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# Star Polygons.

Just like we call polygons: Pentagons, Hexagons, Nonagonsa star polyon with five points is called a Pentagram, and a six pointed star polygon is caled a HexagramThe first detailed study of these polygons was performed tbe English mathematician and cleric Thomas Bradwardine, in the 1300's. A star polygon is a figure formed by connecting straight lines at every second point out of regularly spaced points lying on a circumference. These are: tessellations, complex star polygons, linear repeat patterns, arabesques, and Arabic calligraphy. A star polygon connects every vertex of a regular -gon. The number is called the density of the star polygon, and we need only consider to generate all distinct star polygons that can be made from a regular -gon. If and are not relatively prime, the resulting star polygon is called improper and can be "factored" into two sub-polygons. A polygon is a closed geometric figure with sides made up of line segments. Star-shaped polygons are concave polygons that resemble a star.

To draw a polygon or star, use a Left Mouse Drag. A star will be drawn with the center at the starting point of the drag and one vertex at the ending point of the drag. The vertex can be forced to be at a multiple of the Rotation snap angle 15 degrees by default by holding down the Ctrl key during the drag. Formally, a polygon P is star-shaped if there exists a point z such that for each point p of P the segment zp lies entirely within P. The set of all points z with this property that is, the set of points from which all of P is visible is called the kernel of P. If a star-shaped polygon is convex. CorelDRAW lets you draw polygons and two types of stars: perfect and complex. Perfect stars are traditional-looking stars and can have a fill applied to the entire star shape. Complex stars have intersecting sides and produce original results with a fill applied.

Jul 28, 2008 · Yes a star is a polygon because all its sides are straight line segments that only intersect at their endpoints and enclose an area. It is concave because if you extend any of its segments and it intersects the star cutting it into 2 parts, then it is concave. A polygon is said to be convex, if it's all diagonal lie in the interior,otherwise it is called concave polygon. The constellation which does not form a polygon is Libra made up of six stars. It will not form a polygon, because it is not a closed shape.