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Gary Gifford wrote on 2006-09-29 UTC
Darren: You ask about KRII (A) Is there any actual functional difference between,
say, a rook and a royally reincarnated rook? and (B) If not then what
difference does it make which piece the king reincarnates to?'

Answer: In regard to KRII (a) In this variant the
Reincarnated King can move like the piece he replaces.  (b) Now the
difference is this.  Let's say Black has a Rook on e4 and a rook on a8. 
Let's say the Black King was captured and the player wants to Reincarnate
the King to replace his Rook on A8 because the Rook on e4 can be captured
and he has a Knight,he wants to play Nf6 and then Nh5. Here is the difference.  
White captures the Rook on e4 and now it is Black's turn. Black has his King 
(that can move as a Rook) and he has his Knight.  But, suppose he Reincarnated as 
the e4 Rook.  The e4 King(aka Rook-King, aka Royal Rook) is captured and now, 
the King must reincarnate to replace the Rook on A8 or the Knight.  
Assume he replaces the Rook on a8.  Now his e4 Rook is gone and it is still 
White's move.  A little bit of mental gymnastics... 
so lets use moves:

 CASE KRII - A                CASE KRII-B
1. ....  K-A8 (Rook-King)    1. ....  K-e4 (Rook King)
2. Qxe4  Nf6                 2. Qxe4  K-a8 (Rook King)
3. P-a4  Nh5                 3. P-a4  Nf6

Back has lost a tempo in case B because there were 2 reincarnations.

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