Difference between revisions of "Regular polygon"
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| − | A '''regular polygon''' is a [[polygon]] in which all [[edge]]s have the same length and all [[angle]]s have equal [[measure]]. The regular [[triangle]]s are the [[equilateral triangle]]s. The regular [[quadrilateral]]s are the [[square (geometry) | squares]]. | + | A '''regular polygon''' is a [[polygon]] in which all [[edge]]s have the same length and all [[angle]]s have equal [[measure]]s. The regular [[triangle]]s are the [[equilateral triangle]]s. The regular [[quadrilateral]]s are the [[square (geometry) | squares]]. |
Note that for triangles, it is enough to assert either that all angles are equal or that all sides are equal, but this is not true for polygons of more sides. For instance, there are many [[rhombus]]es which have all equal sides but not all equal angles and many [[rectangle]]s which have all equal angles but not all equal sides. | Note that for triangles, it is enough to assert either that all angles are equal or that all sides are equal, but this is not true for polygons of more sides. For instance, there are many [[rhombus]]es which have all equal sides but not all equal angles and many [[rectangle]]s which have all equal angles but not all equal sides. | ||
Revision as of 22:10, 30 October 2006
This article is a stub. Help us out by expanding it.
A regular polygon is a polygon in which all edges have the same length and all angles have equal measures. The regular triangles are the equilateral triangles. The regular quadrilaterals are the squares.
Note that for triangles, it is enough to assert either that all angles are equal or that all sides are equal, but this is not true for polygons of more sides. For instance, there are many rhombuses which have all equal sides but not all equal angles and many rectangles which have all equal angles but not all equal sides.
The closest 3D equivalent to the regular polygon is the Platonic solid.
