Fibonacci nim is played with a pile of coins. The number of coins in this pile, 21, is a Fibonacci number, so a game starting with this pile and played optimally will be won by the second player.
Fibonacci nim is a mathematical subtraction game, a variant of the game of nim. Players alternate removing coins from a pile, on each move taking at most twice as many coins as the previous move, and winning by taking the last coin. The Fibonacci numbers feature heavily in its analysis; in particular, the first player can win if and only if the starting number of coins is not a Fibonacci number. A complete strategy is known for best play in games with a single pile of counters, but not for variants of the game with multiple piles.
Fibonaccinim is a mathematical subtraction game, a variant of the game of nim. Players alternate removing coins from a pile, on each move taking at most...
Android Nim Chomp Dr. NIMFibonaccinim Fuzzy game Hackenbush Nimber Notakto Octal games Raymond Redheffer Star (game theory) Subtract a square Tri-nim Turing...
winning positions have density zero among the integers. Fibonaccinim is another variation of nim in which the allowed moves depend on the previous moves...
Egara-guti En Gehé Entropy (1977) Epaminondas Fanorona Felli Fetaix Fibonaccinim Fitchneal Five-field kono Four-field kono Fox games, such as fox and...
solution involves the Fibonacci numbers. The Wythoff array, a two-dimensional array of numbers related to this game and to the Fibonacci sequence, is also...
as first parameter: auto fibonacci = [](this auto self, int n) { return n <= 1 ? n : self(n - 1) + self(n - 2); }; fibonacci(7); // 13 In addition to...
of tantalizing fallacies of mathematics 1958 Feb Concerning the game of Nim and its mathematical analysis 1958 Mar About left- and right-handedness,...
elementary cellular automata? Are the nim-sequences of all finite octal games eventually periodic? Is the nim-sequence of Grundy's game eventually periodic...
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