The BH moiety is isoelectronic with C. We have studied the stability o
f the (BH)(60) analogue of the C-60 fullerene as well as the dual-stru
cture (BH)(32) icosahedron, both of them being putative structures, by
performing local-density-functional electronic calculations. To aid i
n our analysis, we have also studied other homologues of these systems
. We find that the latter, i.e., the dual structure, is the more stabl
e although the former is as stable as one of the latter's lower homolo
gues. Boron hydrides, it seems, naturally form the dual structures use
d in algorithmic optimization of complex fullerene systems. Fully rela
xed geometries are reported as well as electron affinities and effecti
ve Hubbard U parameters. These systems form very stable anions and we
conclude that a search for BH analogues of the C-60 alkali-metal supec
onductors might prove very fruitful.