Three separate programs were used to make this: Geometer’s Sketchpad, MS-Paint, and Stella 4d. The latter program was written by a friend of mine, and may be bought (or tried for free) here: www.software3d.com/stella.php.
Each of the turquoise images contains 32 circles, and each is on a face of a single rotating rhombic dodecahedron. That polyhedron, though, is obscured by having black faces against a black background, with edges and vertices not shown. You can see no more than one of an entire rhombic face at a time, and that happens only when the “lighting” provided by Stella 4d makes it appear slightly illuminated.