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. Triangular / King cornered to start is interesting because I ._. F.i.d.e. / there is only one step out from triangle 50. II ._._. board / King has that Rook one-step 50-51. With board 5-9 ._._._. of 64 / equilateral triangular in the large, K 50-26 IV ._._._._. cells / is actually a Bishop two-step over cell 37, V ._._._._._. not a Rook. That is the better logic of using VI._._._._._._. triangles. Now from more central 26 King is ._._._._._._._. safer. Three choices to move exist from there, ._._._._._._._._. 26-27, 26-38 and 26-40. More likely he will be (Level VIII 50-64) surrounded by Pawns and pieces there protecting one another mutually. So, Triangle 26 is ideal standard Castling location, and White's corresponding is 36 for considerable separation. Rook's going to 37, Bunko Leap, in the Castling puts Rook a single step from 51, which is a co-intersection with 50 of the longest Rook ''files.'' For example, Rook 51-64 is 7 steps notionally across 13 equilateral triangles. Thus fixed Castling, Rook towards the corner and King towards the center, helps both of them. King can safely exit his dangerous lock-in at corner with only the one escape by timely Castle. The admonition to Castle Early transposes from F.id.e. squares to triangles in unchanged 64. For visualization: http://www.chessvariants.org/shape.dir/klinzha/klinzha.html. http://www.chessvariants.org/index/displaycomment.php?commentid=25177
64 cells . F.i.d.e.'s going to triangles, troika, would ._. mean brand new, fresh start opening II ._._. 234 theory with retention of holy of holies III ._._._. 5-9 sixty-four. Study triangles for a twenty- IV ._._._._. four period and squares are unnatural. In V ._._._._._. both square and triangle, unlike hexagon, VI ._._._._._._. Rook cannot triangulate. Rook circumnavigating ._._._._._._._. the board goes 50-3-64-51 ending over one cell ._._._._._._._._. from origination whilst not entering #1 -- (Level VIII 50-64) contrasted to squares' 4-move circumnavigation. Rook mandatorily switches Bishop binding precisely from turn to turn, like Knight does in squares. Knight's two-step through side or vertex is colourbound, enabling two types, corner and interior, as with Bishops; alternatively let the two Knights have the Pawn-capturing one-step through vertex at option for neater colourswitching availability in one pure Equine piece-type. On standard 64 the corner Bishop reaches 36 spaces and the interior Bishop 28 spaces for necessary magnified value differential at about 3.5 to 2.5. Strong omni-Pawns work best, one-stepping through side to move and vertex to capture. Promotion should exclude Queen. The opening imperative for the first ten moves is tug between Castling King from array 50 and 64 on one hand and control of valuable real estate, the center, triangles 21, 30, 31, 32. Whoso controls those four will have the presumptive edge, other things being equal. Ironically, King Castling to 26 is counterintuitively rather towards that center, but he does not wish to step any closer. Scads of equilateral triangular boards are possible from about 4^4^4 to about 16^16^16 each with its untold THOUSANDS of VARIANTS of core classical Chess on the triadic theme. Use your imagination: two-move, AMAZON, Fischer arrays, NIGHTRIDER, cylindrical, royal Knight, you name it.
64- . Artificially, Squares have that extra cell ._. unnecessary side, making four. Sans board ._._. 2-4 rank and sans file, Triangles have Cell ._._._. III and Level, redundantly for convenience. ._._._._. IV Corner Bishop triangles are 1,2,4,5,7,9,10... ._._._._._. V With one compulsory horizontal side, there are ._._._._._._. only two orientations and so two types of cells, ._._._._._._._. up and down. Corner Bishop's are /_\ and ._._._._._._._._. Interior Bishop's the opposite, down, at a (Level VIII 50-64) glance. For annotative intricacy, if (Cell + Level) is even, it is corner Bishop cell. Such as 'Level VII Cell 48' is odd and belongs to interior Bishop. Interior Bishop reaches 28 and corner Bishop 36. That fits in that the board is 8^8^8 and 36-8 = 28. How about a colourbound Knight on these primitive superior equiangular triangles? Rather than two Knight-types, additionally allow Knight diagonal through vertex one-step at option -- making one pure Knight piece-type and eliminating the prospect of detracting colourboundedness. The only other uses of that Knight-vertex-diagonal one-step are King himself and Pawn capture-mode, since Bishop (and Queen) has different actuation. Then Knight, like Rook, reaches all the cells and becomes of somewhat more value than either Bishop in triangles. R > N > corner B > interior B. That the omni-Pawn has higher value than interior Bishop is yet unconfirmed, but they are pretty close. The better CV here appears to dispense with one Rook, as KQRBBNNPPPPPP. Six Pawns and one Rook. Promotion to R,N,B at opposite side excluding the Cell 1 Level I. Kings start at 50 and 64. Array-placement mobilization is by order: Black put 1/2 pieces, White 1/2, Black 1/2, White 1/2, White Pawns, Black Pawns. White moves first. All else strict standard F.I.D.E. -- sans squares.
CV designers might learn to advance Caissa's future not their own well-deserved artistry for art's sake. Turn the beat around, starting with Pawns. Literally, start with Pawns as born before pieces. First, come up with a really good Pawn-type on your own. Only then, after Pawn is polished and perfected, REVERSE ENGINEER appropriate rules and pieces for best effect. On average, they, Pawns, are half the forces, are they not? The better half. So why are Pawns dealt with in last-paragraph patchwork of rules-sets? Designers are treating their pawns like afterthoughts when they need front placing as order of the day. Here is example of brand-new Pawn-type class, the Contingency Pawn, in specific algorithmic development. (Step One) The inventive step(!): Pawn only moves after her orthogonal piece behind has left the array position! This step may be facilitated but never controlled, being unfathomable. (Step Two) Since Step One happens to be radical enough here, contingency Pawn's move should be regular standard F.i.d.e. 8x10 and standard Eurasian with North capture too 10x10. Inseparable initial two-step and En Passant apply both cases, like Railroad engine and caboose. (Step Three) Cold calculation. What piece-types can leave array before pawns have moved? It should spring to mind. Leapers and leapers, j.c. It is not necessary to have all leapers, though, because once several leap, lots of adjacent lines open for diagonal- and hook-movers. Leapers should predominate, or reach 1/2, so openings are not too channelled. Result, initial array: Bison-Gryphon-Bishop-Knight-Amazon-King-Knight-Bishop-Gryphon-Bison. (Step Five) Polish the details of this CONTINGENCY PAWN. Stipulate free castling with either array-corner Bison. Eliminate all other ambiguities. (Step Six) Realize this is a PAWN-CLASS and many other Contigencies are possible, arguable infinite but probably not, so do not tiresomely claim one CV only, but thousands, and more. //// Following these slashes are other CVs, Contingency Pawns-like, after all the above is called Mode A; Modes B, C, D.... //// alternative Mode B> Pawn moves only if following an ''event,'' defined as a check or a capture; [To this exact very day, six(6) years ago, I defined an event, which should be everybody's basic CV vocabulary, as http://www.chessvariants.org/index/displaycomment.php?commentid=5482.] C> Pawn contingency enables extra option of non-capturing move up to number of her rank or her file; D> Cont. Pawn, as f.i.d.e. or Eurasian, only moves on odd-numbered turns; E> Cont. Pawn only moves if adjacent to three+ same-side units, which holds in array of course, to the tune of five, or four, adjacent, more than enough.
The Contingency Pawn is stuck until her counterpart-piece behind moves away. Pieces move, then Pawns. Since 13th-century Gryphon may stop at one diagonal before the 45-degree orthogonal continuation, all Pawns are protected in: Bison-Gryphon-Bishop-Knight-Amazon-King-N-Bp-G-Bn. Board is 8x10. If expecting opening like d2-d4 or e2-e4, think again. Knight must move first d1-c3, and then anytime later d2-d4 or d2-d3 is permissible for that Contingency Pawn. Likewise Amazon moves out e1-f3, enabling Cont. Pawn in e-file to follow soon with e2-e4. The whole back rank potentially opens up that way, but piece in Rank 1 must always precede his Cont. Pawn Rank 2 of same file. Net result is no dilly-dally opening development as pieces exit first. If Chessist Lewis Carroll invented her, he might write, mixing it up like the movies: ''Mome Gryphon, Slithy Jabberwock/ In frumious opening hammerlock/ 'Twas brillig of the vorpal score/ Gyre, gimble to e-4 no more./ Mock mimsy pieces' beamish way/ Contingent Pawns uffish delay.'' http://www.jabberwocky.com/carroll/jabber/jabberwocky.html
700-year-old hook-moving Gryphon protects Bison Pawns a and j in Bn-G-Bp-N-Amazon-K-N-Bp-G-Bn. All other pawns are twice array-protected and thrice by the King. So required ''piece-developed-first'' does not play havoc with early pawn attacks. They just are no more feasible than usual. If 1 Bison a1-b4, 1 ...N-c6 quickly doubly protects Black Pawn-a7; and so on. In Contingency Pawn CVs, pieces must draw out the Pawns, preceding them. No 'e2-e4' until Amazon behind has moved away! Central King Pawn-f2 is array-stuck until King himself castles or is forced from his beginning f1. Recognizable mid-games are nil, because here pieces fronting the Pawns tend to form outer shield, an advance perimetre, for the Pawns within. Mid-games involve some back-protecting of forward pieces who will want to return behind relative safety of Pawn phalanxes. Contingency Pawn games may benefit from other optional contingency. One, sides may agree in advance a subvariant each Pawn has additional non-capturing forward-advance option according to number of her present rank position. It perfectly fits the initial-array rank-two optional two-step: 2 and 2. Then rank three a three-step (3 and 3) to rank 6, and rank four to eight (4 and 4) and instant promotion. Reverses for Black. Usually those three-steppings and four-steppings with the board but eight-deep are solidly blocked. Since the year 1500, Pawn initial two-step has always had this IMPLICIT rare three-step and four-step from ranks 3 and 4 respectively by plain sheer logic, insofar as the pro-active ability hinges on her rank. You just do not see it a lot. In future, when sitting for Chess, ''do you play two-step?'' means also three/rank-3 and four/rank-4 as inclusive package-mutator for variegated Cont. Pawns. The spice of life.
The Contingency Pawn cannot move until her piece has once. Cont. Pawn cannot even capture before of course by the rule, necessitating a look at Rank 3/8. The 8x10 array is Bison-Gryphon-Bishop-Knight-Amazon-King-Knight-Bishop-Gryphon-Bison, covering all Pawns thrice, twice, or once at least. The Cont.-Pawn Mutator exponentially speeds development in having each piece come forth first and his Pawn sometime second. There are no real immediate mate threats or likely fool's mate because of adequate counterplay by familiar leapers Bison, (partially) Amazon, and Knight. It is peculiar that Bison, Gryphon, and Bishop are unprotected in the starting array, like Rook is not in RNBQKBNR; but it does not present a problem, because Knight's first move opens Amazon to guard Bishop. Next, most rank-three squares are protected even without Pawn's one-step diagonal (capture) by those leading leaping back-rankers. Only a3, b3, i3, j3 need rationalization as unguarded. Well, once Bison leaps, Pawn-a2 inevitably immediately covers b3-kindreds by the very mutating-rule itself, like Scylla and Charybdis or like proverbial Horse and Carriage. That is ex post protection enough, being in just one move only. And it leaves only a3-counterparts still to consider explaining away. 'a3' is far off to be worrisome to King. So this question is just matter of cheap exchanges. Now opposite Bisons cannot reach the (empty) a3, or a6 or j3 or j6, in two moves. Perfect. Nor can Knights. Only Amazon can. So, if 'Amazon 1 ...e8-d6' threatens vacant but somehow awkward a3, with all the ramifications, if any, of occupation of same, requiring to be sure in the real world hypothetical follow-up same-side supporting cast anon for full effect -- simply '2 Bison j1-g3(!)' from the opposite corner! Then if Amazon were dare to try the empty post by 'X ...d6-a3', '[X+1] Bison g3-d5' would fork King and Amazon, potentially only on the third, or even second move if White were the one starting off provocatively that way instead! In fact, those earliest possible cases would actually be the obligatory fool's mates to find too. So that in overview, no, there do not appear to be any highly or even moderately deficient spaces, not even one, among the 30 squares a1-j1, a2-j2, a3-j3. Cont. Pawns as one Way/Wave/Grave of the future, are any two CVs alike? Thankfully, like snowflakes, of course not. Any one CV of CVPage 1000 CVs could and should warrant its own library of 10000 volumes in analysis one per designee.
When Pawns are Contingency in antique standard 8x8, RNBQKBNR, there are four openings: N-a3, N-c3, N-f3, N-h3. Once Knight is out, Knight Cont. Pawn can move b2-b3 or b2-b4. In the normal game, from b3 she has immediate three-step option to b6, from which she can capture to a7 or c7, the black Pawn row. So Black needs to hurry up development of Black-b-Knight and/or b-Pawn. The four-step option from rank-four, and promotion that way rank-8, is unlikely to avail before late mid-game even as a threat. Once the Knight Cont. Pawn is moved, Bishop has an easy way out, and Rook or Queen can slide over to where Knight and Bishop began, so it is pretty regular development by then. Pieces generally have formation ahead of lagging Pawn phalanxes. Contingency Pawn speeds development on any size board, smallish 8x8 here as well. Mastery of principles of cadence enables Pawns to keep pace behind the Pieces. To protect King, there are normal castling and also free use of d2-d3 and e2-e3 to form centrally a safety palace for the King to situate, ''palacing'' in jargon. Contingency Pawns work far better than diagonal Berolina. They prohibit generalized three-stepping by typical Pawns for 10-deep boards. '10x10' then also includes five-stepping option from rank 5 with immediate promotion, to go with two 2, three rank 3, and four rank 4. Thus ''opening two-step'' from rank 2 amplifies logically to all the conceivable others. With these indicated full ''rank options,'' the alternative step always matching the present rank of the Pawn as a matter of course, the perfect ratio of power Pawns/Pieces is maintained more or less exactly as to have its delta indeterminant from CV to CV. One of the constants of nature within everlasting diversity in professional CV design.
All F.i.d.e. rules apply. Superficially, you might think, since Contingency Pawns are immobilized, Knight has a quick fool's mate. Not so. If 1 N b1-c3 N g8-f6 2 N c3-b5, then 2 ... N f6-e4, and Black Knight is inviolate thwarting any checking move to d6, since White Pawns cannot move either, although himself, the Knight, off-centre for the same finale on the White King. If then the g1-Knight starts out, that gives Black time to move Pawn g7 and exit the Bishop. If instead, contrary to move towards King, White moves 2 Pawn b2-b3, that Pawn can any move later advance three whilst unimpeded b3-b6 by the RANK OBLIGATION. Yet from b6 she has no evident advantage to take a7 or c7 because she can be gobbled immediately by Rook or Queen. So it goes in normal development needing long-term planning not subject to fast fixes and fusses. Being possible Computer may find an opening spoiler, baffler or outright cook, as designers, we just hereby now give King the mediaeval one-time King's leap Knight-like -- which should be sufficient in the event -- as final add-on rule accompanying the Contingency Pawn Mutator just in case. Moreover, King's Leap and obligatory Knight openings are aesthetic pair. Thus in the large, King may Castle as usual, maneuvre with central Pawns to ''palace,'' or exercise King's leap once only. After a Castle, no King's leap allowed, but the singular Leap and routine palacing are very mutually compatible. Little 8x8 is not the main feature for Contingency Pawns, rather 8x10 and 10x10, which are having ancient 13-century Gryphon and new-fangled Bison (who is liberally applied unnuanced Falcon, invented 1992).
In sum, on 8x8 there can be no opening R-a1 x R-a8 because of the intervening Pawn rows, despite Rooks' 1400-year unprotection in the array. Is one or another a fallacy? Now Contigency Pawns initially are inert, but capturable, and serve the purpose to separate all the pieces paired across, not just Rooks. Once Rook has moved, C. Pawn-a2 instantly acquires her full normal power, and the same for all Pieces having to precede their corresponding C. Pawn. In fact, C. Pawns become stronger than f.i.d.e. orthodox Pawns on account of the accompanying RANK OBLIGATION. Most observers have been familiar with rank-two two-step since youth. Actually, if free and clear ahead, options two-step from rank 2, three-step rank 3, and four-step rank 4 all obtain, along with the regular divergent one-step. ''Divergent'' because of the move and capture divergence, now taken for granted, unique for Pawn. Contingency Pawn too captures always one step diagonal. Now 'square-e4' is likeliest to become occupied by opposing Knight from g8 to f6 to e4, as White 'Pawn e2-e4' is impossible until King has moved sometime later, either castling or one-stepping. More symmetry holds than usual, matching Piece and Pawn, and Pawns can no longer seem to be loose cannons trying utmost to lead development. No more the sitting to Chess and just pushing Pawn, in hope for the best, or least bad outcome. Over the board, literally touching Cont. Pawn in error is light matter, if and when she cannot anyway move yet. [Incidentally, when player touches Knight at say h8 with his own-side pieces situated nearby at f7 and g6, what persistent obligation can there be? None whatsoever.]
RNBQKBNR. Middles Ages Knight's Leap perfectly matches the Contingency Pawn since Knight has the only standard leap; if one attacks, King easily takes Knight. That would be either K x d3 or K x f3. Then at once Pawn e2-e4 becomes belated possibility, and King is unhurt within palace protection potential by stepping to e3 or e2 behind the dilatory but effective e-Pawn -- 'e' for effective. So Contingency Pawn brings but little baggage: Knight's Leap and the Rank Obligation. Player faces all nine situations in stages progressive: all eight Pawns inert in starting array; seven inert one activated; six two; five three; four four; three five; two six; one seven; and all eight mobilizable. They are of course not at any time compelled to move or capture, but gain the capability upon each Piece behind her exiting. In interims, one or several Pawns may be haplessly captured before moved or moveable. Thus capture and move ability are coterminus and inseparable, triggered by the Piece. One by one by one whilst so long as Piece has his matching Pawn fronting him, as Chess is played. Piece moves once, then Pawn is free at last and once. The only inconvenience keeping track is infrequent return of Piece when Pawn remains free upon the pre-existing contingency. Pawns inert at first are counter-intuitive and chilling but necessary, and otherwise paired Pieces would openly face each other down such as crazy opening '1 R a1 x a8'. No way. The initial passive Pawn rows are vital extravagance, employing neither drops nor so-called ''gating'' from outside, as best way later to enter the fray, present hidden force the Pawns herself. Pawns will achieve more respect as their strength grows -- referring now to the RANK OBLIGATION, which progresses Rank Two to Rank Three to Rank Four. Pawn naturally slides unimpeded to the final rank and promotion, when the way is thoroughly clear. For example, 'd4-d8 promotes to Queen' implies d5, d6 and d7 vacant, having neither sides Pieces or Pawns in occupation. This promotion sometimes even occurs in the two minimal efficient steps only, like 'h2-h4' then 'h4-h8'. More mutation, than promotion that would be. Or evolution as retribution. [Deservedly off-subject ill-effect analogy: as some ''evolved'' ''homo sapiens economicus stupidus'' or whoever now destroys in our very little lifetime species and ecologies along with the incidental weather, and it is rude taboo even mentioning the biggest events since the dinosaur extraterrestrial impact in quite some time.]
The Contingency Pawn actually expands opening possibilities. There is a world championship on right now, http://www.chessbase.com/newsdetail.asp?newsid=6290. So far in four games, what did they open with? game 1, Pawn-d4; game 2, Pawn-d4; game 3, Pawn-d4; game 4, Pawn-d4. How many CVs would have such channeled same-old opening obsession? Maybe none. If Anand and Topalov were playing Great Shatranj, they would not be duplicating openings from last decade and century. If A. and T. were playing representative Schoolbook Chess for the world championship instead of their particular entrenched-orthodoxy strong Queen Shatranj that everybody knows and loves/hates, there would not be the same first fifteen moves for the thousandth time. Specific Contingency Pawn explained this thread on 8x8 can have openings N-a3, N-c3, N-f3, and N-h3. Each one is different. All four would be used, and 'd4' or 'e4' would really be illegal. 'd4' is illegal because Pawn cannot move until her piece behind has. Opening books become passe one way or another. Computers a while will waffle helplessly. The best players may reside in unknown hinterlands, not cosmopolitan Europe. The lure of unknown futures ripe with chance, fraught with challenge, not robotic control's electronic feudalism under which we mostly live bent on absolute homogenization. Rhymie-stymie: 'Collect' proves correct moves connect grooves.
Off the grid. Make your piece-moves self-sustaining. As it were, bio-diverse: Camel, Zebra, Squirrel, Frog, Eagle, Bison, Hawk, Scorpion. Proliferation in its time. Shove a pawn and the same pawn and that's a crime. It is just illegal by Contingency Pawns' having their rights revoked. No right of first refusal, but in toto negation and denial. There is always some related cross-category contrarian CV milieu. Here try Anti-King, Berolina, Losing Chess, Cylindrical, Closing Time for also subverting a usual order in reversal outside the box. Penny for your any thought a sure CV in the making, so write it down. Or plain penny ante in the sense of coins making good piece-markers on bill or napkin at the bar. Contingency Pawn King must move once before his e-Pawn can begin. It is the same rule for all the pieces. A typical opening series, 1 N-f3, 2 g2-g3, 3 B-g2, and White King indeed is able to move as early as fourth, though Pawns but two remain immobile. '4 King e1-f1', vacated by the Bishop thankfully for King safety, is one alternative. Freed at last, '5 Pawn e2-e4', and the Queen stepping forward one subsequently helping protect King some interim -- reasonable strategical logistic as ironically more powerful Contingency Pawns always delay unavoidably in development. By now things return to normal with four Pawns already moveable or moved, and this King has only forfeited castling for safety. The second and more common substitute preference is that Castling, as these three move, then '4 0-0' g-Pawn having advanced beforehand (so watch the Bishop lines), getting used to new formations.
>>>If A. and T. were playing representative Schoolbook Chess for the
world championship ..... >>.
Why should they? They don't want to.
Sure some chess players like variants but only a few --
Sure some chess players like variants but only a few --
I could say the same thing if only A and T were to play: Displacement Chess 2 or Fischer Random. In the end, a chess variant will have to stand on its own by attracting new players and not depend on those who play the orthodox variety to switch to this new game.
Super-Chimera and hyper-Chimera draw on these for their definitions: http://www.chessvariants.org/large.dir/contest84/ramayanachess.html, http://www.chessvariants.org/diffmove.dir/hfantasy.html, http://www.chessvariants.org/index/displaycomment.php?commentid=24314.
Dear Mr. Duke: You don't know how much pleased I am for your quoting in thoughts. In a time that Ive been feeling unapreciated in my job, see a person half-world away that I admire quoting me as 'brain food' gives me the strenght to keep going. Hugs
Wazir origination pre-modern Chess provokes re-look at officially-sanctioned minimal topic of Chess history. Chess Cafe Archives on history of Chess links work from here:
http://www.chesscafe.com/archives/archives.htm. The two to note are Burt Hochberg's 'Perspectives,' which lasted a year 1997-1998, and Tim Harding's 'The Kibitzer.' In fact, Hochberg's first two installments are on variations of Chess historically.
http://www.chesscafe.com/archives/archives.htm#Perspectives.
Harding's December 1998 the same time period is on free castling as revising, or reverting, their trite, stale monotony: http://www.chesscafe.com/text/kibitz31.txt. Instead, for the most part, grandmasters must still think their game sprang from Dryads,
http://www.chessdryad.com/caissa/caissa.htm.
/a>
The first one Tetraktys is just 9 cells: http://www.chessvariants.org/index/displaycomment.php?commentid=25183.
http://www.chessvariants.org/index/displaycomment.php?commentid=26784, http://www.chessvariants.org/index/displaycomment.php?commentid=26783. Six of th 30 result in: BQ 2 to mate; WQ 3; B-f1 3; B-f8 3; N-g8 6 to mate; N-g1 7 to mate. Now a new one, Rook-h8 can mate unassisted by a fellow in 8 moves from the 500-year-old array RNBQKBNR as follows: 1 e4 d5 2 e4xd5 Qxd5 3 a3 (''waiting'') B c8-g4 4 b3 (waiting) B g4-f3 5 g2xf3 Q d5-d3 6 c2xd3 h5 7 K e1-e2 R h8-h6 8 h3 (waiting) R h6-e6#. Checkmate by Rook alone from standard array. We can easily generalize in follow-up table to the other Rooks. How closely Queen-side Bishop and Knight work to the solved King-side cases is yet to determine, but within view. What about Pawns? In perfect case this problem sub-genre, Pawn can/must be covered by any one piece, unlike when Piece is the candidate checker, but still Pawn must ''unassisted'' complete Mate. Can Pawn-a7 deliver mate unassisted and without promotion and how quickly? Is 10 moves still possible? [http://www.chessvariants.org/index/displaycomment.php?commentid=26782. ChessboardMath11 has nearly overflow 25 comments where Helpmates started with the three link-comments.]
http://www.chessbase.com/puzzle/puzz03a.htm, there Loyd's mate in 5 requires the unexpected Pawn to promote to Queen for the task. The Helpmate problem at issue now is whether from the starting array Black Pawn-a7 can deliver mate with no other piece assisting in 9 moves and without promotion -- of course as Helpmate White moves favourably towards the end result. http://en.wikipedia.org/wiki/Excelsior_(chess_problem)
Through favourable winds Black pawn-a7 mates unassisted at the end: 1 b4 N-h6 2 b5 N-g4 3 b6 a7xb6 4 c4 h6 (waiting) 5 c5 b6xc5 6 d4 c5xd4 7 B c1-e3 d4xe3 8 N b1-d2 e3xf2# So eight moves suffice Pawn-a7 unaided. The supra-genre from which ordinary Helpmates derive begins with the array RNBQKBNR, as above for the Pawn-type. No longer ''Fairies,'' Helpmates are officially now sanctioned to be as Orthodox as Direct Mates. Yet they did not start Helpmates 100-150 years ago logically out of the starting array. Except Fool's Mate, these are being enumerated only now. There was preoccupation with the new world championship cycles, Morphy, Steinitz, Lasker, coincident with the sporadic Heterodox revolt. Connect the dots. Two opposing streams: Orthodoxy further dictated by the 1920s, and Heterodoxy, beaten back practically unnoticed, they hoped eradicated. Still ask an expert fide-style, what, on the board-array he/she uses over and over and over, what is the minimum possible check-mate achievable by Black King-pawn-e7 unaided? Blank look. 6. Not a trick question. Six. funky donkey/clunky honky/spunky monkey. e5, e4, e3, N-h6, -g4, e3xf2#. The six moves for e-pawn Helpmated, duals okay, would go by Black as just before. http://en.wikisource.org/wiki/The_Fifth_Book/Chapter_XXV
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