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  2. n-flake - Wikipedia

    en.wikipedia.org/wiki/N-flake

    n-flakes (without central polygons) from sides 3 to 10 and orders 0 to 4 [7] (click or tap to enlarge). n-flakes (with central polygons) from sides 3 to 10 and orders 0 to 4 [7] (click or tap to enlarge). n-flakes of higher polygons also exist, though they are less common and usually do not have a central polygon.

  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. Special right triangle - Wikipedia

    en.wikipedia.org/wiki/Special_right_triangle

    A "side-based" right triangle is one in which the lengths of the sides form ratios of whole numbers, such as 3 : 4 : 5, or of other special numbers such as the golden ratio. Knowing the relationships of the angles or ratios of sides of these special right triangles allows one to quickly calculate various lengths in geometric problems without ...

  5. Right triangle - Wikipedia

    en.wikipedia.org/wiki/Right_triangle

    A right triangle ABC with its right angle at C, hypotenuse c, and legs a and b,. A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular, forming a right angle (1 ⁄ 4 turn or 90 degrees).

  6. Polygon triangulation - Wikipedia

    en.wikipedia.org/wiki/Polygon_triangulation

    In computational geometry, polygon triangulation is the partition of a polygonal area (simple polygon) P into a set of triangles, [1] i.e., finding a set of triangles with pairwise non-intersecting interiors whose union is P. Triangulations may be viewed as special cases of planar straight-line graphs.

  7. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    Every acute triangle has three inscribed squares (squares in its interior such that all four of a square's vertices lie on a side of the triangle, so two of them lie on the same side and hence one side of the square coincides with part of a side of the triangle). In a right triangle, two of the squares coincide and have a vertex at the triangle ...

  8. Internal and external angles - Wikipedia

    en.wikipedia.org/wiki/Internal_and_external_angles

    The sum of all the internal angles of a simple polygon is π(n−2) radians or 180(n–2) degrees, where n is the number of sides. The formula can be proved by using mathematical induction: starting with a triangle, for which the angle sum is 180°, then replacing one side with two sides connected at another vertex, and so on.

  9. Solution of triangles - Wikipedia

    en.wikipedia.org/wiki/Solution_of_triangles

    We denote further D = ⁠ c / b ⁠ sin β (the equation's right side). There are four possible cases: If D > 1, no such triangle exists because the side b does not reach line BC. For the same reason a solution does not exist if the angle β ≥ 90° and b ≤ c. If D = 1, a unique solution exists: γ = 90°, i.e., the triangle is right-angled.