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 ...
Facts About Inscribed Figures
... 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 Polygons 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)