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Since you already found the Nachtmahr page, here is an explanation: In order to move from b1 to e4, the Crooked Nightrider must contain the diagonal narrow crooked nightrider. In order to checkmate the poor king from e4 it must contain the straight narrow crooked nightrider. We cannot conclude whether it contains more components from that little bit of information, hence in a strict interpretation the two components mentioned make up Betza's Crooked Nightrider.
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'I hereby also stake my claim to the discovery of the Crooked Queen and the Crooked KnightRider. Duh. :-)
In the opening position, a Crooked KnightRider on b1 can play 1. zNNb1-e4, double check and mate.'
I am having a hard time conceptualizing the Crooked Knightrider and how it moves. I want someone to help me visualize its movement. Could someone do an ASCII diagram for me? And / or try to break it down for me so I understand it better.
I think I'm on the verge of understanding it but I don't yet. I did read that Joerg Knappen's idea for Nachtmahr was derived partly from Betza's impression that the Crooked Nightrider was too powerful, so Knappen thought to break it down into different crooked nightrider components. I have a feeling if I studied this essay more carefully, it would come to me but I prefer to have a bit of help.