supernova is a regular figure with 12 points and 24 equal sides.
The supernova is made up of 12 triangles, 6 six-sided figures that
look like arrowheads, and 6 ten-sided figures that look something
like a head and shoulders.
Since there are 24 pieces in all, each of the small stars must be
made up of 8 pieces. Probably, therefore, there will be 4 triangles,
2 arrowheads, and 2 "head and shoulders" shapes in each small star.