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This item is a game information page
It belongs to categories: Orthodox chess, 
It was last modified on: 2001-06-24
 By John  Savard. Leaping/Missing Bat Chess. Large variant on a 16x12 board with many fairy pieces. (16x12, Cells: 192) [All Comments] [Add Comment or Rating]
George Duke wrote on 2016-09-23 UTCGood ★★★★

Savard is mathematician and this is satire too a little overdone.  I mean Bat as root-65 leaper?

Can the Bat reach more than the 16 squares shown in the diagram of the 12x16 board? If so how many squares are ultimately reachable by Bat?

Besides the Bishops and the Bats, what other (several) piece-types are unable to reach all 192 squares and how many can they reach given the set-up array?


M Winther wrote on 2011-02-19 UTCPoor ★
I don't get it. This is not playable, nor is it interesting. So why do people keep inventing these over-complicated variants? Nor does 'crooked' piece movement make any sense. This site is flooded with this type of variant, so the good variants, which are *playable*, and can have an impact in the future, gets drowned in all this muck. Such creations only serve to deter people from taking an interest in chess variants. If some of the chess hardliners want to make variant enthusiasts stand out as unrealistic fools, then they need only link to this type of variant. 
/Mats

George Duke wrote on 2008-02-01 UTCExcellent ★★★★★
Something important actually ramifies back to Chess Variant Page. When I put ''e to the (pi,i) equals minus one/ Like to the four Rook Bishop Knight Falcon'' in Falcon Poem XX 'Pleiadic Diacaustic' a year ago, we did Google search to double check its forms. Entering ''e pi i minus one'' leads to mathematician John Savard's Homepage for the best and major Internet exposition of Euler's famous equation. The same website's 'Chess' section there led back to this CVPage by way of Leaping/Missing Bat Chess. In L/M Bat, Bat itself, 64 + 1 = 49 + 16, gives the Root 65 Leaper here in 2001, before Gilman defines other root-leapers after 2003. In Gilmanese, Bat is Ibis(2,9) plus Ibex(5,8). The trouble with Bat and 16x12 (=192) is that while Bat can work its way to any of the squares, its direction is always forward then backward on successive moves. Plural-path(two-) Rhinoceros is not Betza's Rhino, but related to it and Betza's Rose at the same time. Rhinoceros' full eight steps is type of Null move(blockable case), and potentially a self-unpin, as Savard says, according to position (check by Rook, Bishop, Queen).

George Duke wrote on 2005-03-15 UTCGood ★★★★
'JKL,LargeCV': This is whimsical and the spirit is there. 19 piece-types over 192 squares is the recurrent 10 percent showing good instinct. Nice logos represent slew of animal(fellow sentient beings) pieces. Tiger is Bishop-mover, Knight-capturer, as in Divergent Chess. Two newly-invented pieces are Bat and Rhinoceros. Colour-changing Bat is Root-65 Leaper(possibly used before), the same as Gilman's (1,8)Ibis plus (4,7)Ibex. Rhinoceros is rider moving circle-like along one of sixteen possible paths from 1 to 8 steps. Fully 8 steps always mean the null move. Therefore, Rhinoceros is able to perform a 'self unpin', nothing but that null move; but self-unpin can be blocked if no pathway is available. Analysis of Alfil and Dabbabah coverage. One would hate to spoil this chess by playing it.

Charles Gilman wrote on 2003-07-27 UTCGood ★★★★
The rating is mainly for the analysis of the Dabbaba and Alfil, and indeed
the fact those of each piece of the two armies combined cover the whole
board! On the whole I think that the eight colours would be better than
the 'more complicated arrangement'.
	The analysis of the Bat move is also interesting but there is one
omission. The fact that its leap length is the product of the Knight and
Zebra moves (as 65=5x13) is no coincidence. For any m=a²+b² and n=c²+d²
(all integers, but m and n not necessarily squares),
mn=(ac+bd)²+(ad-bc)²=(ad+bc)²+(ad+bc)². Thus Bat=KnightxZebra as
Camel=KnightxFerz.

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