geometry, polygons are associated into pairs called duals, where the vertices of one correspond to the edges of the other. Regular polygons are self-dual. The...

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...

polyhedron notation Dual polygon Self-dual graph Self-dual polygon Wenninger (1983), "Basic notions about stellation and duality", p. 1. Grünbaum (2003)...

line. In general, a heptagram is any self-intersecting heptagon (7-sided polygon). There are two regular heptagrams, labeled as {7/2} and {7/3}, with the...

determinant of the two vectors' Cartesian coordinates: K = x1y2 – x2y1. The dual polygon of a rhombus is a rectangle: A rhombus has all sides equal, while a rectangle...

circle that is tangent to each of the polygon's sides. The dual polygon of a tangential polygon is a cyclic polygon, which has a circumscribed circle passing...

henagon, is a polygon with one edge and one vertex. It has Schläfli symbol {1}. In Euclidean geometry a monogon is a degenerate polygon because its endpoints...

points). In the case of a polygon, all points on each edge share the same tangent line, and thus map to the same vertex of the dual, while the tangent line...

In geometry, a bigon, digon, or a 2-gon, is a polygon with two sides (edges) and two vertices. Its construction is degenerate in a Euclidean plane because...

reflectional symmetry and rotational symmetry of order 2 (through 180°). The dual polygon of a rectangle is a rhombus, as shown in the table below. The figure...

A megagon or 1,000,000-gon (million-gon) is a circle-like polygon with one million sides (mega-, from the Greek μέγας, meaning "great", being a unit prefix...

apeiros 'infinite, boundless' and γωνία gonia 'angle') or infinite polygon is a polygon with an infinite number of sides. Apeirogons are the rank 2 case...

geometry, a nonagon (/ˈnɒnəɡɒn/) or enneagon (/ˈɛniəɡɒn/) is a nine-sided polygon or 9-gon. The name nonagon is a prefix hybrid formation, from Latin (nonus...

Stearns explains the bizarre performances in his micro sci-fi movie Dual". Polygon. April 24, 2022. Retrieved January 31, 2023. "Mary Elizabeth Winstead:...

to derive a formula for the area of the polygon as a function of its side lengths, even for cyclic polygons that do not contain their circumcenters....

types. There's a degree of freedom in the internal angle, α. {∞α} is the dual polygon of an isogonal skew apeirogon. An isogonal skew apeirogon alternates...

In geometry, a myriagon or 10000-gon is a polygon with 10000 sides. Several philosophers have used the regular myriagon to illustrate issues regarding...

In geometry, an octagram is an eight-angled star polygon. The name octagram combine a Greek numeral prefix, octa-, with the Greek suffix -gram. The -gram...

geometry, a tridecagon or triskaidecagon or 13-gon is a thirteen-sided polygon. A regular tridecagon is represented by Schläfli symbol {13}. The measure...

R={\tfrac {1}{2}}{\sqrt {a^{2}+c^{2}}}} . Kites and isosceles trapezoids are dual to each other, meaning that there is a correspondence between them that reverses...

In geometry, a chiliagon (/ˈkɪliəɡɒn/) or 1,000-gon is a polygon with 1,000 sides. Philosophers commonly refer to chiliagons to illustrate ideas about...

geometry, a tetradecagon or tetrakaidecagon or 14-gon is a fourteen-sided polygon. A regular tetradecagon has Schläfli symbol {14} and can be constructed...

In geometry, a 65537-gon is a polygon with 65,537 (216 + 1) sides. The sum of the interior angles of any non–self-intersecting 65537-gon is 11796300°...

(from the Greek δέκα déka and γωνία gonía, "ten angles") is a ten-sided polygon or 10-gon. The total sum of the interior angles of a simple decagon is...

hendecagon (also undecagon or endecagon) or 11-gon is an eleven-sided polygon. (The name hendecagon, from Greek hendeka "eleven" and –gon "corner", is...

In computational geometry, polygon triangulation is the partition of a polygonal area (simple polygon) P into a set of triangles, i.e., finding a set of...

geometry, an octadecagon (or octakaidecagon) or 18-gon is an eighteen-sided polygon. A regular octadecagon has a Schläfli symbol {18} and can be constructed...

an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon. The sum of any icositetragon's interior angles is 3960 degrees. The regular...

compound#Compounds with duals. Deeper truncations of the regular pentagon and pentagram can produce intermediate star polygon forms with ten equally spaced...

In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon's interior angles is 3240 degrees. The regular icosagon has Schläfli...