George Duke wrote on Sat, Jul 12, 2008 04:52 PM EDT:
We can circumscribe our understanding of all leapers by looking at Tim
Conway's Angel from 1970's. Here 27.July.2007 explains more fully that
Angel jumps to any square that can be reached in n King moves. That means
always every other square on board having both dimensions < (n+1). What is
value of Angel on 8x8 n=7? Any convenient value > 1.0 but 60 is promising
for comparisons. How could Angel possibly be strengthened? By not being
able to be captured. (A complete Rules-set would have provisions for King
escape.) Rook has been implemented as compound leaper to (0,1), (0,2),
(0,3)...all the ''Rook squares.'' (Chatham or Paulowich may remember
where.) Call that piece Rook-all. Then our standard Rook is lame Rookall
or Rookall darter same difference, a complete definition because it is
understood we are interested in only one pathway. The most useful
divisions for piece-types are actually Multi-path, Rider and Leaper, but
there are even some unclassifiable there.