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Nachtmahr. Game with seven different kinds of Nightriders. (8x8, Cells: 64) [All Comments] [Add Comment or Rating]
Jörg Knappen wrote on 2010-05-10 UTC
The Quintessence lacks the can-mate property on regular rectangular boards. The necessary piece of analysis goes as follows:

There is only one mating position with King and Quintessence vs. King, namely Black: King a1, White: King a3, Quintessence d2. Note that the position with a white King on b3 is a stalemate because the white King now blocks the check against the black King.

To force the the black King to a1, the position prior to the mate must look like Black King b1; White King a3, Quintessence controls squares c1 and c2. This can be done with Quintessence on b4 or d4. However, there is no quintessential move from b4 or d4 to d2. Therefore no mate can be forced.