Decagram (geometry)

Decagram
Edges and vertices	10
Schläfli symbol	{10/3}
Symmetry group	D10

Lengths in a regular {10/3} 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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