Triacontadigon

Regular triacontadigon
File:Regular polygon 32.svg A regular triacontadigon
Type	Regular polygon
Edges and vertices	32
Schläfli symbol	{32}, t{16}, tt{8}, ttt{4}
Coxeter diagram	File:CDel node 1.pngFile:CDel 3x.pngFile:CDel 2x.pngFile:CDel node.png File:CDel node 1.pngFile:CDel 16.pngFile:CDel node 1.png
Symmetry group	Dihedral (D32), order 2×32
Internal angle (degrees)	168.75°
Dual polygon	Self
Properties	Convex, cyclic, equilateral, isogonal, isotoxal

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

Regular triacontadigon

All sides of a regular triacontadigon are the same length. Each corner is 168​³⁄₄°. All corners added together equal 5400°.

Area

The amount of space a regular triacontadigon takes up is

<math>\text{Area} = 8a^2 \left(1+ \sqrt{2} + \sqrt{4 +2 \sqrt{2} } +\sqrt{8 +4 \sqrt{2} +2 \sqrt{20 +14 \sqrt{2} } }\right).</math>

a is the length of one of its sides.