• 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...
    5 KB (543 words) - 04:11, 12 March 2024
  • 2w+2\ell .} An equilateral polygon is a polygon which has all sides of the same length (for example, a rhombus is a 4-sided equilateral polygon). To calculate...
    11 KB (1,261 words) - 03:07, 15 May 2023
  • Thumbnail for Equilateral triangle
    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...
    28 KB (3,717 words) - 11:43, 13 April 2024
  • 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...
    30 KB (3,201 words) - 23:26, 14 April 2024
  • Thumbnail for Equiangular polygon
    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...
    30 KB (2,634 words) - 15:27, 17 August 2023
  • 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...
    37 KB (4,287 words) - 22:52, 20 March 2024
  • Concave polygon Constructible polygon Convex polygon Cyclic polygon Equiangular polygon Equilateral polygon Penrose tile Polyform Regular polygon Simple...
    5 KB (412 words) - 15:37, 5 April 2024
  • Thumbnail for Hexagon
    Hexagon (redirect from Equilateral hexagon)
    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...
    30 KB (2,677 words) - 18:43, 13 February 2024
  • Thumbnail for Equilateral pentagon
    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...
    9 KB (1,079 words) - 21:12, 9 September 2022
  • An isotoxal polygon is an even-sided i.e. equilateral polygon, but not all equilateral polygons are isotoxal. The duals of isotoxal polygons are isogonal...
    11 KB (868 words) - 23:59, 21 April 2024
  • Thumbnail for Star polygon
    polygon reflects the resemblance of these shapes to the diffraction spikes of real stars. A regular star polygon is a self-intersecting, equilateral,...
    17 KB (1,624 words) - 01:11, 16 April 2024
  • Equilateral can refer to: Equilateral polygon, in geometry Equilateral triangle, in geometry Equilateral dimension of a metric space, in mathematics Equilateral...
    375 bytes (77 words) - 20:26, 21 November 2013
  • Thumbnail for Rhombus
    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...
    15 KB (1,715 words) - 07:20, 10 April 2024
  • Thumbnail for Apothem
    Apothem (category Polygons)
    Regular polygons are the only polygons that have apothems. Because of this, all the apothems in a polygon will be congruent. For an equilateral triangle...
    5 KB (589 words) - 17:23, 17 February 2024
  • Thumbnail for Reuleaux polygon
    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...
    6 KB (666 words) - 23:04, 28 November 2022
  • Thumbnail for Deltahedron
    whose faces are all equilateral triangles. The name is taken from the Greek upper case delta (Δ), which has the shape of an equilateral triangle. There are...
    14 KB (552 words) - 13:53, 13 April 2024
  • empty Schläfli symbol {}. Polygon Equilateral Cyclic polygon Convex polygon Star polygon Pentagram Regular polygon Equilateral triangle Simplex Square Cross-polytope...
    45 KB (3,536 words) - 10:49, 17 January 2024
  • Thumbnail for Euclidean tilings by convex regular polygons
    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...
    31 KB (1,987 words) - 16:50, 8 March 2024
  • Thumbnail for Reuleaux triangle
    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...
    56 KB (6,476 words) - 01:03, 23 April 2024
  • Thumbnail for Square pyramid
    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...
    23 KB (2,454 words) - 03:11, 13 March 2024
  • given cube; a square equal in area to that of a given circle; an equilateral polygon with an arbitrary number of sides. For more than 2,000 years unsuccessful...
    30 KB (3,963 words) - 21:59, 16 April 2024
  • Thumbnail for Area
    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...
    43 KB (5,316 words) - 20:07, 14 April 2024
  • Thumbnail for Constructible polygon
    In mathematics, a constructible polygon is a regular polygon that can be constructed with compass and straightedge. For example, a regular pentagon is...
    16 KB (2,149 words) - 16:06, 4 April 2024
  • Thumbnail for Pentagon
    Pentagon (category Constructible polygons)
    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...
    23 KB (2,969 words) - 13:24, 25 April 2024
  • Thumbnail for Megagon
    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...
    8 KB (826 words) - 12:16, 23 April 2024
  • Thumbnail for Dodecagon
    Dodecagon (category Constructible polygons)
    In geometry, a dodecagon, or 12-gon, is any twelve-sided polygon. A regular dodecagon is a figure with sides of the same length and internal angles of...
    16 KB (1,254 words) - 13:44, 8 March 2024
  • Thumbnail for Reinhardt polygon
    Reinhardt polygon is an equilateral polygon inscribed in a Reuleaux polygon. As in the regular polygons, each vertex of a Reinhardt polygon participates...
    9 KB (1,107 words) - 18:26, 12 September 2022
  • Thumbnail for Four-vertex theorem
    Four-vertex theorem (category Polygons)
    for convex and non-convex polygons. Here are some of them: (Bilinski) The sequence of angles of a convex equilateral polygon with at least four vertices...
    12 KB (1,499 words) - 19:59, 19 November 2022
  • are degenerate. For example, right triangles, isosceles triangles and equilateral triangles are non-generic and non-degenerate. In fact, degenerate cases...
    9 KB (1,186 words) - 12:16, 9 April 2024
  • Thumbnail for Concyclic points
    Villiers, Michael (March 2011). "95.14 Equiangular cyclic and equilateral circumscribed polygons". The Mathematical Gazette. 95 (532): 102–107. doi:10.1017/S0025557200002461...
    19 KB (2,510 words) - 22:50, 10 April 2024