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If I'm right in the previous two comments (and if I've done the
calculations right), the mobility is 9.7.
I think the way to find the on-board probability is to divide it into two
parts. The on-board probablity for having two paths on a (X,0) (where X
is
any even number) move would be (X,2). The probability for having just
one
path on a (X,0) move would be (X,6) (on a 8x8 board, generally (X,board
size - 2)). I think this works - moving two squares up the board can be
done on all but the last two rows, and has two paths on all but the outer
two columns.
<blockquote>Would 0.91 times 0.7 times 0.7 be correct? Yes, this is the answer to 'it can move there if either d2 or f2 is empty AND e3 is empty AND the corresponding square (d4 if d2, or f4 if f2) is empty'.</blockquote>
This isn't right (I think). It can move there if e3 is empty and either d2 and d4 are empty or f2 and f4 are empty. So that's 0.7 * (1 - (1 - 0.49) * (1 - 0.49) ), which works out to 0.51793, as compared to 0.4459.
I think the generalized equation, where X is the (always even) number of squares moved, would be 0.7^(X/2 - 1) * (1 - (1 - 0.7^(X/2))^2)
updated March 30, 2002: Corrected the Bowman move (it wasn't registering when the square to capture was off-board). updated April 7, 2002: Corrected castling in Quantum-0, -I (one side was impossible, both sides ignored intervening pieces. Argh.)
Thy bidding done once more, Oh Gnohmon.
Under 'compelled Moves', there should be a final notice that 'Sometimes it is possible to make a saving move with some other piece than the compelled one. For example, suppose that your Basilisk has been pushed onto an occupied square, and so is compelled to move off, but has no legal move; if you can engulf your own Basilisk with a leaf pile, you have removed the condition causing the compulsion, and therefore you have saved the game.' And, under 'Interactions', 'If a Go Away which is compelled to flee an enemy Ghast is next to the Ghast, it can scream GO AWAY! instead of moving. It ends its turn one move further away than it started and so it has met the compulsion to flee. A Leaf Pile which is next to a Ghast can engulf the Ghast; as it then no longer needs to flee, its compulsion has been satisfied.'
Addition to Interactions made as requested. Did you also mean to add a
diagonal step move to the Go Away?
<p>
<br>
<i>(Fnord)</i>
Because they are so weak, the Feeble/Weakest pieces would do well on a
3x3x8 board, I think.
Oops. It seeme I misremembered what the Spirit told me in my dream, for when I tried to play the game it was too easy to end up in an impasse with no good way to break it; and the reason was clearly that the Go Aways were not performing their intended role. Then I tried a few games in which the Go Away moved by leaping two squares Rookwise or by moving one square diagonally, and things seemed to work much better -- in fact, just about exactly right, in conformance to the original vision of the game. It is funny how the Wounded Fiend seems to be such an unimportant piece, when it was the original inspiration for the game. Under 'Interactions', it should be added that 'Leaping pieces can cross unharmed a square seen by a Basilisk, for their talons never touch the ground and therefore the Basilisk does not see them.' The interactions are so complicated! I need to make a chart to see if I left anything else out.
Thanks for the end-game! I deliberately left the Queen out of the leveling
so as not to make thinks <strong>too</strong> uniform.
<p>
I wonder if the the <b>Rook-Level Chess I</b> army vs the <b>Rook-Level
Chess II</b> army would be a balanced form of Chess with Different Armies?
I would think so, but the <b>RLC II</b> army does have a significant 'can
mate' advantage. Does it matter?
Hey, David. Somehow my last comment in the 'Rook-Level Chess' thread
turned into its own 'Rook-Level' thread (no 'Chess'). Any ideas?
<p><i>Hey Peter, I think it's fixed. There was an issue with spaces I think. Time will tell...</i>
If we created higher dimensional analogues of the Feeble/Weak/Weakest pieces, would we be able to make a playable higher-dimensional CV with them (perhaps even a Chess For Any Number of Dimensions)?
There's an idea for the Bishop's move -- give it a colorbound Wazir's move,
so that it can only use it to change boards.
Just repeat that term: <i>A colorbound Wazir's move</i>. I love to be
able to say that and have it mean something
I am grateful for your effusive comments. There will be more on the subject, as I like the game and have analyzed the Weakest K versus Weakest King endgame -- it was very interesting. But at the moment, I've gotten out a chessboard and some coins (with which to mark mummies and statues) and am studying the play of the Game of Nemoroth.
A Wounded Fiend (not 'friend' unless you are a truly scary creature) is impeded by mummies, as indeed a Rook would be. Notice also that it cannot retrace its steps because of its own ichor, and therefore, as Azgoroth once said, 'carries within it the seeds of its own destruction'. (The endgame where each side has one Wounded Fiend and nothing else can be quite interesting.) This game is tough to get used to. For a while I thought I had made a major rules error, but in fact when a Leaf Pile engulfs, the mummy does not appear until it moves on, and so the Leaf Pile is vulnerable to being engulfed by an enemy Leaf Pile. If it were not so, the first player would attack with Leaf Pile (engulfing his own Human for greater speed) and win by force.
Rook-Level Chess is a very nice idea. Of course, the Queen isn't R-level... As for K+ND versus K, confining the K is tricky but it can be done. Example: BKb8 WKc6, White ND e4, Black's move 1...Kc8 2. Nd6+ Kb8 3. Kb6 Ka8 4. NDc8+ Kb8 5. NDc6+ and 6. ND a6 mate.
Continuing Peter's idea from his 'Alice Chess' comment on <a href='../diffmove.dir/monochro.html'>Monochromatic Chess</a>...
<p>I don't like the idea that Bishops would be restricted to their initial board. Perhaps giving the bishops a non-capturing wazir move would fix this. Option 3 is also a nice idea (the switch-a-roo).
<p>On the whole, I like this set of ideas. Perhaps it can be developed, with some play-testing, into a workable variant of Alice Chess, although Alice Chess itself is difficult enough to play... :)
Of course, there is the issue that on a larger board, since leapers are
weakened, most of these pieces are probably not quite Rook-level anymore.
One piece I do want to try in a larger variant someday is the NH (Knight
+ (3,0) leaper), since the H portion of the move would allow it to move
around a 10x10 board slightly faster than a Knight moves around an 8x8 board.
Okay, but I don't believe that the Chancellor is worth less than the Q. The midgame forking power of a piece that moves in 12 directions is quite amazing, the Chancellor has exceptional ability to save an inferior game by giving perpetual check, and finally, the drawn cases of K+Q versus K+P are wins in the endgame K+NR vs K+P. Of course there are positions that favor the Q, but all in all, my experience says they are equal.
It's an interesting idea, but would make for a more positional game with
more trading off of material. I would recommend these Rook-level pieces
perhaps for larger variants which would still include the usual knights
and
bishops.
I wish I had thought of this! The idea of finding the weakest possible pieces that still provide a chess-like game is inspired. For some reason, it reminded me of my attempt to create a <a href='../newideas.dir/construction.html'>chess variant construction set</a>. The concept of a flipping move to switch between capture-only and move-only is something I never thought of. On the whole, a well-thought-out, and aesthetically pleasing game. I must try it out sometime!
Question: can a wounded friend move over (but obviously not stop on) a square occupied by a mummy? i am not sure. if anybody wants to try this game with me by email, send to good7972@hotmail.com
Here's an amusing possible solution to the problems with this variant:
combine it with <a href='../other.dir/alice.html'>Alice Chess</a>.
<p>
Here's how it might go. You add a second board, like in Alice Chess,
except the 2nd board has reversed checkering: a1 is white, not black.
When a piece's move would otherwise cause it to move to a square of a
different color, it instead lands on the equivalent square of the
other board. Thus Knights always switch boards when they move, and
Bishops never switch boards.
<p>
There are a number of ways to handle switching boards:
<p>
<ul>
<li>Alice Chess-style. The move on the board on which the piece
starts must be legal as in orthochess, and the square on the other
board must be empty.</li>
<p>
<li>The Plunge. A piece moving to another color may only to move to
a square that is empty on their current board, then they plunge through
the board to the equivalent square on the other board, capturing any
opposing pieces they land on, except for Pawns who may not plunge to
occupied squares.</li>
<p>
<li>The Switch-a-roo. A piece makes a normal orthochess move on the board
on which it starts, and then, if the destination square is of a different
color than the piece's starting square, it moves to an equivalent
position on the other board. If the space on the other board is occupied,
then the piece occupying that space is moved to the space just landed on on
the board that the moving piece started on. This version actually allows
Bishops on the 2nd board.</li>
<p>
<li>The Last Square. The piece's move is as normal, except that if the
piece would land on a color of square different from which it started, the
last square of its move is the equivalent space on the other board, and the
move does not pass through what would be the final square of its move in
orthochess. The last square on the board on which the board-changing piece
moved from may be occupied by a friendly or opposing piece -- it doesn't
matter as the moving piece does not pass through it.
</ul>
<p>
I don't know which would be best.
It would be nice if a place to click to create a new subject at the top
of the comments page. Right now, as far as I can tell, you have to page
down until you find an existing thread, and click there.
The discussion of piece values and the purpose of the variant for
<a href='../diffsetup.dir/chigorin.html'>Chigorin Chess</a> reminded me
of a conceptually-related idea I had a while ago I called Rook-Level Chess.
<p>
<h4>Rook-Level Chess</h4>
<p>
The idea I wanted to explore in Rook-Level Chess is: how would the play of
Chess be affected if the Rook, the Knight and the Bishop all had
approximately the same value? It seemed to me that threats would be
harder at the very least. Anyway, drawing on Ralph Betza's work on the
value of Chess pieces I selected stronger Knights and Bishops that retained
some of the character of the existing pieces: for Knights I used NW (Knight
+ Wazir or Marquis), for Bishops I used BD (Bishop + Dabbabah or Bede).
These pieces retain the color behavior of the pieces they replace: the
Marquis is color-changing, and the Bede is colorbound.
<p>
I sent this to David Paulowich, and asked him how he thought this would
affect exchanges. He replied that we would still prefer a Rook to a
Marquis and a Marquis to a Bede, as you could mate with a Rook + King vs
King, but not with Marquis + King vs King or Bede + King vs King, and he
still though color-switching pieces more valuable than colorbound ones,
other things being equal.
<h4>Rook-Level Chess II</h4>
<p>
Given the above comment, I wondered if the powered up Knight and Bishop
could retain <i>different</i> characteristics of the base piece? So, for
Rook-Level Chess II I replaced the Knight with ND (Knight + Dabbabah or
Vicount) and the Bishop with BW (Bishop + Ferz or Dragon-Horse). In this
case I retained that the Knight was a strictly leaping piece not attacking
adjacent pieces, and I retained that the Bishop was a non-jumping piece.
Are these pieces of equal value? And could you mate with Vicount + King
vs King? (Dragon-Horse + King vs King is a win.)
<h4>Discussion</h4>
<p>
I've played around with Rook-Level Chess a bit with Zillions for what it
is worth, but I strongly suspect it loses somethings that Chess has. If
nothing else, weak pieces can be fun since they can harass stronger pieces.
<p>
Other versions are of course possible. Given that Ralph has settled down
to rating the Crooked Bishop (zFF) as equal to a Rook (there being a brief
point where he was rating it at 1.5 Rooks), a Crooked Bishop might replace
the Bishop nicely.
<p>
I should eventually add these as modest variants.
Agree with gnohmon that there is an imbalance. Suggest reversing e-side
escalator and transposing one side's royals (e.g., Kd1 and Qe1).
My comment that Black was ahead was based on R+B vs R+N multiplied by pawn
promotion. The B vs N is probably just a wash -- maybe giving White some
early play but moving towards Black in mid-end play.
Leaving rubble pieces behind as the TronQueen slides is the problematic part, because (and I've run into this problem again and again) there's no (direct) way to generate a move that creates more than one piece. The solution that leaps to mind is to have so-called 'empty' squares be dummy pieces with no images, and turn multiple ones into Walls at the appropriate time (which is also problematic, but doable). That's probably what I'll have to do, but it means reimplementing all the Chess moves so that chess pieces are trading places with dummy pieces instead of moving to empty squares. Capturing means trading places with the captured piece and turning it into a dummy. There are lots of things that could go wrong and strange bugs that would surface. The two-board approach meant that the dummies could cover the underboard while the chess pieces moved about on the overboard. When you play the game, you only see one board. The second board occupies the same pixels. It's just an implementation device.
Don't use two boards... I suggest you download Rubble Chess (another one of my inventions, Z'd by Peter Aronson) and take it apart to find out how it worked. All you need to do is make variants of it where the <foo> leaves behind Rubble Pieces, for <foo> being any chess piece. (I don't think pawns would work very well, but...) You can also make special starts where the board starts full of walls (rubble chess start), etc... --Adam
The trouble with my Zillions implementation is, a piece that captures a Wall disappears until you make the board redraw itself. When the computer plays against itself, it's not a problem. But when a human captures a Wall, he needs to hit Ctrl-F twice or something. It would be an easy, easy thing for Zillions Development to fix. I guess it's my own fault for trying to make two boards, one on top of the other. I just thought it would be more elegant that way.
Um, okay, but Black has 2 doublings on each flank and W only one; and 1...a7-b6 already exploits a doubling to tie W down a tiny bit. Have you considered slanted escalators on a 9x9 board? On the 8x8 board, it seems to me that the clumsiness of Bishops should be regarded as an opportunity to find some other piece that fits the game better. Perhaps not as strong as a Rhinorider. Pieces have to use their own movement powers, so isn't it more of a staircase than an escalator? And so wouldn't ascending pieces get tired? It's too late at night, I'm getting silly.
gnohmon, you're wrong about a few things. first of all, while black rooks can control double files if they are on the a,b,g, or h files, a white rook on the b-file would control both the a-file and b-file, and likewise a white rook on the g-file controls both the g-file and h-file. Download the ZRF and you'll see. Bishops may seem weak but they may yet have a purpose in the game. It may be true that their ability to penetrate the other side of the board and attack is more difficult, but they'll still be pretty good as stay-at-home defenders. Note however that white bishops at a3 or h3 control very long diagonals (bishop at a3 attacks e8, bishop at h3 attacks d8) and while black may be able to control the outside files with his rooks faster, white should be able to occupy the escalator squares more quickly. In order that white does not get an overwhelming advantage in the game, I gave black the first move. Time will tell if the game is balanced sufficiently or not. Incidentally, if anyone who has ZILLIONS OF GAMES would like to play either SLANTED ESCALATOR CHESS, or SPINAL TAP CHESS http://www.chessvariants.com/large.dir/spinal-tap-chess.html or both, with me by email, drop me a line at DavidNYJfan@hotmail.com We can email each other the notation and record and save our games with ZILLIONS. What I really like about SLANTED ESCALATOR CHESS is that not only is there interesting connectivity around the board, but that it's going to be a bit challenging for each side to try to navigate the board to get to the other side and get a good attack going. Should make things very interesting!
Changes made as best I understood.
<p>
Alas, the Happy Editor song can never be written down or recorded, lest the
secret society of web editors silence y
Very interesting. 1. At first sight, the board seems unbalanced because a Black R at b6 attacks both b2 and c2, but a WR b3 does not get its power doubled. I would suggest that in the long run this advantage is much greater than W's advantage of first move. 2. The Bf1 can't go to c4, right? Perhaps Bishops should be replaced by something else. (Not zFF, that would increase Black's advantage.) 3. A Knightrider on a6 attacks both f2 and e2, right? And a Rose on h6 attacks both d3 and e3, and therefore... interesting.
It recently occurred to me that I might have named the Zombie an Iron Golem so that its dissolution by ichor would be a nethack reference. But perhaps that would have been inappropriate after all. Lovecraft never played a game of Nethack in his life.
Yes, I'm afraid that recursion (drat and drat again) must be explicitly
forbidden, which is too bad because it sounded like fun.
'Favors Black, you think? Then perhaps you will be willing to offer me substantial odds as we play a game for some enormous stake of money, perhaps a penny on a1 doubled on each successive square?' I had almost put the above statement into the story of getting a regular chessplayer to play Chigorin Chess, somewhere after the part where 'variant rhymes with deviant and that starts with d and rhymes with t and stands for trouble.', and way after the part where the regular chessplayer says with a sneer is that some kind of fairy chess.... (I'm not suggesting that you're the offensive non-PC 'regular chessplayer'; the misinformation about relative values of N and B is part of general unwisdom, that's all.) Read any monograph on the Chigorin Defense. You'll find that many players now believe the N to be superior in the early stages of the game, which agrees with my findings on the theory of chess values so I think it must be right. Given the advantage of the first move to go with the advantage of fast development, the *white* side in Chigorin Chess probably has a large advantage. In order to Castle K-side, Black needs to move two Pawns and two Bishops; and one of those P moves looks suspiciously like a weakening move. White can go 5.O-O at the earliest, but Black can choose to go 3...O-O; think about it! And, of course, this is the whole point of Chigorin Chess! You can get a 'regular chessplayer' to play, because he will want to prove that the Bishops are so much superior...
Shall we go with Tony Paletta's suggestion, and avoid all temporary powers
when calculating overprotection? It does make it simpler, and importantly
improves clarity.
You have trapped me and won the game of game-making! You suggested recursive, and I said 'sure, okay', and then you hoisteded me with me own petard by pointing out a most ingenious paradox, more ingenious than Doctors Einstein and Schweitzer. I am bereft, like an apprentice to Pilate. Where can I find an mp3 of busy editorial beavers whistling the 'Happy Editor' song as they undo a previous change?
Wow!! Who said theme doesn't count in abstract games? I want to play this, but I think I'm going to be disapointed when the pieces remain silent. I want to see a ZRF, but not too soon. Whoever does it needs to do a good job on the graphics, not to mention audio, to do the game justice. 'What eldritch noise did I hear?' Perhaps the screech of the El.
I thought this page was good becuase it gave you all the rules. They wer eeasy to understand and showed diagrams for furthur clarification
This variant seems to favor Black materially by at least a pawn.
Apart from the paradox problem, the need to take into account temporary powers makes assessment of overprotection a bit complicated. I would suggest ignoring temporary powers in assessing overprotection.
Absolutely great, in coherence of theme and originality!
This is something new in a way, or at least something not often done. It
is a game where the two sides, while having the same movement, have
different board topologies to deal with in the opening and midgame, and I
think it an interesting idea. Now, if there was just some way to determine
if it was balanced . . .
I've heard vague rumours that this game, or a game very much like it, is still played at Miskatonic University... The excellent rating applies to presentation and originality. I have not playtested this game (yet). Truth be told, I'm not sure I *want* to! :)
Busy editorial beavers have made the requested edits to this page, all the
while whistling the 'Happy Editor' song.
<p>
Ok, I read the part about having to be attacked to be overprotected, but
somehow it didn't sink in. But there's still a lovely paradox here.
<p>
Consider:
<blockquote>
White has Pawns on <b>a3</b>, <b>b4</b> and <b>c3</b>, and a Rook on
<b>b1</b>.
<p>
Black has Pawns on <b>a6</b>, <b>b5</b> and <b>c6</b>, a Rook on <b>b8</b>,
and a Bishop on <b>d6</b>.
</blockquote>
The white Pawn on <b>b4</b> is attacked by one piece, and defended by
three, so it can move and capture as a Wazir. Which means it attacks the
black Pawn on <b>b5</b>. The black Pawn is then attacked by one, and
defended by three, so <em>it</em> can now move and capture like a Wazir.
But this reduces the white Pawn on <b>b4</b> from being overprotected by
two to being overprotected by one, which means it can no longer capture
the black Pawn at <b>b5</b>. But if it can not capture the black Pawn at
<b>b5</b>, the black Pawn isn't attacked, and so can't capture the white
Pawn which suddenly overprotected by two, which means it <em>can</em>
capture the black Pawn. But it can't . . .
When Nemoroth finally appears, you will be amazed by the piece called the Wounded Fiend, and the distant resemblance to the Tron Queen. There must be something in the air that makes people come up with similar ideas at nearly the same time.
A Pawn or piece must be attacked in order to be overprotected. I said that, right? 'and dynamic' ... 'where checkmating the opponent could also checkmate you!' means that the enemy K is defended several times (but of course not attacked) so that when you attack the enemy K it becomes overprotected and gives check to your nearby King. I could have made that clearer, right? But you're correct, even the closest reading of this doesn't really say whether it's recursive. Yes, why not recursive, gosh darn it and gosh darn it again? If you could overprotect an unattacked piece, this would 'merely' be a new (and perhaps an excellent) form of Relay Chess. So, should add a line that the powers gained by an overprotected piece can be used to overprotect another piece. Should add a line 'therefore you can destroy your opponent's overprotection by moving your attacker away'. And should add the explanation of how giving check[mate] can check[mate] yourself. Better now?
I'm considering adding a section to the Chess Variant Pages for chess
eBooks. Right now I'm aware of only two: Chess History and Reminiscences by
H.E. Bird, and Edward Lasker's Chess and Checkers: The Way to Mastership.
Both are Project Gutenberg files. Does anyone know of any other online
chess eBooks?
This looks like fun! I particularly like that once you overprotect a Pawn
by two (easy enough -- just take an unattacked Pawn and give it two
supporters), suddenly it captures forward and to the side.
<p>
I find myself wondering if overprotection is calculated recursively. That
is, when determining overprotection, is overprotection taken into account?
<p>
Consider the following:
<blockquote>
White Pawns at <b>a3</b>, <b>b4</b> and <b>c3</b>;
<p>
Black Pawns at <b>a6</b>, <b>b5</b> and <b>c6</b>.
</blockquote>
Assume white's move. Can the white Pawn on <b>b4</b> capture the black
Pawn on <b>b5</b>? If you apply white's Wazir capture first, then it
can (since it is overprotected by two, black not having a Wazir capture
as it is only overprotected by one), if you apply black's Wazir capture
first, it can not (since then the white Pawn will only be overprotected by
one). Curious, no?
Author's note: I'd like to see this in Zillions. --Adam Norberg
I recently sent in a nomination to make this game--a well-established,
widely-disseminated, thoroughly-played design--a 'recognized' variant. If
you agree, send the editors an email. :)
It's amazing what range can be found among these entries, unified only by one simple requirement and the ethereal concept of 'chess'. This was fun!
chessvariants could have a page with links to all known downloadable chess
books...
I agree with John Lawson.
This appears to be an excellent game, with a lot of thought and effort. Is it a chess variant? Not really, even though it uses chess pieces. It's a mathematical (topology) abstract game, and you might find many fans for it in rec.games.abstract -- give it a try! Many abstract mathematical games become popular and widely played, but the market for them is not 'chess variant' people. I haven't tried Chain of Fools, but if it's as good as it looks you'd be doing yourself a big favor by taking the game over to rec.games.abstract, where you can find folks who will really appreciate it.
I think I was a little unclear about my idea. A stepping piece would move
on a chatter line if one of the squares that it could move to was on that
chatter line. Thus, a player with a King on <b>a3</b>, and a Bishop on
<b>a1</b>, with the Bishop having a clear move to <b>h8</b> could move the
King all the way to <b>h8</b>. Which is why it could be hard to run down
the King without disposing of the Bishop first.
<p>
But in any case, your suggestion to exclude the King and Pawns from this
behavior is probably wise, leaving it for various Faerie and CDA pieces in
their stepping moves.
Detail mode. This is how I use the comments: I arrive at the What's New page via bookmark. If there is a new topic of interest, I investigate, and comment if inspired. If the 'last comment' time is more recent than the last time I logged on, I review the recent comments. A minimal visit is two clicks (What's New, recent comments). Usually I visit at least every other day. If the comments were in summary, I would have to expand each one to see what it's about. By way of explanation, I attempt to reduce the amount of typing and mousing I do to a minimum. Many of my older, professional IT colleagues have become diabled due to repetitive motion injuries. I have many years left to work, and I spend 8 hours a day in front of my workstation earning a living, then come home and play with my personal computer. I would like to be able to enjoy my computer in retirement without wrist braces and voice response.
Good point John -- I have changed the default to 25. Now the question is,
should the default be summary mode or detail mode??
Project Gutenberg also has Edward Lasker's 'Chess and Checkers: The Way to Mastership'. Here's a link to it. If enough folks want this on our site as a web page, I'll create it. Otherwise, here's the link to it on PG's web site: <a href='http://www.ibiblio.org/gutenberg/etext04/lchch10.txt'>Chess and Checkers: The Way to Mastership</a> (text file).
The book itself is very disorganized and tough to read, with many passages that are repetitive and uninteresting. However, enough of Bird's personality shines through that I am glad to have made his acquaintance. To correct what I said earlier about the time of his career -- it was from before the first tournament up to the times of Lasker.
Bird lost a match to Steinitz by a mrer 7 to 6. 'Bird is one of history's greatest non-GM chessplayers.' I said, but I was wrong. Steinitz was a tough cookie. Losing 7-6 makes Bird a GM in my estimation. More than superb, optimal!
More than excellent, superb! Harry Bird is one of history's greatest non-GM chessplayers. His originality combined with his longevity (he played against Morphy, and he played against Lasker, maybe even against Vidmar, if I remember rightly) combined with his strength (not a world champion, but surely stronger than me) make him one of the more interesting personalities in modern chess history. I have often heard of this book, but was never fortunate enough to find a copy. Now I can read it at last. More than superb, optimal!
I know I'm just being a pest, but maybe the default number of comments that
are on the new comments page should be rather less than 100. It loads
really fast, but if there are 100 long comments, it could take a while for
us poor benighted souls who live too far out in the boondocks to have DSL,
and don't wish to pay our cable companies triple per month. If they were
just 'Excellent, great job!' it would be OK, but when some of those wordy
people start writing, and talking about things that aren't even chess
variants, well.....
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