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Pocket Mutation Chess. Take one of your pieces off the board, maybe change it, keep it in reserve, and drop it on the board later. (8x8, Cells: 64) (Recognized!)[All Comments] [Add Comment or Rating]

💡📝Michael Nelson wrote on Wed, Feb 23, 2005 12:29 AM EST:

Greg,

Excellent work in doing all the calculations. 

Your figures confirm my designer's intuition that the value classes
(desinged based on Betza's atomic theory of piece values, with no
detailed math) are well-defined and playable. The worst case scenario is a
discrepancy of 1.47 mobility between Nightrider and SuperBishop in class 3.
This is vitually identical to the smallest difference between two pieces of
differnt classes: 1.48 betweenS SuperCardinal (class 5) and ChancellorRider
(class 6). 

However, some hard to quantify but very real values tend to narrow the
former gap and widen the latter: 

The Nightrider is particularly strong in the opening and as a drop
piece--this brings it closer to the SuperBishop which is not particularly
outstanding in either respect (though hardly poor). 

The ChancellorRider has a Rook move, so it has King Interdiction power
(the ability to prevent a King from crossing a rank or file covered by a
Rook move, thus confining it to a restricted area of the board). As the
SuperCardinal does not have King Interdiction power, this gap widens.