Heptadecagon

A heptadecagon or septadecagon or 17-gon is a shape with 17 sides and 17 corners.

Regular heptadecagon[change | change source]

All sides of a regular heptadecagon are the same length. Each corner is 158.82°. All corners added together equal 2700°.

The amount of space a regular heptadecagon takes up is

The area of a regular heptadecagon of side length a is given by

A={\frac {17}{4}}a^{2}\cot {\frac {\pi }{17}}\simeq 22,735a^{2}

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.

This short article about mathematics can be made longer. You can help Wikipedia by adding to it.

v t e Polygons
Special cases, including regular polygons with their own names, in parentheses List of polygons by number of sides
1–10 sides	Henagon Digon Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon
11–20 sides	Hendecagon Dodecagon Tridecagon Tetradecagon Pentadecagon Hexadecagon Heptadecagon Octadecagon Enneadecagon Icosagon
21–30 sides	Icosihenagon (21) Icosidigon (22) Icosikaitrigon (23) Icosikaitetragon (24) Icosipentagon (25) Icosihexagon (26) Icosikaiheptagon (27) Icosioctagon (28) Icosikaienneagon (29) Triacontagon (30)
31–50 sides	Triacontadigon (32) Triacontatetragon (34) Tetracontagon (40) Tetracontadigon (42) Tetracontaoctagon (48) Pentacontagon (50)
51–100 sides (selected)	Hexacontagon (60) Hexacontatetragon (64) Heptacontagon (70) Octacontagon (80) Enneacontagon (90) Enneacontahexagon (96) Hectogon (100)
>100 sides	120-gon 257-gon 360-gon Chiliagon (1,000) Myriagon (10,000) 65537-gon Apeirogon (∞)
Star polygons (5–12 sides)	Pentagram Hexagram Heptagram Octagram Enneagram Decagram Hendecagram Dodecagram
Triangles	Isosceles triangle Equilateral triangle Right triangle
Quadrilaterals	Square Rectangle Rhombus Parallelogram Trapezoid Kite Antiparallelogram