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

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  A dodecagrammic antiprism

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  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

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  {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" from MathWorld.

This geometry-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Polygons Geometry stubs Wikimedia Foundation. 2010. Игры ⚽ Поможем написать реферат Dodecadenia Dodecahydroxycyclohexane Look at other dictionaries: Dodécagramme — Un dodecagrammme est un polygramme entrelacé à 12 sommets. Sa première forme régulière est {12/5}. Tous les dodecagrammes partagent leurs sommets avec ceux d un Dodécagone {12/1}. Sommaire …   Wikipédia en Français Polygon — For other uses, see Polygon (disambiguation). Some polygons of different kinds In geometry a polygon (   …   Wikipedia Quadrilateral — This article is about four sided mathematical shapes. For other uses, see Quadrilateral (disambiguation). Quadrilateral Six different types of quadrilaterals Edges and vertices 4 …   Wikipedia Triangle — This article is about the basic geometric shape. For other uses, see Triangle (disambiguation). Isosceles and Acute Triangle redirect here. For the trapezoid, see Isosceles trapezoid. For The Welcome to Paradox episode, see List of Welcome to… …   Wikipedia Pentagram — For other uses, see Pentagram (disambiguation). Regular pentagram A pentagram Type Star polygon Edges and vertices 5 Schläfli symbol {5/2} …   Wikipedia Circle of fifths — showing major and minor keys …   Wikipedia Star polygon — Set of regular star polygons {5/2} {7/2} …   Wikipedia Octagon — For other uses, see Octagon (disambiguation). Regular octagon A regular octagon Type general type of this shape Edges and vertices …   Wikipedia Decagon — Regular decagon Edges and vertices 10 Schläfli symbol {10} Coxeter–Dynkin diag …   Wikipedia Nonagon — Regular nonagon A regular nonagon Edges and vertices 9 Schläfli symbol {9} Coxeter–Dynkin diagram …   Wikipedia 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”