7poliga

7poliga is a term used in geometry and related design contexts to denote seven-sided polygons. While not a standard mathematical label, it functions as a shorthand for seven-sided figures, including regular heptagons and irregular seven-sided polygons. In practice, 7poliga covers both the common seven-sided shape and assemblies built from such shapes.

In mathematics, a 7poliga is any polygon with seven sides. The regular member of this family is the regular heptagon, with seven equal sides and seven equal interior angles. The interior angle of a regular 7poliga is 900/7 degrees (about 128.571°) and the exterior angle is 360/7 degrees (about 51.429°). It has 14 diagonals and dihedral symmetry of order 14, denoted as D7.

Construction notes: A regular 7poliga is not constructible with a straightedge and compass in the classical sense, reflecting a known result about heptagons, but approximate constructions are common in education and geometry software. Irregular seven-sided polygons, by contrast, can be formed by arbitrary combinations of side lengths and angles, providing flexibility for design and modeling tasks.

Applications and variations: Seven-sided polygons appear in tiling patterns, art, and computational geometry. Star polygons related to seven points, such as the heptagram shapes {7/2} and {7/3}, generate motifs associated with the 7poliga family. The term also appears in generative design and puzzle design as a thematic geometric shape. See also heptagon, polygon, and heptagram.