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  2. Dual polygon - Wikipedia

    en.wikipedia.org/wiki/Dual_polygon

    [citation needed] Further, congruent sides in the original polygon yields congruent angles in the dual, and conversely. For example, the dual of a highly acute isosceles triangle is an obtuse isosceles triangle. In the Dorman Luke construction, each face of a dual polyhedron is the dual polygon of the corresponding vertex figure.

  3. Icositetragon - Wikipedia

    en.wikipedia.org/wiki/Icositetragon

    A skew zig-zag icositetragon has vertices alternating between two parallel planes. A regular skew icositetragon is vertex-transitive with equal edge lengths. In 3-dimensions it will be a zig-zag skew icositetragon and can be seen in the vertices and side edges of a dodecagonal antiprism with the same D 12d , [2 + ,24] symmetry, order 48.

  4. List of polygons - Wikipedia

    en.wikipedia.org/wiki/List_of_polygons

    A pentagon is a five-sided polygon. A regular pentagon has 5 equal edges and 5 equal angles. In geometry, a polygon is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain.

  5. Digon - Wikipedia

    en.wikipedia.org/wiki/Digon

    Any straight-sided digon is regular even though it is degenerate, because its two edges are the same length and its two angles are equal (both being zero degrees). As such, the regular digon is a constructible polygon. [3] Some definitions of a polygon do not consider the digon to be a proper polygon because of its degeneracy in the Euclidean ...

  6. Cupola (geometry) - Wikipedia

    en.wikipedia.org/wiki/Cupola_(geometry)

    In that case, the top is a regular n-gon, while the base is either a regular 2n-gon or a 2n-gon which has two different side lengths alternating and the same angles as a regular 2n-gon. It is convenient to fix the coordinate system so that the base lies in the xy-plane, with the top in a plane parallel to the xy-plane.

  7. Deltoidal hexecontahedron - Wikipedia

    en.wikipedia.org/wiki/Deltoidal_hexecontahedron

    The opposite angle, between long edges, is arccos(⁠-5+9 √ 5 / 40 ⁠)≈67.783011547435° . The other two angles of each face, between a short and a long edge each, are both equal to arccos(⁠ 5-2 √ 5 / 10 ⁠)≈86.97415549104°. The dihedral angle between any pair of adjacent faces is arccos(⁠-19-8 √ 5 / 41 ⁠)≈154.12136312578°.

  8. Rectilinear polygon - Wikipedia

    en.wikipedia.org/wiki/Rectilinear_polygon

    A rectilinear polygon is a polygon all of whose sides meet at right angles. Thus the interior angle at each vertex is either 90° or 270°. Rectilinear polygons are a special case of isothetic polygons. In many cases another definition is preferable: a rectilinear polygon is a polygon with sides parallel to the axes of Cartesian coordinates ...

  9. Kite (geometry) - Wikipedia

    en.wikipedia.org/wiki/Kite_(geometry)

    Every kite is an orthodiagonal quadrilateral, meaning that its two diagonals are at right angles to each other. Moreover, one of the two diagonals (the symmetry axis) is the perpendicular bisector of the other, and is also the angle bisector of the two angles it meets. [1] Because of its symmetry, the other two angles of the kite must be equal.