Heptadecagon
A heptadecagon or septadecagon or 17-gon is a shape with 17 sides and 17 corners.
Regular heptadecagon
All sides of a regular heptadecagon are the same length. Each corner is 158.82°. All corners added together equal 2700°.
Area
The amount of space a regular heptadecagon takes up is
The area of a regular heptadecagon of side length a is given by
- [math]\displaystyle{ A = \frac{17}{4}a^2\cot\frac{\pi}{17}\simeq 22,735a^2 }[/math]
Heptadecagon construction
The regular heptadecagon edit geometry compass and ruler in 1796, demonstrated Carl Friedrich Gauss.
This is due to Göttingen of a memorial statue of a regular heptadecagon pedestal.
The following animation of a heptadecagon editing.
Heptadecagon Media
Publication by C. F. Gauss in Intelligenzblatt der allgemeinen Literatur-Zeitung
Gaussian construction of the regular heptadecagon.
Regular Heptadecagon Using Carlyle Circle
Construction according to Duane W. DeTemple with Carlyle circles, animation 1 min 57 s
Regular Heptadecagon Inscribed in a Circle
Construction according to*"sent by T. P. Stowell, credited to Leybourn's Math. Repository, 1818".*Added: "take OK a mean proportional between OH and OQ"
Construction according to*"sent by T. P. Stowell, credited to Leybourn's Math. Repository, 1818".*Added: "take OK a mean proportional between OH and OQ", animation
Construction according to H. W. Richmond
Construction according to H. W. Richmond as animation
Heptadecagon in principle according to H.W. Richmond, a variation of the design regarding to point N
