George Duke wrote on Mon, Nov 30, 2009 05:44 PM UTC:
Footprint of the Bobo. Bobo derives from Bishop-Bishop, but standard Bobo
is 1.5 Bishops. The footprint of the Boboll, where 'll' is for the lower
left Bobo, from a starting standing square e5 is f6, g7, h8, d4, c3, b2,
a1, d6, c7, b8, f4, g3, h2 -- those so far are standard Bishop -- AS WELL
AS f5, g6, h7, e4, d3, c2, b1. Boboll is blockable so the pathway to the
latter b1 is through the e4-d3-c2-b1. The tag 'll' determines the
across-the-board diagonal from initial orientation of lower left. The other 3 Bobos also use ''lower'' orientation to find their respective
different additional diagonal, one for each. Identification is by the
suffixes upper(ul), lower right (lr), upper right(ur), and their names are
Boboul, Bobolr, and Bobour. The 4 Boboll, Boboul, Bobolr and Bobour are in
lieu of Knight and Bishop, because they are genuine hybrids of Knight and
Bishop. Hybrid is not compound. Compound is another animal, a different
concept. Compound of Knight and Bishop is Carrera Centaur(BN).
Hybridization takes visualization in a best sense from higher, or more spatial
dimensions, at least one more than regular 3-space. To hybridize N and B
gives the entity a whole new diagonal, not just the one spot we see as
Knight target square in 3 dimensions. Thus subsumed by the hybrid are what
were called Knight and Bishop. They are smeared across the others' paths. There are 4 orientations for this entity, hence
the 4 Bobos. The argument will be further developed as (time dimension)
allows. Now ''Bobo4'' will represent conceptually all 4 Bobos as if one
-- which are not interested in when thinking of the practical chess pieces. Further hybridization, namely of Rook and Bobo4, will yield the footprint of long-speculated Bo-Ro-Ho. For follow-up, Bo-Ro-Ho is now discovered and open to speculation on the whys and wherefores. One piece-type fits all.