Файл:Academ Stellated dodecagon.svg

To construct the stellation, we choose a vertex of the given polygon as start point:  point A,  and then a rotation sense around the center of the polygon: anticlockwise on the image.  In other words, we choose a ray (a half-line) with origin A,  containing a side of the convex polygon.  Running along this ray from point A,  our pencil stops at the fifth intersection with a black line:  point F,  first vertex of the star.  And then from point F,  our pencil runs along the new black line up to a second vertex of the convex polygon:  point B,  start point of the second step.  The process consists of twelve steps, repeated until we come back to point A,  after passing through all the intersection points:  12 × 5 = 60 points.  To draw attention on the intersection points of the first steps, there are two times five bicolour disks on the intersections.

If an integer lower than 5 replaces 5 in the process, a convex regular polygon is constructed, not a stellation.  Each side of the result contains a side of the initial polygon, of course.  With 4 instead of 5, we construct an equilateral triangle.  With 3 instead of 5 we get a square, with 2 a regular hexagon.  We construct nothing but the initial polygon if we replace 5 with 1.  In Schläfli's notation, where the first integer is the number of sides of the regular polygon, the results are denoted by {12;5} for the stellation, {3;1}, {4;1}, {6;1}, {12;1} for the other constructions.