Numbers on clock represented by polyhedra

Question

The "1" is replaced with a four-sided object, then the next one could be a five sided object, then six (the cube), but then after that, it is either a five-sided pyramid, or a eight-sided die.

Would you please give me an explanation or a rule for this image? Enlighten me, please!

Answer 1

I do not think there is any particular pattern to these shapes other than increasing "complexity" in some sense (as mentioned in the comments), but to describe exactly which polyhedra are pictured:

$n$	Polyhedron	Vertices	Edges	Faces
$1$	Tetrahedron	4	6	4
$2$	Square pyramid	5	8	5
$3$	Cube	8	12	6
$4$	Octahedron	6	12	8
$5$	Pentagonal trapezohedron	12	20	10
$6$	Cuboctahedron	12	24	14
$7$	Dodecahedron	20	30	12
$8$	Icosahedron	12	30	20
$9$	Icosidodecahedron	30	60	32
$10$	Snub cube	24	60	38
$11$	Rhombicosidodecahedron	60	120	62
$12$	Small stellated dodecahedron	12	30	12

If one considers the small stellated dodecahedron as a simple polyhedron rather than a self-intersecting Kepler-Poinsot polyhedron, it has $32$ vertices, $90$ edges, and $60$ faces.