This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. Find sources: "Equilateral polygon" – news · newspapers · books · scholar · JSTOR(August 2012) (Learn how and when to remove this message)
In geometry, an equilateral polygon is a polygon which has all sides of the same length. Except in the triangle case, an equilateral polygon does not need to also be equiangular (have all angles equal), but if it does then it is a regular polygon. If the number of sides is at least five, an equilateral polygon does not need to be a convex polygon: it could be concave or even self-intersecting.
and 25 Related for: Equilateral polygon information
geometry, an equilateralpolygon is a polygon which has all sides of the same length. Except in the triangle case, an equilateralpolygon does not need...
2w+2\ell .} An equilateralpolygon is a polygon which has all sides of the same length (for example, a rhombus is a 4-sided equilateralpolygon). To calculate...
is also a regular polygon, so it is also referred to as a regular triangle. Denoting the common length of the sides of the equilateral triangle as a {\displaystyle...
polygon is a polygon that is direct equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may...
The polygon is also cyclic and equiangular. Isotoxal or edge-transitive: all sides lie within the same symmetry orbit. The polygon is also equilateral and...
centroids of opposite triangles form another equilateral triangle.: Thm. 1 A skew hexagon is a skew polygon with six vertices and edges but not existing...
equiangular polygon is a polygon whose vertex angles are equal. If the lengths of the sides are also equal (that is, if it is also equilateral) then it is...
constructed from an equilateral triangle by connecting each two vertices by a circular arc centered on the third vertex, and Reuleaux polygons can be formed...
An isotoxal polygon is an even-sided i.e. equilateralpolygon, but not all equilateralpolygons are isotoxal. The duals of isotoxal polygons are isogonal...
In geometry, an equilateral pentagon is a polygon in the Euclidean plane with five sides of equal length. Its five vertex angles can take a range of sets...
polygon reflects the resemblance of these shapes to the diffraction spikes of real stars. A regular star polygon is a self-intersecting, equilateral,...
Reinhardt polygon is an equilateralpolygon inscribed in a Reuleaux polygon. As in the regular polygons, each vertex of a Reinhardt polygon participates...
constructed either directly from three circles, or by rounding the sides of an equilateral triangle. The three-circle construction may be performed with a compass...
superscript 2), each with 6 equilateral 3-sided polygons (triangles). With a final vertex 34.6, 4 more contiguous equilateral triangles and a single regular...
four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. The...
given cube; a square equal in area to that of a given circle; an equilateralpolygon with an arbitrary number of sides. For more than 2,000 years unsuccessful...
In mathematics, a constructible polygon is a regular polygon that can be constructed with compass and straightedge. For example, a regular pentagon is...
the sides of the two pentagons are in the golden ratio. An equilateral pentagon is a polygon with five sides of equal length. However, its five internal...
with a given perimeter is equilateral. The triangle of largest area of all those inscribed in a given circle is equilateral; and the triangle of smallest...
A megagon or 1,000,000-gon (million-gon) is a polygon with one million sides (mega-, from the Greek μέγας, meaning "great", being a unit prefix denoting...
equal length, the four triangles are equilateral, and the pyramid's faces are all regular polygons, it is an equilateral square pyramid. The dihedral angles...
configuration of three or more equal masses, set at the points of an equilateralpolygon and given an equal angular velocity about their center of mass. Klemperer...
polygons. As a consequence, any triangulation with nondegenerate triangles may be used to define the circumcenter of mass. For an equilateralpolygon...