# Dodecagram

Regular dodecagram
A regular dodecagram
TypeRegular polygon
Edges and vertices12
Schläfli symbol{12/5}
t{6/5}
Coxeter diagram
Symmetry groupDihedral (D12)
Internal angle (degrees)30°
Dual polygonself
Propertiesstar, cyclic, equilateral, isogonal, isotoxal

Regular dodecagram
A regular dodecagram
TypeRegular polygon
Edges and vertices12
Schläfli symbol{12/5}
t{6/5}
Coxeter diagram
Symmetry groupDihedral (D12)
Internal angle (degrees)30°
Dual polygonself
Propertiesstar, cyclic, equilateral, isogonal, isotoxal

A dodecagram is a star polygon that has twelve vertices. There is one regular form: {12/5}. A regular dodecagram has the same vertex arrangement as a regular dodecagon, which may be regarded as {12/1}.

## Dodecagrams in polyhedra

Dodecagrams can also be incorporated into polyhedra. Below are the three prismatic uniform polyhedra containing dodecagrams.

## Star figures

There are 3 regular dodecagram star figures, {12/2} (2{6}), {12/3} (3{4}) and {12/4} (4{3}). The first is a compound of two hexagons, the second is a compound of three squares and the last is a compound of four triangles.

## Complete graph

Superimposing all the dodecagons and dodecagrams on each other – including the degenerate compound of six digons (line segments), {12/6} – produces the complete graph K12.