polygon with 32 sides

A triacontadigon or icosidodecagon is a shape with 32 sides and 32 corners.

Regular triacontadigon
Regular polygon 32.svg
A regular triacontadigon
TypeRegular polygon
Edges and vertices32
Schläfli symbol{32}, t{16}, tt{8}, ttt{4}
Coxeter diagramCDel node 1.pngCDel 3x.pngCDel 2x.pngCDel node.png
CDel node 1.pngCDel 16.pngCDel node 1.png
Symmetry groupDihedral (D32), order 2×32
Internal angle (degrees)168.75°
Dual polygonSelf
PropertiesConvex, cyclic, equilateral, isogonal, isotoxal

Regular triacontadigonEdit

All sides of a regular triacontadigon are the same length. Each corner is 168​34°. All corners added together equal 5400°.


The amount of space a regular triacontadigon takes up is


a is the length of one of its sides.