Ga. Bandurkin et al., Barium and rare-earth fluoride coordination polyhedra in relation to the icosahedron fragmentation matrix, RUSS J IN C, 46(9), 2001, pp. 1385-1397
The geometrical model of a stepwise fragmentation of the icosahedron is sug
gested. The process is described by the stepwise fragmentation matrix that
specifies the trajectories of polyhedral transformations. The validity of t
he model is verified by the example of [BaFn] and [LnF(n)] polyhedra in the
structures of barium and rare-earth fluorides.