A regular hexadecagon
|Edges and vertices||16|
|Symmetry group||D16, order 2×16|
|Internal angle (degrees)||157.5°|
|Properties||convex, cyclic, equilateral, isogonal, isotoxal|
A regular hexadecagon is a hexadecagon in which all angles are equal and all sides are congruent.
Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees.
The area of a regular hexadecagon is: (with t = edge length)
In the early 16th century, Raphael was the first to construct a perspective image of a regular hexadecagon: the tower in his painting The Marriage of the Virgin has 16 sides, elaborating on an eight-sided tower in a previous painting by Pietro Perugino.
An octagonal star can be seen as a concave hexadecagon:
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