equilateral polygon

A polygonMathworldPlanetmathPlanetmath is equilateral if all of its sides are congruent.

Common examples of equilateral polygons are rhombi and regular polygonsMathworldPlanetmath such as equilateral trianglesMathworldPlanetmath and squares.

Let T be a triangleMathworldPlanetmath in Euclidean geometryMathworldPlanetmath, hyperbolic geometry, or spherical geometry. Then the following are equivalentMathworldPlanetmathPlanetmathPlanetmathPlanetmath:

If T is allowed to be a polygon that has more than three sides, then the above statement is no longer true in any of the indicated geometriesMathworldPlanetmath.

Below are some pictures of equilateral polygons that are not equiangular.

Title equilateral polygon
Canonical name EquilateralPolygon
Date of creation 2013-03-22 17:12:41
Last modified on 2013-03-22 17:12:41
Owner Wkbj79 (1863)
Last modified by Wkbj79 (1863)
Numerical id 10
Author Wkbj79 (1863)
Entry type Definition
Classification msc 51-00
Synonym equilateral
Related topic BasicPolygon