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Well, it said -any- direction, so you'd think it'd work in zebragonal and camelgonal etc. directions too, no?
Not only are there oblique leapers other than the Knight, there are extensions of the Knight other than the Nightrider move (of which the a1-c5 illustrated is a hopping version). Do the directions have to be straight, or could an Equihopper use a modified Rose move? If it could the one illustrated could hop over the b3 King to reach a5 or to capture the d4 Pawn! Regarding direction names my preferred terms are Knightwise, Camelwise, Zebrawise &c.. A case could be made for extrapolating from triagonal to pentagonal (especially apt for a piece still representing a professional serviceman!), decagonal &c., but mixing animal names with -gonal suggests cubist depictions of animals made up of straight lines and angles instead of their natural curves!
I also note that the equal numbers of steps either side of the hurdle add up to an even number of steps in every move. Therefore the piece is bound to the same proportion of the board (1 in 4 in 2d. 1 in 8 in 3d) as the Dabbaba. This does not appear to have been mentioned in the article.
'When the equihopper moves along orthogonal or diagonal lines, then the squares before or after the hurdle that are passed by must be empty. This is not necessary for other directions.' Is this really correct, even on a board with longest side 9 or more squares? For example, could an Equihopper on a board of 8 ranks by 9 files go from a1 to i9 as long as e3 is occupied? Or would a piece on c2 or g4 block it? I suspect that the latter is the case and what is meant by the sentence quoted is that a piece moving Knightwise from a1 is considered to go straight to b3 or c2 and not go through a2, b1, or b2.
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