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Regular dodecagram
A regular dodecagram
Type
Regular star polygon
Edges and vertices
12
Schläfli symbol
{12/5} t{6/5}
Coxeter–Dynkin diagrams
Symmetry group
Dihedral (D12)
Internal angle (degrees)
30°
Properties
star, cyclic, equilateral, isogonal, isotoxal
Dual polygon
self
Star polygons
pentagram
hexagram
heptagram
octagram
enneagram
decagram
hendecagram
dodecagram
v
t
e
In geometry, a dodecagram (from Greek δώδεκα (dṓdeka) 'twelve', and γραμμῆς (grammēs) 'line'[1]) 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}.
^γραμμή, Henry George Liddell, Robert Scott, A Greek-English Lexicon, on Perseus
In geometry, a dodecagram (from Greek δώδεκα (dṓdeka) 'twelve', and γραμμῆς (grammēs) 'line') is a star polygon or compound with 12 vertices. There is...
Petrie polygon for the grand 120-cell and great stellated 120-cell. A dodecagram is a 12-sided star polygon, represented by symbol {12/n}. There is one...
Stellated polygons Two-dimensional regular polytopes Others Hexadecagram Dodecagram γραμμή, Henry George Liddell, Robert Scott, A Greek-English Lexicon, on...
divisions of a circle. It represents the 150° turn angles of a Dodecagram, {12/5}. Dodecagram {12/5} S A Septile is an angle of about 51.43°, which is 1⁄7...
ten-pointed star polygon Hendecagram, an eleven-pointed star polygon Dodecagram, a twelve-pointed star polygon Magic star, a star polygon in which numbers...
from the 6-5 dodecagram (where each segment subtends 5 π / 6 {\displaystyle 5\pi /6} radians, or 150 degrees). The incircle of this dodecagram demonstrates...
icositetragrams constructed as deeper truncations of the regular dodecagon {12} and dodecagram {12/5}. These also generate two quasitruncations: t{12/11}={24/11}, and...
The shape of a double hex head is equivalent to that of a 2{6} regular dodecagram. The pentalobe screw drive is a five-pointed tamper-resistant system implemented...
{9/4} Decagram – {10/3} Hendecagram – {11/2}, {11/3}, {11/4} and {11/5} Dodecagram – {12/5} m and n must be coprime, or the figure will degenerate. The degenerate...
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