polygon with 30 sides

A triacontagon or 30-gon is a shape with 30 sides and 30 corners.

Regular triacontagon
A regular triacontagon
TypeRegular polygon
Edges and vertices30
Schläfli symbol{30}, t{15}
Coxeter diagramCDel node 1.pngCDel 3x.pngCDel 0x.pngCDel node.png
CDel node 1.pngCDel 15.pngCDel node 1.png
Symmetry groupDihedral (D30), order 2×30
Internal angle (degrees)168°
Dual polygonSelf
PropertiesConvex, cyclic, equilateral, isogonal, isotoxal

Regular triacontagonEdit

All sides of a regular triacontagon are the same length. Each corner is 168°. All corners added together equal 5040°.


The amount of space a regular triacontagon takes up is


a is the length of one of its sides.