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Dual polygon information


polygons that have same line of symmetry are dual polygons

In geometry, polygons are associated into pairs called duals, where the vertices of one correspond to the edges of the other.

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Dual polygon

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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...

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Regular polygon

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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...

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Monogon

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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...

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Rhombus

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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...

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Octagram

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

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Dual polyhedron

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

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Digon

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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...

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Tangential polygon

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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...

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Megagon

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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...

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Rectangle

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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...

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Riley Stearns

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

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Heptagram

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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...

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Apeirogon

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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...

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Dual curve

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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...

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Octagon

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Ancient Greek ὀκτάγωνον (oktágōnon) 'eight angles') is an eight-sided polygon or 8-gon. A regular octagon has Schläfli symbol {8} and can also be constructed...

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Hexagon

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hexagons as petrie polygons. The regular skew hexagon is the Petrie polygon for these higher dimensional regular, uniform and dual polyhedra and polytopes...

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Tridecagon

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

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Antiprism

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them comes from two dual parts of the polyhedra: a vertex and a dual polygon, or two dual edges. Every three-dimensional convex polyhedron is combinatorially...

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Icosagon

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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...

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Dodecagon

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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...

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Isosceles triangle

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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....

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Hexadecagon

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hexadecagon (sometimes called a hexakaidecagon or 16-gon) is a sixteen-sided polygon. A regular hexadecagon is a hexadecagon in which all angles are equal and...

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Tetradecagon

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

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Myriagon

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

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Chiliagon

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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...

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Icositetragon

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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...

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Petrie polygon

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the facets. The Petrie polygon of a regular polygon is the regular polygon itself; that of a regular polyhedron is a skew polygon such that every two consecutive...

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Square

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square. Because it is a regular polygon, a square is the quadrilateral of least perimeter enclosing a given area. Dually, a square is the quadrilateral...

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Pentadecagon

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geometry, a pentadecagon or pentakaidecagon or 15-gon is a fifteen-sided polygon. A regular pentadecagon is represented by Schläfli symbol {15}. A regular...

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