ekvinoktene

Ekvinoktene is a term used in discussions of geometric symmetry to denote the configuration formed by a set of n points placed on a circle at equal angular intervals, i.e., the vertex set of a regular n-gon. In this sense, a ekvinoktene for a given n is invariant under the dihedral group D_n, including rotations by 360/n degrees and reflections across axes through the center. The term is informal and not widely standardized; it appears mainly in niche mathematical blogs and theoretical notes.

Origin and usage: The coinage seems to have emerged in late 20th or early 21st century online discussions as an alternative phrasing to emphasize equal spacing and symmetry in a single term. Some authors prefer ekvinoktene to the conventional label “regular n-gon vertex set” or “regular polygon vertex set.”

Properties: For any integer n≥3, the ekvinoktene consists of n distinct points on a circle arranged at equal angular steps. The arrangement has full dihedral symmetry, with n rotational symmetries and n reflections. Adjacent distances are equal, and the polygon is convex. The concept is often used to illustrate symmetry operations, circular Fourier analysis, and pattern rendering in computer graphics.

Examples: Ekvinoktene with n=3 yields an equilateral triangle; n=4 yields a square; n=6 yields a regular hexagon.

See also: Regular polygon; Circle; Symmetry; Dihedral group.