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This page violates the Piececlopedia guidelines and so should be removed. The Piececlopedia is reserved for pieces that have previously appeared in games or fairy chess problems.
Note the usage of the names wolf and fox in Wolf chess. --J%org Knappen
I have now included this piece in a subvariant of my 4 Linepiece Fusion.
This resolves the anomaly of it being in the Piececlopedia but not
qualifying. In the process I have also thrown in some names for compounds
of this kind of piece.
I have been thinking further about pieces of this kind. It occurs to me that the Fox can be seen as a compound of two weaker pieces - a 'samewise' Fox that always makes two left or two right turns, and a 'contrariwise' Fox that always makes one of each. The first shares the Bishop's destinations but by a less direct route, the second those of the Lama (Dabbaba then Bishop) but with two turns instead of one. I take the 45° nature of the turn to apply equally in 3d, so that on both cubic and hex-prism boards the Fox still moves in only one plane in each move and so still has the same two components (but with more pairs of opposites than just left/right). The forward-only piece, the Foxcub, is always contrariwise. The Hyena, with 1:1:1 rather than 1:0:0 steps toppoing and tailing the Bishop section, would similarly have Samewise and Contrariwise components, but so would its forward-only version (Hyenacub?).
Stiles' Fox is doubly bent rider, two-path to only some of its squares.
Shouldn't move option 2) include a lame dabbaba move?
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