
In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be convex or star. In the limit, a sequence of regular polygons with an increasing number of sides becomes a circle, if the perimeter is fixed, or a regular apeirogon, if...
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http://en.wikipedia.org/wiki/Regular_polygon

(from the article `mathematics`) ...into an important example of the theory of finite commutative groups. And in the long final section of his book, Gauss gave the theory that lay ... A polygon is called regular if it has equal sides and angles. Thus, a regular triangle is an equilateral triangle, and a regular quadrilateral is a ... ...
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http://www.britannica.com/eb/a-z/r/28

[
n] - a polygon with all sides and all angles equal
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http://www.webdictionary.co.uk/definition.php?query=regular%20polygon

A polygon in which all of the angles and all of the sides are equal. See also: Decagon, Pentagon.
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https://www.encyclo.co.uk/local/20687

A polygon in which all sides are congruent and all angles are congruent
Examples:
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https://www.encyclo.co.uk/local/20874
noun a polygon with all sides and all angles equal
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https://www.encyclo.co.uk/local/20974
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