An n-pointed magic star is a star polygon with Schläfli symbol {n/2}[1] in which numbers are placed at each of the n vertices and n intersections, such that the four numbers on each line sum to the same magic constant.
[2] A normal magic star contains the integers from 1 to 2n with no numbers repeated.
No star polygons with fewer than 5 points exist, and the construction of a normal 5-pointed magic star turns out to be impossible.
It can be proven that there exists no 4-pointed star that will satisfy the conditions here.
The smallest examples of normal magic stars are therefore 6-pointed.