Polygons

thumb|400px|right|Some polygons of different kinds: open (excluding its boundary), boundary only (excluding interior), closed (including both boundary and interior), and self-intersecting. In geometry, a polygon () is a plane figure made up of line segments connected to form a closed polygonal chain.

thumb|right|Apothem of a hexagon

connected series of line segments

term in geometry

mathematical problem

problem about proving that five points in the plane will have a subset forming the vertices of a convex quadrilateral

thumb|Construction of a stellated dodecagon: a regular polygon with [[Schläfli symbol {12/5}]] In geometry, stellation is the process of extending a polygon in two dimensions, a polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure. Starting with an original figure, the process extends specific elements such as its edges or face planes, usually in a symmetrical way, until they meet each other again to form the closed boundary of a new figure. The new figure is a stellation of the original. The word stellation comes from the Latin stellātus, "starred",

concept in computational geometry

the problem of partitioning a given shape into pieces that can be rearranged to form a second given shape

circle in a coordinate plane associated with a quadratic equation

theorem that every simple closed smooth curve in the plane has at least four points of locally extreme curvature

Image:CubeAndStel.svg Stella octangula as a faceting of the cube

polygon associated to another, where the vertices of one correspond to the edges of the other

a sequence of moves on a lattice that does not visit the same point more than once

curve formed by connecting intermittent points on a rose curve

sequence of faces of a polytope