# Regular Polygon

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.

### Other articles related to "regular polygon, polygon, polygons, regular, regular polygons":

Johnson Solid
... a Johnson solid is a strictly convex polyhedron, each face of which is a regular polygon, but which is not uniform, i.e ... There is no requirement that each face must be the same polygon, or that the same polygons join around each vertex ... Since a regular polygon has angles at least 60 degrees, it follows that at most five faces meet at any vertex ...
Viviani's Theorem - Extensions - Regular Polygon
... If a polygon is regular (both equiangular and equilateral), the sum of the distances to the sides from an interior point is independent of the location of the point ...