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George Duke wrote on Sat, Jul 28, 2007 03:23 PM UTC:
Piece-values: for pieces of Rook value+, first find Pawn-equivalence.
8  K___P___P___P___P___P___P___P   A = Angel, leaps to any square reached
7  P___P___P___P___P___P___P___P   in n King moves(Conway), n=7 8x8
6  P___P___P___P___P___P___P___P   P = Black Pawns     Why 'any value>
5  P___P___P___P___P___P___P___P   1.0' & then assign 60.0? Because A
4  P___P___P___P___P___P___P___P   on 8x8 sets up in illegal position(!)
3  P___P___P___P___P___P___P___P   and so not properly rated. Arriving
2  P___P___P___P___P___P___ ___a   anyway at '60 pts.': 60 Black Pawns,
1  P___P___P___P___P___P___P___k   White goes first h2-f8 Checkmate.
   a   b   c   d   e   f   g   h   If instead Black moves first,
g3-g2 Check (ignoring activation of Angel's simultaneous check by special
rule that Angel must move) and after h2xg2, f3xg2, capturing Angel, Black
is to win. So equivalence of 60(or 59)Pawns and one Angel(58 or 60)
8  P___P___P___P___K___P___P___P   Unlike Angel, Angel-prime(n=6) is bona
7  P___P___P___P___P___P___P___P   fide piece on 8x8. Legal initial,
6  P___P___P___P___P___P___P___P   no promotion of course. 47 Pawns beat
5  P___P___P___P___P___P___P___P   A-p and King, but remove several
4  P___P___P___P___P___P___P___P   forward Pawns and A-prime soon finds
3  P___P___P___P___P___P___P___P   a square six removed from King,
2   ___ ___ ___ ___ ___ ___ ___    checkmate, proving A-p 39-41 points.
1   ___ ___ ___a___k___ ___ ___

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