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  2. List of polygons - Wikipedia

    en.wikipedia.org/wiki/List_of_polygons

    Individual polygons are named (and sometimes classified) according to the number of sides, combining a Greek-derived numerical prefix with the suffix -gon, e.g. pentagon, dodecagon. The triangle, quadrilateral and nonagon are exceptions, although the regular forms trigon, tetragon, and enneagon are sometimes encountered as well.

  3. Nonagon - Wikipedia

    en.wikipedia.org/wiki/Nonagon

    In geometry, a nonagon (/ ˈ n ɒ n ə ɡ ɒ n /) or enneagon (/ ˈ ɛ n i ə ɡ ɒ n /) is a nine-sided polygon or 9-gon. The name nonagon is a prefix hybrid formation , from Latin ( nonus , "ninth" + gonon ), used equivalently, attested already in the 16th century in French nonogone and in English from the 17th century.

  4. Polygon triangulation - Wikipedia

    en.wikipedia.org/wiki/Polygon_triangulation

    A point-set triangulation is a polygon triangulation of the convex hull of a set of points. A Delaunay triangulation is another way to create a triangulation based on a set of points. The associahedron is a polytope whose vertices correspond to the triangulations of a convex polygon. Polygon triangle covering, in which the triangles may overlap.

  5. Internal and external angles - Wikipedia

    en.wikipedia.org/wiki/Internal_and_external_angles

    In geometry, an angle of a polygon is formed by two adjacent sides. For a simple polygon (non-self-intersecting), regardless of whether it is convex or non-convex, this angle is called an internal angle (or interior angle) if a point within the angle is in the interior of the polygon. A polygon has exactly one internal angle per vertex.

  6. Solution of triangles - Wikipedia

    en.wikipedia.org/wiki/Solution_of_triangles

    For the spherical case, one can first compute the length of side from the point at α to the ship (i.e. the side opposite to β) via the ASA formula ⁡ = ⁡ ⁡ ⁡ (+) + ⁡ ⁡ (), and insert this into the AAS formula for the right subtriangle that contains the angle α and the sides b and d: ⁡ = ⁡ ⁡ = ⁡ + ⁡ ⁡. (The planar ...

  7. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    A triangle is a polygon with three corners and three sides, one of the basic shapes in geometry.The corners, also called vertices, are zero-dimensional points while the sides connecting them, also called edges, are one-dimensional line segments.

  8. Enneagram (geometry) - Wikipedia

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

    The other form connects every fourth point and is represented by the Schläfli symbol {9/4}. There is also a star figure, {9/3} or 3{3}, made from the regular enneagon points but connected as a compound of three equilateral triangles. [3] [4] (If the triangles are alternately interlaced, this results in a Brunnian link.)

  9. Regular polygon - Wikipedia

    en.wikipedia.org/wiki/Regular_polygon

    The sum of the squared distances from the vertices of a regular n-gon to any point on its circumcircle equals 2nR 2 where R is the circumradius. [4]: p. 73 The sum of the squared distances from the midpoints of the sides of a regular n-gon to any point on the circumcircle is 2nR 2 − ⁠ 1 / 4 ⁠ ns 2, where s is the side length and R is the ...