General formulae are introduced for counting the number of different isomers derived from linearly connecting n carboranes CB 11H 12q (s), with q and s representing charge and spin. Interconnections are via the C-atom or the B-atom para to the C-atom. The mathematical simplicity of the argument is emphasized, and the possibility of having different numbers of unpaired electrons per carborane cage is noted to offer a substantial diversity of magnetic properties. 2012 Springer-Verlag.
