Star polygons in art and culture Star polygons in art and culture Star polygons and polygonal compounds are the basis for numerous figures of significance in arts and culture. The figure may be the border or interior of the polygon, or one or more closed polygonal paths that include all of the border and also have some legs crossing the interior. Impressions of astronomical stars provide the term, but specific uses may exploit the connection or not. Stars often represent the unity of states within a country when they are used as a part of the flag. The five-pointed star, if drawn with points of equal
Euclidean tilings by convex regular polygons them with 4 vertex types, 284 of them with 3 vertex types, and 100 with 2 vertex types. Convex regular polygons can also form plane tilings that are not edge-to-edge. Such tilings can be considered edge-to-edge as nonregular polygons with adjacent colinear edges. There are seven families of isogonal each family having a real-valued parameter determining the overlap between sides of adjacent tiles or the ratio between the edge lengths of different tiles. Two of the families are generated from shifted square, either progressive or zig-zagging positions. Grünbaum and Shephard call these tilings "uniform" although it contradicts Coxeter's definition for