Types of polygons

equiangular and equilateral polygon

convex hull of a finite set of points in a plane

polygon in which all sides have equal length

polygon with no edge crossings nor holes

arrangement of joined polytopes which can be folded to become the facets of a higher-dimensional polytope

simple polygon which is not convex

polygon in which all angles are equal

geometrically a regular concave decagon, is a common ideogram in modern culture

convex polygon that contains an inscribed circle

vertex-transitive polytope

polygon whose vertices do not lie in a plane

six-pointed figure which can be drawn with a single line; mystical or occult symbol

tangential and cyclic polygon

polygon that contains a point from which the entire polygon boundary is visible

thumb|400px|The smallest golygon has 8 sides. It is the only solution with fewer than 16 sides. It contains two Concave polygon|concave corners, and fits on an 8×10 grid. It is also a [[spirolateral, 890°1,5.]] A golygon, or more generally a serial isogon of 90°, is any polygon with all right angles (a rectilinear polygon) whose sides are consecutive integer lengths. Golygons were invented and named by Lee Sallows, and popularized by A.K. Dewdney in a 1990 Scientific American column (Smith). Variations on the definition of golygons involve allowing edges to cross, using sequences of edge lengt

thumb|A parallelogon is constructed by two or three pairs of parallel line segments. The vertices and edges on the interior of the hexagon are suppressed. thumb|There are five Bravais lattice#Bravais lattices in at most two dimensions|Bravais lattices in two dimensions, related to the parallelogon tessellations by their five symmetry variations.

property of a geometric object

n-sided polygon that has diameter 1 and the largest area among all diameter-1 n-gons

a star polygon on a sphere, composed of five great circle arcs, whose all internal angles are right angles.

thumb|upright|Octagonal zonogon thumb|Tessellation by irregular hexagonal zonogons thumb|upright|Regular octagon tiled by squares and rhombi

cyclic pentagon whose side lengths and area are all rational numbers