INSpiREzine Stars! | Page 10

STAR: A GEOMETRIC SHAPE

By geometrical definition, a star is a regular polygon: simple or complex.

Remember...

Polygon - any two-dimensional shape formed with straight lines and is closed.

REGULAR POLYGON - a polygon whose sides are all the same length (equilateral)

and whose angles are all the same (equiangular).

A SIMPLE POLYGON - an enclosed shape consisting of straight, non-intersecting

lines.

A COMPLEX POLYGON - an enclosed shape consisting of straight lines that

intersect.

A CONVEX POLYGON - defined as a polygon with all its interior angles less than

180°; otherwise, the polygon is CONCAVE.

STAR POLYGONS

A "regular star polygon" is therefore, a self-intersecting, equilateral

equiangular polygon. A regular star polygon is denoted by its Schläfli symbol

{p/q}, where p = the amount of vertices / sides and q = the adjointment interval..

WHAT IS A