Icosihenagon

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In geometry, an icosihenagon or 21-gon is a twenty-one-sided polygon. The sum of any icosihenagon's interior angles is 3420 degrees. An icosihenagon has 189 diagonals.

Regular icosihenagon
A regular icosihenagon
TypeRegular polygon
Edges and vertices21
Schläfli symbol{21}
Coxeter–Dynkin diagrams
Symmetry groupDihedral (D21), order 2×21
Internal angle (degrees)≈162.857°
PropertiesConvex, cyclic, equilateral, isogonal, isotoxal
Dual polygonSelf

Regular form

An angle of a regular icosihenagon is   degrees.

Since  (21) = 12 is 3-smooth but not power of 2, thus the regular icosihenagon is constructible using neusis, or an angle trisector, but not constructible using a compass and straightedge.

See also