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George Duke wrote on Tue, Feb 7, 2012 04:44 PM UTC:
TABLE OF SOVEREIGN VALUES (V) Bifurcators have clearer mates when capture
P/T           P/V  Mate#     is on the first leg.  Whether bouncing,
DoubleBarrel  3.5  5         colliding, or hopping, they benefit from
DoubleCannon  3.5  5         boards larger than 64 squares.  There are 
Laquear       4.0  4         more opportunities for needed adjacencies
Essedar       4.0  4         on 10x10 than 8x8, and Pawns become more
Helmsman      3.5  5         important factor to enable Bifurcator
Buccaneer     3.5  5         line of move or attack.  Like Cannon 
Murmillo      3.5  5         capture-mode and Contrahopper dual-mode,
Meridian      4.0  4         bifurcators need such enabler en route,
Samnis        4.0  4         not limited as a group to hopping modality.
Gaul          4.0  4         As the board clears, the second-leg-capture
bifurcators, like Cannon, fall in value. Above, hopping is considered the same as leaping or jumping in the Bifurcator page; the three are synonymous with Bifurcators. Deflecting is the fourth modality not yet in the main list there but one example. All four cases, needed screen trasitions first to second leg.

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