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Equihopper. Jumps across a piece in any direction with the same distance before and after the hurdle. Cannot jump additional pieces on strai.[All Comments] [Add Comment or Rating]

Charles Gilman wrote on Mon, Sep 19, 2011 06:05 AM UTC:

'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.

Charles Gilman wrote on Mon, May 26, 2008 06:35 AM UTC:

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.

Charles Gilman wrote on Sat, Nov 29, 2003 08:56 AM UTC:

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!

Tim Stiles wrote on Thu, Jun 5, 2003 09:34 PM UTC:

Well, it said -any- direction, so you'd think it'd work in zebragonal and camelgonal etc. directions too, no?

🕸Fergus Duniho wrote on Tue, Jun 3, 2003 05:33 PM UTC:

The description of this piece needs clarification. It says that the piece
may move in <i>any</i> direction, but the diagram only illustrates
movement in diagonal, orthogonal, and hippogonal directions. What about
other directions, such as zebragonal or camelgonal? Can an Equihopper
really move in any direction, or is it limited to directions the regular
Chess pieces can move?

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