A magic star with n points is a star-shaped polygon with Schläfli symbol {n / 2} in which the natural numbers from 1 to 2n are arranged in each of the vertices and intersections, so that the numbers located in each line of the polygon add the same (magic constant). The magic constant of a magic star with n points is M = 4n + 2.
There are no star-shaped polygons with less than 5 points and the construction of a 5-pointed magic star is impossible.The smallest example of a magic star has 6 points. Here are some examples. Note that for specific values of n, the magic star of 6 points is also known as a magic hexagram and so it is with the rest.
Linkswiki
