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  2. 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.

  3. List of two-dimensional geometric shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_two-dimensional...

    Megagon - 1,000,000 sides; Star polygon – there are multiple types of stars Pentagram - star polygon with 5 sides; Hexagram – star polygon with 6 sides Star of David (example) Heptagram – star polygon with 7 sides; Octagram – star polygon with 8 sides Star of Lakshmi (example) Enneagram - star polygon with 9 sides; Decagram - star ...

  4. Golygon - Wikipedia

    en.wikipedia.org/wiki/Golygon

    The smallest golygon has 8 sides. It is the only solution with fewer than 16 sides. It contains two concave corners, and fits on an 8×10 grid. It is also a spirolateral, 8 90° 1,5. A golygon, or more generally a serial isogon of 90°, is any polygon with all right angles (a rectilinear polygon) whose sides are consecutive integer lengths.

  5. Regular polygon - Wikipedia

    en.wikipedia.org/wiki/Regular_polygon

    The symmetry group of an n-sided regular polygon is the dihedral group D n (of order 2n): D 2, D 3, D 4, ... It consists of the rotations in C n, together with reflection symmetry in n axes that pass through the center. If n is even then half of these axes pass through two opposite vertices, and the other half through the midpoint of opposite ...

  6. Polygon - Wikipedia

    en.wikipedia.org/wiki/Polygon

    Interior angle – The sum of the interior angles of a simple n-gon is (n2) × π radians or (n2) × 180 degrees. This is because any simple n -gon ( having n sides ) can be considered to be made up of ( n2) triangles, each of which has an angle sum of π radians or 180 degrees.

  7. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    In a parallelogram, where both pairs of opposite sides and angles are equal, this formula reduces to = ⁡. Alternatively, we can write the area in terms of the sides and the intersection angle θ of the diagonals, as long as θ is not 90°: [18]

  8. Diagonal - Wikipedia

    en.wikipedia.org/wiki/Diagonal

    For any convex polygon, all the diagonals are inside the polygon, but for re-entrant polygons, some diagonals are outside of the polygon. Any n -sided polygon ( n ≥ 3), convex or concave , has n ( n − 3 ) 2 {\displaystyle {\tfrac {n(n-3)}{2}}} total diagonals, as each vertex has diagonals to all other vertices except itself and the two ...

  9. Digon - Wikipedia

    en.wikipedia.org/wiki/Digon

    A regular digon has both angles equal and both sides equal and is represented by Schläfli symbol {2}. It may be constructed on a sphere as a pair of 180 degree arcs connecting antipodal points, when it forms a lune. The digon is the simplest abstract polytope of rank 2. A truncated digon, t{2} is a square, {4}. An alternated digon, h{2} is a ...