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(3) The Fourriere Falcon, enunciated by Antoine in 2004, operates in two legs. First Knight leap to (2,3) requires vacancy or the move is dis-allowed. Second the slide (or leap, according to your preference of visualization) to the (2,4) or (3,4) square. There is no stopping at (2,3). Fourriere Falcon is handy for early acclimatization to the fact there are four fundamentals, not three, lodged as it is in the leaping Horseman. Quick study Antoine subsequently revised the comment omitting the description once he realized within the day the full impact of the regular Falcon modality.
''Being blockable'': I think 70-80 of the following will be being blockable, the essence of the conception and applicable to Bishop and Rook too, the norm after all for 6 of 7 chess pieces. (4) We shall have 100 versions of the piece. The number four version of Falcon is MARSH HAWK. Marsh Hawk flies low and slowly, a sight to behold. (Species M.H. suffers from the general loss of amphibeans worldwide as a result, to M.H., of pointless destructive civilisation population-exploded.) Like Osprey, switch-backing piece-type M.H. follows only Rook-lines, but has different modality. MARSH HAWK does have 3 legs like OSPREY. M.H. first leg is either 2 or 3 or 4 steps in one orthogonal direction. M.H. can only move to the Camel(2,4) or Zebra(3,4) square from behind orthogonally one step, or sideways if after two prior legs. So, M.H. second leg, upon 90-degree turn, is also either 2, 3, or 4. The third leg is the (mandatory) one step switching back another 90 degrees. An example from b2 is b2-b3-b4-b5-b6-c6-d6-d5, thus one way to move b2-d5, capturing or not. Blocking is possible at any of the intermediate squares, voiding the pathway. MARSH HAWK. Properly Northern Harrier (Circus cyaneus).
''Which Falcon?,'' asked a friend ten years ago. ''Peregrine.'' ''What, a Horse of a different colour?'' ''Barbary, Gyrfalcon, Lanner, Laughing...'' ''What's the colour of a different Horse?'' ''Behold a pale horse.'' Version (5) of the piece is Pigeon Hawk. P.H. lacks the middle leg, the split block and split diagonal. P.H. has no S-D-S or D-S-D. Instead only straight-straight-diagonal, s-d-d, d-d-s and d-s-s directly to its pathway with no twists. Pigeon hawk you may even see (not so good as she) in your artificial city, being adaptable, Genus Falco (all of these). Merlin is the other name, Falco columbarius. Falco derives 1st millennium BCE in Latin speaking from falx, ''sickle.'' pale horse is the metaphor, n'est-ce pas?
Version (6) Falcon is common Crow (Corvus brachyrhynchos) having only the split SDS and DSD, like a crooked bishop or crooked rook morphed. Like intelligent Crow, feeding on leftovers or decay, what the PIGEON HAWK also known as MERLIN(#4) lacks belongs to the AMERICAN CROW. Look at him in the parking lot you made of the Earth. He cocks his head repeatedly like ''SDS'' and ''DSD.'' 5 metres away on the ground he knows where you are going: (colon) nowhere. Master of conservation of energy, why fly off, when the Blockhead is going only inside his square vehicle/building? Call him the Counting Crow, being better counter than your 4-year-old, as would be expected of all Corvids genetically. (And of course better counterer constructively than yourself: not saying much at all)
Falcon is first among equals RNBF. Version (7) Falcon Peregrine is the standard chess piece, one of the four fundamentals, the template actually from which Rook derives, from which Knight derives, and from which Bishop derives. Without Falcon, R, N, and B would not exist. PEREGRINE FALCON has the six movement patterns Sraight-Straight-Diagonal, SDD, SDS, DDS, DSS, DSD, in their two mirrors, making twelve. Knight gets his klutzy fully-functional striking-degenerate leap from the Falcon beyond, in that Falcon has so many routes, leaving Knight none whatsoever in plodding placement. Knight belongs too, for where would theory be without that necessary real world? Rook takes the Falcon one- and two-step partials to extremities. Bishop the Falcon diagonal one- and two-step partials toward all four extremities, the 4 directions. They depend for their very existence on Falcon being there, the implicate orderer. Peregrine Falcon (Falco peregrinus) clocks at 322 km./hr. the fastest species in the world. ''The purpose of Life is to break down a gradient.'' --Dorion Sagan
No, you are wrong, Mr. Duke. The truly essential piece is my Gorilla, which moves 4 King moves, capturing up to one, passing up to one piece. The Falcon is obviously derived from this, as it only moves thrice, cannot reverse, and cannot jump. The Knight is derived from it also, for it jumps for the entire journey, whereas my Gorilla jumps for one step. The Rook and Bishop extend its steps. It is moreover a superset because it can capture on any step, rather than the zenith. If you could muster an iota of intelligence, you could see this for yourself.
Moving some of this to CbM6 from Ramayana, we need to go back to Ramayana too for how their pieces traverse the Archipelago. ''Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.'' --Bertrand Russell. How can we be sure of arriving at the equations correctly governing chess laws? To begin with, Ramayana attributes suggest the proportion relations: Buddha:Rook = Bison:Falcon = Rakshasa:Bishop = Knight:(Mao+Moa). Clever, worthwhile, themed Ramayana has board unsymmetrical in extreme, and we need to check all our work each step of the way. Why should Castling and En Passant be both ways? Ramayana excludes en passant, but if it existed, why not only towards the Archipelago, right for Yellow and left for Red. On regular 8x8, 8x10, and 10x10, why have castling long and short, instead of only on the Kingside? Two-side versions of e.p. and castling are too taken for granted. In 4000 CVPage CVs, NOT ONE has en passant and/or castling only to one side of the player or the other, always having both conventionally. (Far lesser rules changes entirely warrant here trivial screed ''new CV'' in fatuous CVPage philosophy: examples from all the historical classics Jetan to Shatranj to Xiangqi. Any tiny change warrants CV of one's own and more-significant-than-many e.p. and/or castling only to one flank are open for use if you need it.) Anyway not only piece-movement symmetry and completeness, but these two special rules require real justification mathematically before burdening people with various rules-sets of the making. ''As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.'' --Einstein
Sheldon Glashow: When I speak of four forces, or you say, ''there are four forces,'' it reminds me of my fifth grade teacher who told us there were seven continents. Eduardo Punset: Wasn't he correct? Glashow: I had never heard of Australia. I certainly never knew the difference between Austria and Australia when my teacher told us there are seven continents. This is the wrong way around. You, and people in general, can't know what physicists mean when we say ''four forces.'' People only know two: if you drop an object it falls to the ground because the ''force of gravity'' exists. And then there is electricity. Punset: That's true. [from Lynn Margulis & E.P., 2007] The parallel is that there are four forces, fundamental chess pieces, making seven units once Rex and Regina embodied, unfulfilled Laeufer-Towers. And Kasparov, Anand, people in general cannot know Chess until they have played it extensively, the full quorum, the spectral ROYGBIV, the whole ball of wax. To real four-force chess, f.i.d.e.-chosen mad queen 8x8 is kid's play, like a puzzle solved. Or like crude rudimentary markings of C.V. art never to be taken seriously. Neither serious any more. Addicted to a measly artifact and its half-truths. Square attitudes: stunted aptitudes: dimensional deficiency.
Premise: Chess ought to be intellectual competitive sport among individuals, like Archery or Running. And CVs avoid one-trick ponies. 200 years ago the Slack-Rope Dancers of Johann Maelzel, the Conflagration of Moscow, and the chess-playing Turk Maelzel bought from Wolfgang von Kempelen through Napoleon. Pre-computer automata all ushering the machine age with automatic looms and hot-air balloons, preoccupying the more-than-half-scientific nerdy elite of so recent a day. Computers are here for now, not yet beginning to be outlawed for good, logical extensions of automata power-driven by Maxwell equations, as of Babbage's theoretical Universal Engine also early 19th century. The Internet. Even if he/she dropped her Math, or Science, major for sociologic Law, or computer science, or business, the near-math types need places to talk shop, let her hair down, picking one another's brains to order. Technocrat-managers, computer-automata, on to surveillance devices, humdrum econometric, and defense-related supercomputers (good for weather). Hence early on CVPage 15 years ago became one among many venues attracting users and/or facilitators. Internet filling every cavity. CVPage (including one sorry nameless case who stressed and inarticulate self-describedly ''projects vomitously'' on other people, the worst sort of offender). All are tolerated where one numeric Chess evolv-ed (-ing) is reference point in full speculative variety. [''You don't need a weatherman to know which way the wind blows.'' --Bob Dylan]
But wait. Historic cultural-rooted CVs actually become fully mathematical under state-of-the-art tooling and treatment -- because they are one-of-a-kind amidst all-purpose math. (As for example the bogus Shroud of Turin submits to scientific analysis as hardly over half a millennium old.) Look at OrthoChess herself under the microscope 100 years now. Before lab testing, ask is the purportedly offered-up ''new CV'' satire? Self-satire? Art or nouveau art? Scientific or subjective tongue-in-cheek? Hostile (to what) or benign? Answer (usually): none of the above. Instead they are to be taken until proven otherwise quasi-artistic self-expression out of the blue. What means but statistico-mathematical to find the rare exceptions? Under scrutiny most CVs in this day could likely turn out to be ham-handed sham products irreverent to origins or direction for the future. Opinion pieces, period pieces many overridden by themes in an excuse. Where is anymore the Sport Chess was intended rather than all Art? Where are the contests of only a decade ago? Unmitigated projection. The effluent society. Conclusion: terminal addiction. Follow-up: Chess, as science and sport both, should stand above every other ''game'': Chatter and scatter, or helter skelter, or pick-up sticks. And not really be subject to comparison at all. It's about like comparing one electric light bulb with a solar flare.
Chess, like geometry, is capable of more than one expression. And I do not speak of the easy out of 3D, 4D, 1D, fractal, 6, whatever boards. Make chess as conservative as you want. Only capture by replacement. Always pawns. Always 2D rectangular board with no holes or other unusual features. No 'special powers' pieces, as immobilizers, ghosts, neutrals. Just the old-fashioned, reasonable simple, easy, and obvious pieces have themes, show directions, indicate blind spots and areas for growth or change. Your Falcon is one fine example of a fuller, more complete design for chess, fitting into a design 'hole' in FIDE. Carlos Cetina's sissa is another such piece, giving another shape to a larger design even if not played on a larger board than FIDE. He found the rook and bishop hidden in the knight, and set them freer. Not free, but bound together into one piece, quarks of the chessboard, they take paths reminiscent of Feynman diagrams, showing disintegrations of opposing positions. Another vision, distant cousin to the falcon, the sissa gives a different picture of chess, one of more power, not less, like the falcon [which, as a shortrange piece, dilutes the power of the infinite sliders], a picture closer to Seirawan's, or Capablanca's, for example. But not every apparent Capa variant is exactly as supposed. One of your games for 2014, Great Shatranj [which does, by the way, have 10 games completed, and others playing, onsite], appears to be a Capa variant, but is not. It rejects the concept of infinite sliders [as much as possible - one must sometimes bow to the demand for rooks, it seems, but it has eliminated bishops and queens utterly, while retaining rooks as merely an unnecessary option], and reduces the moves to 1 or 2 squares at a time, while expanding the leaping ability to essentially all the pieces. This is a theme in a totally different direction, giving a game which is pure chess and totally different from all the other Capa variants. George, you're saved by my wife's desire to go out now - more later... ;-) Enjoy!
In early computer days 20 years ago, they used to say 'Garbage in, Garbage out' all the time, now the phrase being as out of fashion as a Basic Goto. They cleaned up their acT foR gooD, or else it's taken for granted. D'Arcy Wentworth Thompson: ''It is a remarkable thing, worth pausing to reflect on, that we can pass so easily and in a dozen lines from molecular magnitudes to the dimensions of a Sequoia or a whale. Addition and subtraction, the old arithmetic of the Egyptians, are not powerful enough for such an operation; but the story of the grains of wheat upon the chessboard shewed the way, and Archimedes and Napier elaborated the arithmetic of multiplication.'' [Ed.: British G.B. Shaw always goes ''shew'' too.] Not much point except 75 years ago and before, Chess was referred to in scholarship it seems about 5 or 10 times as much. Now she is referred to not mathematically or intellectually but economically once in a while, a propos some irresponsible ecologically-ignorant capitalist or trader. // Sissa is at the top for originality. The first exception I take to Sissa is duplication of Rook squares. Actually, Sissa's reach to Nightrider squares is better than Nightrider's, because two-path is more interesting than hippety hop.
CVs as art are novelties. Galileo on novelties: ''In the matter of introducing novelties. And who can doubt that it will lead to the worst disorders when minds created free by God are compelled to submit slavishly to an outside will? When we are told to deny our senses and subject them to the whim of others? When people devoid of whatsoever competence are made judges over experts and are granted authority to treat them as they please. These are the novelites which are apt to bring about the ruin of commonwealths and the subversion of the state.'' --written by his handwriting in the margin of own copy of 'Dialogue on the Great World Systems' [Coincidentally in 1642 only a couple years later Fermat wrote in the margin of a book that proof of Fermat's Last Theorem, Diophantine n > 2, ''Hanc marginis exiguitas non caperet,'' and so Wiles had to prove it in 1993.]
Now the dissenting view in Copernican-Galilean astronomy [metaphorically to do with Chess, and unfortunately cv artwork pandered as games, also] was once the majority: ''There are seven windows in the head, two nostrils, two eyes, two ears, and a mouth; so in the heavens there are two favourable stars, two unpropitious, two luminaries, and Mercury [the Bishop] alone undecided and indifferent. From which and many other similar phenomena, such as the seven metals, which it were tedious to enumerate, we gather that the number of planets is necessarily seven.'' --Francesco Sizzi in argument against Galileo's discovery of the satellites of Jupiter
Throughout history there have been occasions where persons have purged society's database. Libraries burned, authors executed, inventions destroyed. All for the reason of simplifying their existence and controlling the common man. Did this improve mankind's state? Or did this actually cripple mankind's intellectual evolution? The latter was most likely the case. Chess has evolved from simplicity to it current complexity. The thinking person would realize that it will continue to evolve in complexity rather than slide back into simplicity. If only to continue to challenge the mind. Whereas, before the last of half of the twentieth century, most people had little contact with others outside their direct environment. Their exposure to ideas outside that environment was rare or often slow to arrive. Now, with the Net, all those developing concepts which might have gone un-noticed can be presented to an enormous audience. To evaluate and/or play. No one should be forced to appreciate any particular form of game. This would be self-defeating of the concept of play. Which is a part of the very nature of humans. Likewise, those who desire to either promote a particular form of play or do not appreciate other forms should respect their fellow players. If they desire to apply particular parameters to the development of their particular games, they are well within their rights. But to demand such compliance from others is only a high state of hubris. Consider a mind which has existed within a 'box', surrounding by what it knows within this domain. If it is allowed to peek outside and view the infinity of chaotic potential, it may recoil in fear rather than amazement(or amusement). Unable to accept or comprehend. Such a mind should not be harassed to accept such a challenge. Merely pitied.
I think Smith gets confused because I quote both Galileo and his stupid accuser and so misses the point. Now Smith's other history is wrong in this respect. Oppositely in fact over the past 100 years, with OrthoChess 64 supreme and founding of F.I.D.E. in 1920s, ''Chess'' to the masses has unfortunately shrunk to one form, played in rapids and blindfold for ''variety.'' It is far cry from Capablanca promoting 8x10 Chess and playing a large double chess on 8x16, and broadminded Capa's and Lasker's trying several others. It is far cry from 100 years ago when popular Kriegspiel was co-equal to OrthoChess among highly-educated. I believe contrary to Smith's assertions, I am constantly relating acceptable CVs to other spheres of learning and challenge. Smith's comment is further off the mark in that, if you run a test of 100 or 1000 questions, I would shew more knowledge of CVs than probably anyone else in the world (certainly anyone around here, because of knowing 100s of patents too). Appreciation of CVs goes deep in threads CBM-I, -II ... -VI, and other ongoing threads. The system needed is two-track not artwork alone. CVPage is the bastion of orthodoxy, not George Duke or Seirawan or anybody else, promoting as it does OrthoChess 64 squares 500 years old, often saying the Mad Queen is here for good (very unlikely), to the extent CVPage does nothing with the material it has first collected and then now basely encouraged to proliferate. No one cares about the next CVPage ''CV'' never to be played but bandied as artistic, notwithstanding declining originality across the board. Not to mention increasing insensitivity to prior occasions of uses of pieces and rules by other inventors, involving often mere tweaking of minutiae to claim ''new CV.'' Those are the problems to be taken seriously and in enjoyment. The pointlessness of Art for art's sake. Instead, let's somehow begin to get the word out that there is some worthwhile material within these pages. Somewhere we can find it, often referred to as the hidden 1-2% of CVs, still remarkably numbering several hundred. Another string of comments attempts that constructively at related user-created ''NextChess-1 -2...''
Maybe Gilman already has SO, Sideways only? Anyway, a new piece class for Gilman's system can be the Jabberwockies. Gilman's FO has ''directions moving more ranks forward than files sideways'' in M&Bxx. Jabberwockies are *more files sideways than ranks forward*. Betza has some wide-only Knight that shows the idea. The class of pieces should be for Gilman's number '28', because 28 is a perfect number (1+2+4+7+14=28). Some Jabberwockies are flip pieces, most are not. Flipping is optional at end of move, or player may flip without moving, in lieu of turn. Understand no diagonal move is possible. (1) Jabberwocky himself is compound Knight + Camel. (2) Borogove is flip piece as Knight/ flip mode Wazir. (3) Bandersnatch is Dabbabah plus Knight. (4) Brilligs are weak Trebouchets(0,3). (5) Only King may go all 8 standard directions, of which Jabberwockies as a class only avail E and W. But together all the Jabberwockies, including promotees, conceivable have more than 8 directions because of the ''oblique infinity'' factor different from that radial east and west.
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