The Archimedean duals in general have many stellations.
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 |
deltoidal hexecontahedron | 83 | 143 | 6446491 | 7139837523 | ||
deltoidal icositetrahedron | 19 | 13 | 86 | 815 | 4060051 | 253807834920 |
disdyakis dodecahedron | 74 | 218 | 14728897413 | |||
disdyakis triacontahedron | 342 | 1691 | ||||
pentagonal hexecontahedron | 0 | 536 | 0 | 0 | ||
pentagonal icositetrahedron | 0 | 69 | 0 | 72621 | 0 | |
pentakis dodecahedron | 93 | 160 | 20687415 | 71092259253 | ||
rhombic dodecahedron | 4 | 0 | 4 | 0 | 5 | 0 |
rhombic triacontahedron | 20 | 9 | 115 | 112 | 84959 | 358748139 |
small triakis octahedron | 19 | 13 | 565 | 2518 | 3645883 | 218040610448 |
tetrakis hexahedron | 18 | 13 | 372 | 1390 | 3642866 | 143379725070 |
triakis icosahedron | 89 | 152 | 8809989 | 13893522674 | ||
triakis tetrahedron | 7 | 2 | 17 | 4 | 52 | 136 |