regular polygon

Symmetric many-sided shape

A regular polygon is a flat, closed shape with straight sides that are all equal in length and interior angles that are all equal in measure.

Common examples include the equilateral triangle, square, and regular hexagon.

The term distinguishes these symmetrical figures from irregular polygons, where sides and angles may vary.

A stop sign is shaped like a regular polygon with eight sides.

types

triangle

Three-sided plane figure

squareRhombus with right angles
pentagonFive-sided closed figure
hexagonSix-sided closed figure

heptagon · octagon · nonagon · decagon · dodecagon · equilateral triangle

geometry

equilateral

Having all sides congruent

convexCurved outward externally
interior angleAngle inside a polygon
exterior angleAngle outside a shape's vertex

apothem · circumcircle · centroid · diagonal · perimeter · area · vertex · plane geometry · Euclidean · congruent

symmetry

rotational

Concerning circular movement

reflectionReturned light or thought
axisRotation reference line
mirrorReflective viewing surface

invariant · order · center · bilateral · radial · symmetric · transformation · cyclic · self-similar

applications

stop sign

Roadside traffic directive

honeycombWax matrix of hexagons
tileFlat surface-covering piece
mosaicInlaid pictorial arrangement

floor pattern · soccer ball · bolt head · nut · coin · snowflake · crystal · logo · mandala · stained glass

Categories

geometryangles, circles, angle, shapes, lines
polygonstriangle, quadrilateral, pentagon, hexagon, heptagon
shapescircle, square, triangle, rectangle, oval
3D shapescube, sphere, cone, cylinder, pyramid

Opposites

geometric regularity

regular polygonirregular polygon

Many-sided shape, sides differ

scalene triangle

shape category

regular polygoncircle

Curved closed shape

ellipse · curved shape · blob · fractal · line segment

Family

regular, regularity, polygon, polygonal

Familiarity: Top 200,000
Profile: Used worldwide · Timeless · Concrete · Rated G