Definition:Polygon/Regular

Definition
A regular polygon is a polygon which is both equilateral and equiangular.

That is, in which all the sides are the same length, and all the vertices have the same angle:


 * RegularPolygon.png

Also known as
In, a regular polygon is referred to as an equilateral and equiangular polygon.

Examples
Specific instances of regular polygons with specific numbers of sides are as follows:


 * $3$ sides: Equilateral Triangle
 * $4$ sides: Square
 * $5$ sides: Regular Pentagon
 * $6$ sides: Regular Hexagon
 * $7$ sides: Regular Heptagon
 * $8$ sides: Regular Octagon
 * $9$ sides: Regular Nonagon or Regular Enneagon
 * $10$ sides: Regular Decagon
 * $11$ sides: Regular Hendecagon or Regular Undecagon
 * $12$ sides: Regular Dodecagon


 * $17$ sides: Regular Heptadecagon

The term regular $n$-gon is usually used nowadays to specify a regular polygon with a specific number, that is $n$, sides.

The specific name is usually invoked only in order to draw attention to the fact that such a regular polygon has a particularly interesting set of properties.

Also see

 * Regular Polygon can be Inscribed in Circle