Charles Gilman, rather predictably, is way ahead of us here. The helical Rook, Bishop, and Queen are in M&B09 as respectively Proselyte, Brueghel, and Halcyon. The slip‐ pieces you described in your other comment are the non‐crooked forms of these, respectively the Panda, Bear, and Harlequin (in M&B06 — naturally ‐06 has names for the ski‐sliders too: Picket (after Tamerlane), Pocket, and Fagin)
Edit: just realised you said up to two steps between turns; that may well be new, albeit closely related to the M&B09 pieces
Charles Gilman, rather predictably, is way ahead of us here. The helical Rook, Bishop, and Queen are in M&B09 as respectively Proselyte, Brueghel, and Halcyon. The slip‐ pieces you described in your other comment are the non‐crooked forms of these, respectively the Panda, Bear, and Harlequin (in M&B06 — naturally ‐06 has names for the ski‐sliders too: Picket (after Tamerlane), Pocket, and Fagin)
Edit: just realised you said up to two steps between turns; that may well be new, albeit closely related to the M&B09 pieces