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Ninety-one and a Half Trillion Falcon Chess Variants. Missing description[All Comments] [Add Comment or Rating]
George Duke wrote on 2007-11-09 UTC
OrthoChess apologists like to say religiously there are more possible chess games than atoms in the Universe. We have all read that in Chess columns when they get defensive. [Continued below] Rule Number 26, Selective Immobilization: a) No effect (The following differ from RN 24 'Stoning' in that this Immobilization persists.) b) In addition to normal power, Knight immobilizes adjacent enemy piece or pawn. c) Both Knight and Falcon have the Immobilization effect. d) The power for Knight only is Betza's Basilisk-like along line of attack. e) The capability for Knight is Betza's Medusa-like only if opposing piece/pawn (along its line of attack) can 'see' the Knight. f) Version 26d applies to Knight and Falcon. g) Version 26e applies to N & F. h) The immobilizing ability of 26b excludes Pawns. Cumulative: 23,986,176,000,000,000,000. //[Continued] As far as Chess games exceeding number of atoms, they mean of course game scores of 64-square (32-piece) Chess. What they do not tell you is that includes millions of ridiculous games computer-generated like moving White Bishop repeatedly e4-d5-e4-d5-e4-d5-e4 (because Black is moving too, so no 3-fold repetition). The next '91.5 Trillion...' Comment we will develop how the potential number of game scores compares to atoms (and number of elementary particles) in Universe, considerably fewer than a Googol (10 to 100th). Also whether even the number of CVs, let alone scores, is a Cantorian continuum or merely infinity of the Natural numbers, Aleph-naught. What Cardinality has the number of Chess Variations? Which of the two infinities are CVs, countable or otherwise(C)?