Abstract
This contribution presents further properties of screw systems generated from the sum of subalgebras of the Lie algebra, se(3), of the Euclidean group, SE(3). In particular, it is shown that they exhibit the property of having a locally constant rank. This property has been used, without proper formalization, in the design of parallel platforms. In addition, since the order of screws in a screw system — and therefore the order of their corresponding kinematic pairs within the kinematic chain that realize the screw system — is shown to be decisive for fulfilling the property of having a locally constant rank, the name screw systems may be not at all appropriate.
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