An hexagonMathworldPlanetmath is a 6-sided polygonMathworldPlanetmathPlanetmath. The most commonly quoted hexagon is a regularPlanetmathPlanetmath (http://planetmath.org/RegularPolygon) hexagon, having congruent sides and congruent interior anglesMathworldPlanetmath. Below is an example of a regular hexagon:

Below are some properties of regular hexagons in Euclidean geometryMathworldPlanetmath:

  • The measure (http://planetmath.org/AngleMeasure) of any interior angle of a regular hexagon is 120.

  • The smallest n for which a regular n-gon has diagonals which are not congruent is n=6. For example, in the regular hexagon below, the diagonal drawn in blue and the one drawn in red are not congruent.

  • The side of a regular hexagon has the same length as the radius of the circle circumscribing it. This fact is illustrated below.

From the last remark, it is easy to see that a regular hexagon is constructible using compass and straightedge.

Title hexagon
Canonical name Hexagon
Date of creation 2013-03-22 12:10:47
Last modified on 2013-03-22 12:10:47
Owner Wkbj79 (1863)
Last modified by Wkbj79 (1863)
Numerical id 16
Author Wkbj79 (1863)
Entry type Definition
Classification msc 51-00
Related topic Polygon
Related topic PentagonMathworldPlanetmath