George Duke wrote on Wed, Feb 13, 2008 05:54 PM UTC:
BLACK TO MOVE and MATE IN ONE. There are four immediate solutions. Four ways to do it, so White can never move again. First,
'1. Priest a7-b6! Checkmate' (as explained). Now Priest is key to the
other solutions also. ''Continual diagonal ninety-degree one steps''
describes Priest's move. Therefore, the second obvious solution is '1.
Rose-i6xj4, capturing Queen, Checkmate.' Third solution is '1.
Rose-i6xf3, capturing Bishop, Checkmate.' Fourth solution is '1. Priest
a7-d4' Checkmate.' Briefly, Priest has pathway 'a7(-b6-a5-b4-c5)-d4' and
also can continue ' -c3-d2-e3-f2' the same move. So, King has no way out with 'g1-f2' upon either Check by the Rose. Stopping at '-d4', Priest gives DoubleCannon-c7 pathway and Checkmate too.
In the board(Board 8) shown 5.July.2007, Priest move-example is
'h6-g5-h4-g3-f4-e3-f2-e1'. Two other long-range Priest moves(when unblocked) are shown in boards 9 and 11 this thread (July 2007). So, this 'unrestricted Priest' used throughout is a rider, long-range and colourbound. Priest is liberal version of Betza's Crooked Bishop. Like C.B., Priest cannot double back to any same square it has already passed over the same move, but Priest may additionally change direction twice in a row 90 degrees left or right. Betza's term 'Bent Rider' applies to Priest, multiply-bent rider requiring successive 90-degree one-steps per move(like Crooked Bishop). Gryphon 13th-century is early bent rider, with similar geometrical idea, under rubric of moving a step or more one direction and continuing different direction, without jumping.