The Archimedean solids in general have many stellations. Examples of Archimedean solid stellations include the dodecadodecahedron and great icosidodecahedron.
The following table extracted from Webb gives a partial enumeration. In the table, E denotes counts of enantiomorphous stellations and C counts of chiral stellations.
solid | E | C | E | C | E | C |
cuboctahedron | 8 | 0 | 13 | 0 | 21 | 0 |
great rhombicosidodecahedron | 130 | 164 | 226575482 | |||
great rhombicuboctahedron | 32 | 17 | 3254 | 19378 | ||
icosidodecahedron | 32 | 9 | 432 | 415 | 7071672 | |
small rhombicosidodecahedron | 124 | 149 | 133925171 | 298698112224 | ||
small rhombicuboctahedron | 31 | 17 | 3339 | 15488 | ||
snub cube | 0 | 274 | 18 | 299050957758 | ||
snub dodecahedron | 0 | 1940 | 579 | |||
truncated cube | 9 | 0 | 18 | 0 | 45 | 0 |
truncated dodecahedron | 35 | 10 | 600 | 541 | 128761995 | |
truncated icosahedron | 35 | 10 | 579 | 538 | 162782259 | |
truncated octahedron | 9 | 0 | 18 | 0 | 45 | 0 |
truncated tetrahedron | 4 | 0 | 6 | 0 | 10 | 0 |
There are also many Archimedean dual stellations.