Hexadecagon
From Wikipedia, the free encyclopedia
| Regular hexadecagon | |
|---|---|
 A regular hexadecagon |
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| Type | Regular polygon |
| Edges and vertices | 16 |
| Schläfli symbol | {16} |
| Coxeter diagram |    |
| Symmetry group | D16, order 2×16 |
| Internal angle (degrees) | 157.5° |
| Dual polygon | self |
| Properties | convex, cyclic, equilateral, isogonal, isotoxal |
In mathematics, a hexadecagon (sometimes called a hexakaidecagon) is a polygon with 16 sides and 16 vertices.
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Regular hexadecagon
A regular hexadecagon is constructible with a compass and straightedge.
Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees.
Construction
A regular hexadecagon is constructible using compass and straightedge:
Construction of a regular hexadecagon
Area
The area of a regular hexadecagon is: (with t = edge length)
Petrie polygons
The regular hexadecagon is the Petrie polygon for many higher dimensional polytopes, shown in these skew orthogonal projections, including:
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