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This item is a game information page
It belongs to categories: Orthodox chess, 
It was last modified on: 2002-07-31
 By Jörg  Knappen. Nachtmahr. Game with seven different kinds of Nightriders. (8x8, Cells: 64) [All Comments] [Add Comment or Rating]
Jörg Knappen wrote on 2014-09-18 UTC
An excellent to Carlos Cetina for the really nice diagram.

All Knight moves in the first step are "equal" (in the sense of symmetry), but the continuations fall in two classes that Jelliss terms "3D" (crossing the diagonal, the pure trajectories in Carlos' diagram) and "3L" (crossing the lateral, the "impure" trajectories in Carlos' diagram). Here's a reference on the terminology:

http://www.mayhematics.com/t/2b.htm#%282%29

Splitting the Quintessence into a diagonal and lateral piece is surely feasible and the pieces should both be very playable.

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The German and French term (Spiralspringer and Cavalier spirale) are generic (like crooked Nightrider), for further precision they are qualified (German: enger Diagonalspiralspringer = wide [sic!] diagonal crooked Nightrider etc.)

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Yes, the Nachtmahr army put a lot more of strength on the board than the FIDEs: Just exchange whatever Nightrider against Queen, the Rooks, and one Bishop and you are left with a stronger rest of the army. And because of the huge forking power of the Nahctmahrs, I don't see a chance for the FIDEs to avoid this.

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On relative piece strength: The here termed "wide" pieces are clearly the strongest: They have an enormous "capturing density" and the can-mate property. The classical Nightrider is the weakest, the others are in-between.

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I'd like to see your design of Nachtmahr II (allthough I cannot promise to have time for discussion)