Dodecagram

In geometry, a dodecagram (from Greek δώδεκα (dṓdeka) 'twelve', and γραμμῆς (grammēs) 'line') is a star polygon or compound with 12 vertices. There is one regular dodecagram polygon (with Schläfli symbol {12/5} and a turning number of 5). There are also 4 regular compounds {12/2}, {12/3}, {12/4}, and {12/6}.

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