Braiding is a complex structure or a pattern formatting process by intertwining three or more strands of flexible material such as textile fiber wire. it is commonly used to form textile products, braided wire or composite preform tubes. braids are created on braiding machines, which are important industrial machine with a long and interesting history. various technologies are available in market to fabricate strings in a different format. the machine basically braids three strings into one threaded braid as brunnian braid. braiding the brunnian braid is basically an art of dynamic motion of strings in euclidean topological space, r^3. here three strings are displaced on bernoulli lemniscate in a unique manner so that the strings get a pattern. dynamic simulation is used to validate the design of the mechanism. the spatial dynamics of thread sequence have been computed to find a simple and innovative drive mechanism for braiding complex pattern. dynamic degree-of-freedoms (dofs) of strings has been holonomically constrained by cassini oval function in simulation and spatially driven by centrifugal force to move the strings over a 2-manifold surface. it presents the essence of a new mechanism, and the result reflects the correctness of concept and allows one to indicate technological possibilities of the working principle. a phase model of spool position versus yarn displacement with a thresher mechanism is presented. the drive system is first modelled in mathematics, and later, more accurately in a multi-degree-of-freedom dynamic model. correlated experiment and simulation response validate the mathematical phase model, for use as a designer’s tool.