![]() All these axes meet at a common point, the center of the n-gon. SymmetryĪ regular n-gon features N axes of symmetry. A regular polygon has all its edges equal and all its interior angles equal. The focus comes to the regular polygons, hereafter. A polygon with N vertices can be constructed by a minimum of N-2 triangles Properties of regular n-gons Since the sum of interior angles in a triangle is constant to 180° (or \pi ), the sum of the interior angles in an n-gon, either convex or concave is also constant and equal to: (N-2)\pi. In fact the number of triangles required to construct an n-gon is always the same and equal to N-2. ![]() N-gons with N3, can be constructed as an assembly of triangles. ![]() ![]() The simplest non-degenerate n-gon is the triangle with N=3. ![]()
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