Sunday, March 08, 2015

[zwvwluuf] Hook

Large board shogi variants have pieces that hook move: first moving one direction then another in the same move.

On larger and larger chess boards, the proportion of squares reachable in a single move (from say, an otherwise empty board) by a normal ranging piece (e.g., queen) asymptotically decreases to zero.  However, that proportion can remain nonnegligible, often 50% or 100% for a hook mover.

The two simplest hook movers move one direction orthogonally or diagonally, then turn exactly 90 degrees.  More complicated hook movers could sequentially meld any pair of pieces.

No comments :