Triacontagon
A triacontagon or 30-gon is a shape with 30 sides and 30 corners.
| Regular triacontagon | |
|---|---|
 A regular triacontagon | |
| Type | Regular polygon |
| Edges and vertices | 30 |
| Schläfli symbol | {30}, t{15} |
| Coxeter diagram |      |
| Symmetry group | Dihedral (D30), order 2×30 |
| Internal angle (degrees) | 168° |
| Dual polygon | Self |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
Regular triacontagon
All sides of a regular triacontagon are the same length. Each corner is 168°. All corners added together equal 5040°.
Area
The amount of space a regular triacontagon takes up is
- [math]\displaystyle{ \text{Area} = \frac{15}{4} a^2 (\sqrt{15} + 3\sqrt{3} + \sqrt{2}\sqrt{25+11\sqrt{5}}) }[/math]
a is the length of one of its sides.