H. G. Muller wrote on Wed, Nov 11, 2020 09:53 PM UTC:
I am pretty sure I have seen a variant here that used such 'triple-barrel' sliders. I think it was by Betza.
In the 'more-than-crazy' limit, such pieces become 'hook movers'. These are known from the large Shogi variants in the flavors that turn a 90-degree corner. (Orthogonal: Hook Mover; diagonal: Capricorn & Long-Nosed Goblin. The latter has an additional Wazir move to break the color-binding.) But this is not qualitatively different from turning a 45-degree corner in an arbitrary point along the trajectory. Like the Hook Mover the 45-degree benders cover the entire (empty) board, but they can only reach each square through a single path. While the Hook mover had two paths to most squares. OTOH, the path to a given square is shorter than the paths of the Hook Mover. So I would not know which piece is stronger. The compound of B-then-R and R-then-B (plus R plus B) would definitely be stronger than the Hook Mover.
I am pretty sure I have seen a variant here that used such 'triple-barrel' sliders. I think it was by Betza.
In the 'more-than-crazy' limit, such pieces become 'hook movers'. These are known from the large Shogi variants in the flavors that turn a 90-degree corner. (Orthogonal: Hook Mover; diagonal: Capricorn & Long-Nosed Goblin. The latter has an additional Wazir move to break the color-binding.) But this is not qualitatively different from turning a 45-degree corner in an arbitrary point along the trajectory. Like the Hook Mover the 45-degree benders cover the entire (empty) board, but they can only reach each square through a single path. While the Hook mover had two paths to most squares. OTOH, the path to a given square is shorter than the paths of the Hook Mover. So I would not know which piece is stronger. The compound of B-then-R and R-then-B (plus R plus B) would definitely be stronger than the Hook Mover.