Comments/Ratings for a Single Item
Fergus Duniho comments below that 'grandmasters who had extensive knowledge of opening theory' were interested in adding marshall and cardinal to 8 x 10. Fergus is right that they were likely trying to escape their narrow professional circuit into new frontiers, but the marshall and cardinal had been around for hundreds of years and different size boards, such as Turkish / Indian Great Chess were created to explore these possibilities. We are still exploring them today.
On an 8 x 10 capablanca random board, a number of new asymmetries emerge, distancing it from FIDE Chess. The bishop becomes more powerful and the power of the marshall over the archbishop is great.
What is the Falcon piece? Simply put: One of the greatest innovations to come along in hundreds of years for a board with a length of 8 squares in particular. The Falcon family of pieces perfectly complements the linear sliders as you can tell from this wonderful diagram George Duke created to illustrate their range:
Q D D D D Q D D D D Q
D Q S S S Q S S S Q D
D S Q F F Q F F Q S D
D S F Q N Q N Q F S D
D S F N Q Q Q N F S D
Q Q Q Q Q X Q Q Q Q Q
D S F N Q Q Q N F S D
D S F Q N Q N Q F S D
D S Q F F Q F F Q S D
D Q S S S Q S S S Q D
Q D D D D Q D D D D Q
One of the great charms of FIDE Chess is the competition between the bishop and the knight, which are roughly of equal value on that board. Or maybe precisely. In fact, IM Larry Kaufman assigns them the exact same value (3 1/4 compared to 5 for rook, 9 3/4 for queen) and argues this: 'In other words, an unpaired bishop and knight are of equal value (within 1/50 of a pawn, statistically meaningless), so positional considerations (such as open or closed position, good or bad bishop, etc.) will decide which piece is better.'
This is charming because the bishop and the knight are two such disparate pieces and that there should be an underlying symmetry behind this polarity is surprising. There may not exist a single piece in Falcon Chess with equivalent value to the falcon, but when playing with the Falcon piece, one feels a similar pleasing feeling of polarity, of playing with a unique piece that can be competitive among disparate pieces. So it amounts to a great contribution.
The Falcon multi-path piece is one elegant solution to a problem implicit in one of Betza's observations: 'The second rule is that a forward leap which is half or more the height of the board is too dangerous. For example, a piece combining the (0,3) and (0,4) leaps would win heavy material in just a few moves from the opening position.'
Fergus Duniho does not note this but I think George Duke has a leg up on the great Jose Raul Capablanca and eccentric Henry Edward Bird when it comes to designing chess variants. The latter two gentlemen are rightly credited as great classical chess players, but unlike George Duke, they were not chess variant experts and they contributed very little original to the development of chess variants, except mainly to lend their prestige to a lazily constructed 8 x 10 variant that was hundreds of years old. [Added note: This may have been unfair. H. E. Bird probably was something of a chess variant expert. He was certainly a historian of chess development. ]
Usually, unprotected pawns are seen as a liability. In Falcon Chess, they serve to permit the dynamic Falcon piece to play a more interesting part in the opening.
I rate this game excellent and applaud George Duke's initiative in bringing the Falcon piece forward. It has enriched our chess variants world considerably. It is one of the few variants I consider enjoyable enough to be well worthy of serious study. It marks George Duke as one of the greatest contemporary chess variant inventors.
Thanks a lot, Jeremy, for analysis of highlights of the Falcon model of coherent piece development. Remarkable the co-equality of Knight and Bishop on 8x8! Yet it breaks down by 9x8 or 8x9 where B>N, and smaller would be N>B. So, probably it is coincidental (like Sun-Earth-Moon 400 factor?). Competing philosophy is expressed by Larry Smith 22.March.04 under 'Game Design' thread: 'If a game was populated with pieces of near equal value, the advantage of exchange might not be significant. But if the pieces were of various degrees of value, enough to clearly differentiate them, exchanges would hold the potential of an advantage. Then a player can make sacrifices to obtain positional advantage.' There we developed formula M = 3.5Zt/(P(1-G)), where P = Power Density(Betza), G = Smith's Exchange Gradient[quantified by myself], t = piece-type density, and Z = Board Size in number of squares, used to calculate M, game length(number of moves expected average). [Mike Nelson named what Betza defined 'Power Density']
Have you thought about this preset: frnbqkbnrfpppppppppp60PPPPPPPPPPFRNBQKBNRF Notice that all the pawns are protected. The 10X10 also is a lot more roomier for the extra pair of pieces.
I am adding words in [boldface] to correct some statements made on this page:
It is not possible [in general] to achieve checkmate with king and one falcon against the enemy king. The situation is [not] akin to the inability of king to [force] mate with only two knights or only one bishop against king. However, the rook and king together of course can checkmate opponent's king. Therefore, the rook becomes generally more valuable than the falcon in the end game. It is important to approach the end game bearing in mind this relative weakness of the falcon. For example, one must have at least king, falcon, and some one other piece to have [more than] a [slim] chance for checkmate against lone king.
Five months ago this comment was posted: 1. c2-c4 1... n b8-c6 2. c4-c5 2... n c6-e5 3. c5-c6 3... n e5-g6 4. c6-b7 // PxP 4... n i8-h6 5. b7-a8; Q-a8 I just ran this sample game to verify that Pawns promote to Queens (and presumably other pieces) in this rules enforcing preset. Clicking on the [Rules] button takes me to the 'Falcon Chess' page, where a 'Find promo' command results in several comments of a general nature and one example of a Pawn promoting to a Falcon. I am confused - in a game of 'Falcon Chess 100' between the same two players, George Duke writes: // Right, in our 80-square FC, promotion only to RNBF, // because R or F is interesting equal choice, depending on // position. Here FC100 Queen promotion too if reaching that // farther zone(Rules).
Talking about chess variants is more complicated than playing them! Back on [2006-04-03] Joost Brugh commented on this page that there is no forced mate, in general, with Wildebeest + King against lone King. But I suspect that such endgames usually lead to a stalemate victory in Wildebeest Chess.
Falcon Chess has the opposite problem: I have not seen anyone state that King and Falcon can force a lone King into a corner. But consider the following endgame position, which could arise after Black has promoted a Pawn to a Rook, or perhaps captured with his Rook:
White K(b2) and Black K(a4), R(a1), F(h7). After 1.Kxa1 Kb3 2.Kb1, the Falcon moves h7-e6-g3-d4-c1-f2-c4 checkmate.
Pardon the plug Mr. Duke, but I want to say your Falcon is welcome in IAGO Chess, if you want to play around with it there.
I think this page does a very poor job in describing Falcon Chess compared to the compact description other CVs get on these pages. And this for addition of only a single new piece, for which the move rules could have been described (within the context of what can be supposed common background knowledge for visitors of these pages) with the in a single sentence: 'The Falcon is a lame (1,3)+(2,3) compound leaper, which follows any of the three shortest paths to its desination consisting of orthogonal and diagonal steps, which can be blocked on any square it has to pass over to reach its destination.' That, plus possibly a diagram of the Falcon moves and a diagram of the array should have been sufficient. As it is now, I could not even find the rules for promotion amongst the landslide of superfluous description. Note that my rating only applies to the page, not to the game. I haven't formed an opinion on that yet, it could be the greatest game in the World for all I know. I have a question, though: What exactly does the patent cover? As a layman in the field of law, I associate patents with material object which I cannot manufacture and sell without a license. Rules for a Chess variant are not objects, though. So which of the following actions would be considered infringements on the Falcon patent, if performed without licensing: 1) I play a game of Falcon Chess at home 2) I publish on the internet the PGN of a Falcon Chess game I played at home 3) I write a computer program that plays Falcon Chess, and let it play in my home 4) I publish on the internet the games this program played 5) I conduct a Falcon Chess tournament with this engine in various incarnations as participant, and make it available for life viewing on the internet 6) I post my Falcon-Chess capable engine for free download on my website 7) I post the source code of that engine for free download on my website 8) I sell the engine as an executable file 9) I sell a staunton-style piece set with 10 Pawns, orthodox Chess men, and two additional, bird-like pieces 10) I sell a set of small wooden statues, looking like owls, falcons, elephants and lions, plus some staunton-style pawns, plus a 10x8 board. ????????? And more specifically: would it require a license to equip my engine Joker80 to play Falcon Chess (next to Janus, Capablanca and CRC) and post it on the internet for free download? If so, could such a license be granted, and what would be the conditions?
On a more chessic note: Why are you saying the Falcon does not have mating potential? I ran a tablebase for the Bison (a non-lame (1,3)+(2,3) compound leaper), and the KBiK ending on 8x8 is generally won (100.00% with wtm, 80% with btm including King captures, longest mate 27 moves). I think it should make no difference that the Falcon, unlike the Bison, is lame: to block any Falcon move, at least 2 obstacles are needed, and this is very unlikely to ever occur with only two other pieces (the Kings) on the board. In the mating sequence I looked at, the Bison is mainly shutting in the bare King from open space, the attacking King closing off another direction. I also cannot imagine that expanding the board size from 8x8 to 10x8 would make any difference. Usually it is the narrowest dimension that counts. So I really think King+Falcon vs King is a totally won end-game on 10x8, although I could not exactly say in how many moves.
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