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This lifting method is based on the circular layout of graph drawing methods. Circular layout typically has problems that nodes are too densely packed and the connectivity between the nodes is not reflected in the relative positions of the nodes.
Our SpinLifting method improves on this: in breadth-first visit manner, a central point is first identified, then the neighbours of that point are placed on a circle around the point in counterclockwise order, and for each neighbouring point that has been placed, the neighbours of that point are then placed in the same way, on a circle around that point. This process is repeated until all points have been placed in the coordinate system. If a point has already been assigned coordinates, but the algorithm encounters it again, this point will be skipped (no adjustment is made to the assigned coordinates).
For details of how it works please see tutorial: spin_lifting.ipynb