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George Duke wrote on Wed, Feb 4, 2009 05:53 PM UTC:
ChessboardMath6 is for other Falcons. (1) OSPREY is the (first) Falcon that
switches back. Now, in the large, all Falcons go to squares removed (2,4)
and (3,4). That's a given, handed down. Others call the squares (1,3) and (2,3), thinking of dynamics in
reality of motion, not of plain statics setting the standard. There will
be over 100 other Falcons different here (and ChessboardMath7 -8 -18 -28: we'll cross that bridge yonder). Osprey follows Rook-lines only
in three legs of noncircuitous route. First leg is to any edge square, thence along the edge to
the same rank or file of the target (2,4) or (3,4) arrival square,
finally ''switching back'' to that very square. Thus either two, three, or four edge squares are mandatory. OSPREY. Here is an
example on 8x10. Departure square b2 moves to b8 (edge) to d8 to d5. That is one way to move b2-d5.
Blocking can occur at any of b3, b4, b5, b6, b7, b8, c8, d8, d7 and d6,
disabling the pathway. OSPREY. (2) Second, ''BISON'' moves directly
without specified pathway, like a DABBABAH or ALFIL, but not to their
(1,3) or (3,3) respectively, instead to regular (2,4) or (3,4) at will. No blocking of BISON in two dimensions.