Kinematic chains with mobility requirements that are suitable for appl
ications such as dextrous robot hands can be found wing a process call
ed number synthesis. This process, however; enumerates many kinematic
chains, some of which are more suitable than others for practical appl
ications. Here,ve examine those characteristics of kinematic chains wh
ich make for practical and robust dextrous robot hands. Eliminating th
e chains that possess undesirable characteristics while retaining thos
e with desirable features vastly reduces the list of candidates, leavi
ng only the most suitable chains. Number synthesis produces kinematic
chains independent of specific joint and link geometry; a process for
assigning essential di,dimensions to a kinematic chain is discussed.