Enter Your Reply The Comment You're Replying To 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. Edit Form You may not post a new comment, because ItemID ChessboardMath11 does not match any item.