180-gon
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| Regular 180-gon | |
|---|---|
| Type | Regular polygon |
| Edges and vertices | 180 |
| Schläfli symbol | {180}, t{90} |
| Coxeter diagram |      |
| Symmetry group | Dihedral (D180), order 2×180 |
| Internal angle (degrees) | 178° |
| Dual polygon | Self |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
In geometry, a 180-gon is a polygon with 180 sides.
Regular 180-gon properties[edit]
A regular 180-gon is represented by Schläfli symbol {180}.
One interior angle in a regular 180-gon is 178°, meaning that one exterior angle would be 2°.
Since 180 = 22 × 32 × 5, a regular 180-gon is not constructible using a compass and straightedge,[1] but is constructible if the use of an angle trisector is allowed.
References[edit]
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