Dodecagram
In geometry, a dodecagram (from Greek δώδεκα (dṓdeka) 'twelve' and γραμμῆς (grammēs) 'line'[1]) is a star polygon or compound with 12 vertices.An isotoxal polygon has two vertices and one edge type within its symmetry class.Other isogonal (vertex-transitive) variations with equally spaced vertices can be constructed with two edge lengths.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.red: {12} regular dodecagon green: {12/2}=2{6} two hexagons blue: {12/3}=3{4} three squares cyan: {12/4}=4{3} four triangles magenta: {12/5} regular dodecagram yellow: {12/6}=6{2} six digons Dodecagrams can also be incorporated into uniform polyhedra.
Regular star polygonverticesSchläfli symbolCoxeter–Dynkin diagramsSymmetry groupDihedralInternal angledegreescyclicequilateralisogonalisotoxalDual polygonStar polygonspentagramhexagramheptagramoctagramenneagramdecagramhendecagramgeometrystar polygonturning numbervertex arrangementdodecagonstar figureshexagonssquarestrianglesdigonshexagramsisotoxal polygonDensityvertex-transitivedegeneratecomplete graphuniform polyhedraprismatic uniform polyhedraDong Son drumsInternational Order of Twelve Knights and Daughters of TaborThe twelve tribes of Nauru on the national flagStellationList of regular polytopes and compoundsWeisstein, Eric W.MathWorldGrünbaum, B.Tilings and patternsJohn H. ConwayPolygonsIsoscelesKeplerObtuseQuadrilateralsAntiparallelogramBicentricCrossedEquidiagonalEx-tangentialHarmonicIsosceles trapezoidOrthodiagonalParallelogramRectangleRight kiteRight trapezoidRhomboidRhombusSquareTangentialTangential trapezoidTrapezoidMonogon (1)Digon (2)Triangle (3)Quadrilateral (4)Pentagon (5)Hexagon (6)Heptagon (7)Octagon (8)Nonagon/Enneagon (9)Decagon (10)Hendecagon (11)Dodecagon (12)Tridecagon (13)Tetradecagon (14)Pentadecagon (15)Hexadecagon (16)Heptadecagon (17)Octadecagon (18)Icosagon (20)Icositrigon (23)Icositetragon (24)Triacontagon (30)257-gonChiliagon (1000)Myriagon (10,000)65537-gonMegagon (1,000,000)Apeirogon (∞)ConcaveConvexEquiangularInfinite skewPseudotriangleRectilinearRegularReinhardtSimpleStar-shapedWeakly simple