#Non-convex
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