Dodecagram

Dodecagram

A dodecagram is a star polygon that has twelve vertices. There is 1 regular form: {12/5}.

All dodecagrams share the vertices of a dodecagon, which may be regarded as {12/1}.

Dodecagrams in polyhedra

Dodecagrams can also be incorporated into polyhedra.

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  A dodecagrammic prism
• 
  A dodecagrammic antiprism
• 
  A dodecagrammic crossed-antiprism

Star figures

There are 3 regular dodecagram star figures, {12/2}, {12/3} and {12/4}. 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.

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  {12/2} dodecagram star figure
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  {12/3} dodecagram star figure
• 
  {12/4} dodecagram star figure

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.

See also

• Stellation
• Star polygon
• List of regular polytopes

References

• Weisstein, Eric W. "Dodecagram". MathWorld.