Triacontadigon
A triacontadigon or icosidodecagon is a shape with 32 sides and 32 corners.
| Regular triacontadigon | |
|---|---|
 A regular triacontadigon | |
| Type | Regular polygon |
| Edges and vertices | 32 |
| Schläfli symbol | {32}, t{16}, tt{8}, ttt{4} |
| Coxeter diagram |      |
| Symmetry group | Dihedral (D32), order 2×32 |
| Internal angle (degrees) | 168.75° |
| Dual polygon | Self |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
Regular triacontadigon
All sides of a regular triacontadigon are the same length. Each corner is 1683⁄4°. All corners added together equal 5400°.
Area
The amount of space a regular triacontadigon takes up is
- [math]\displaystyle{ \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.
Triacontadigon Media
Some polygons of different kinds: open (excluding its boundary), boundary only (excluding interior), closed (including both boundary and interior), and self-intersecting.
Some different types of polygon
Partitioning an n-gon into n − 2 triangles
Coordinates of a non-convex pentagon
Historical image of polygons (1699)
The Giant's Causeway, in Northern Ireland
