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.

Read more about Regular Polygon: General Properties, Regular Convex Polygons, Regular Skew Polygons, Regular Star Polygons, Duality of Regular Polygons, Regular Polygons As Faces of Polyhedra

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

... 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 ...

**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 ...

... Every circle has an inscribed

**regular polygon**of n sides, for any n≥3, and every

**regular polygon**can be inscribed in some circle ... Every

**regular polygon**has an inscribed circle, and every circle can be inscribed in some

**regular polygon**of n sides, for any n≥3 ...

**Regular Polygon**s As Faces of Polyhedra

... A uniform polyhedron has

**regular polygons**as faces, such that for every two vertices there is an isometry mapping one into the other (just as there is for a

**regular polygon**) ... A

**regular**polyhedron is a uniform polyhedron which has just one kind of face ... The remaining (non-uniform) convex polyhedra with

**regular**faces are known as the Johnson solids ...

### Famous quotes containing the word regular:

“He hung out of the window a long while looking up and down the street. The world’s second metropolis. In the brick houses and the dingy lamplight and the voices of a group of boys kidding and quarreling on the steps of a house opposite, in the *regular* firm tread of a policeman, he felt a marching like soldiers, like a sidewheeler going up the Hudson under the Palisades, like an election parade, through long streets towards something tall white full of colonnades and stately. Metropolis.”

—John Dos Passos (1896–1970)