##
Center Quotient

After trying out various pieces, I came up with the idea of the
"Center Quotient": on an empty board, see how many different squares
a piece can occupy that are not themselves center squares but from
which the piece attacks the center; if the piece attacks two center
squares from one place, count that place twice.

N 32 WD 24 WA 24 fbNF 28
B 48 R4 48 FAD 44 fhNsbK 28
R 48 HFD 44 BD 64 fsRbK 48
Q 96 RN 80 NB 80 fsRfhNK 70
K 20 W 8 F 12 A 16

The FIDE pieces total 352,
the Colorbound Clobberers 344,
the Remarkable Rookies 312,
and the Nutty Knights 278.
The results are intriguing, but I am not convinced of their
usefulness.

Notice that the WD and WA show up poorly, which corresponds to their
difficulty in developing to useful squares. This could just be
coincidence.

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