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I added an AI image of the piece to this page.
PS: If (2,4) is a Hare, then I suppose (2,4)(3,4) would be a Jackalope.
Speaking just for myself, if there was an article on the (4,2) leaper, I'd probably go with both Hare and Stag.
As for the Antelope (as a (4,3) leaper), the diagram tells me that it's not likely to be much use on a standard-sized board; there's no place it can go where all of its destination squares are available. For something 12x12 and up, though, it can be at least as handy as a Knight in standard chess, and in some cases almost scary.
The Impala, which moves like a Knight or Antelope, could also be a wildcard in a game.
There was a little bit of discussion regarding the (4,2) leaper's names in this thread a couple years ago
Btw, what is the name of the (2,4) jumper?
It doesn't have a listing here (that I can find), but the Wikipedia article gives it the names Hare, Lancer, or Stag.
For one of my variants, I initially used the Lancer form until it was pointed out to me that it would be colorbound to only one-fourth of the board, so the (2,4) leap isn't much use except in a combination piece like the Wyvern (3,3)(2,4)(1,5) from Beastmaster Chess. (I ended up keeping the Lancer name, but made its move N2cnDH.)
The texts still says: The antelope is a (3,4)-jumper, i.e., it moves (with or without taking) four squares horizontally and five vertically, or five squares horizontally and four vertically.
It should be corrected as:
The antelope is a (3,4)-jumper, i.e., it moves (with or without taking) four squares horizontally and three vertically, or three squares horizontally and four vertically.
Btw, what is the name of the (2,4) jumper?
The page still contains the error that this piece moves 4,5
There is a mistake in the written description of the antelope's move--'four' and 'five' should be replaced by 'three' and 'four', respectively, twice.
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This one is nice to my opinion. It really looks like a chess pieces.