Icosahedron, 12 icosahedral cells.  
Icosahedron, 42 tetrahedral cells.  
Triakistetrahedron (dual to truncated tetrahedron), 11 tetrahedral cells.  
Rhombic triacontahedron (dual to icosidodecahedron), 37 icosahedral cells. 

Deltoidal (kitoidal?) hexecontahedron (dual to rhombicosidodecahedron) only first 15 layers of total 28, 369 icosahedral cells.  
Small stellated truncated dodecahedron , 21 icosahedral cells. 
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