Stars of the Mind's Sky is the title of a series of works exploring the space of regular star polygons.
Here we see 300 stars "in orbit" along concentric circles. The number of points on a star increases with the radius, and stars of a given number of points are spaced evenly along their circle according to "density," or the "jump number" used in generating them.
Algebraically, these represent the subgroups and cosets generated by elements of a cyclic group. They have been colored on a gradient to indicate the number of cosets; a red star signifies a generating element. As a consequence of these structural choices, we may observe congruent stars with increasingly many cosets, shifting their way to blue along central rays through any red star.
Stars of the Mind's Sky by Paul Salomon. Digital print, 2012.