"second player wins"

Key Phrases: Scientific American, New York, Piet Hein, American Mathematical Monthly, Mathematics Magazine, John Horton Conway, infinite cartwheel pattern, smallest complete graph, basic losers, negative coconuts, unexpected egg, force nonperiodicity (see more)

Key Phrases: Scientific American, New York, Piet Hein, American Mathematical Monthly, Mathematics Magazine, John Horton Conway, Mathematical Gazette, Princeton University, American Mathematical Society, Cambridge University Press, Mathematical Intelligencer, Oxford University Press, New Scientist, Science News, Brussels Sprouts, Martin Gardner, Academic Press, Basic Books, Lewis Carroll, Mathematical Association of America, American Scientist, Bertrand Russell, University of California, Donald Knuth, Scott Kim, infinite cartwheel pattern, smallest complete graph, basic losers, negative coconuts, unexpected egg, force nonperiodicity, replicating order, psi motor, coconut problem, stochastic music, prediction paradox, unexpected hanging, psychic motor, monochromatic triangle, second player wins, penalty cards, endless hierarchy, recreational mathematics, surreal numbers, avoidance games, integral fraction, final packet, brownian noise, diagonal proof, voting paradox (see less)

Key Phrases: Pigeon Hole Principle, Prove Pick, Fundamental Theorem of Arithmetic, Tea Party, number base system, mathematical battle, use remainders modulo, odd vertices, consecutive natural numbers, pendant vertex, divisibility tests, second player wins (see more)

Key Phrases: Pigeon Hole Principle, Prove Pick, Fundamental Theorem of Arithmetic, Tea Party, number base system, mathematical battle, use remainders modulo, odd vertices, consecutive natural numbers, pendant vertex, divisibility tests, second player wins, mathematical contests, first player wins, inductive step, prove that the number, genuine coin, mathematical circles, same remainder, winning positions, inductive assumption (see less)

Key Phrases: Gardner's Workout, Scientific American, New York, Red King, Mathematics Magazine, Workout Figure, unattacked cells, bent tromino, serial isogons, largest equilateral triangle, new new math, digital root (see more)

Key Phrases: Gardner's Workout, Scientific American, New York, Red King, Mathematics Magazine, Workout Figure, Donald Knuth, Math Horizons, Journal of Recreational Mathematics, Garcjner's Workout, Red Queen, American Mathematical Monthly, Bell Labs, Richard Guy, Bernadette Kelly, Dame Kathleen, John Conway, Lee Sallows, Leon Bankoff, Mathematics Teacher, The Mathematical Gazette, University of California, Andy Liu, Charles Ashbacher, Crux Mathematicorum, unattacked cells, bent tromino, serial isogons, largest equilateral triangle, new new math, digital root, two main diagonals, second player wins, odd cells, prime square, consecutive primes, minimal trees, magic sum, congruent parts, recreational mathematics, magic squares, vacant cells, article first appeared, fuzzy math, largest square, black counter, adjacent digits, white counter, arithmetic progression, math teaching (see less)

Key Phrases: New York, Scientific American, Plane Geometry, American Mathematical Monthly, Journal of Recreational Mathematics, Solid Geometry, algorithmic puzzles, additive persistence, incomparable rectangles, first black ace, reentrant tour, nim sum (see more)

Key Phrases: New York, Scientific American, Plane Geometry, American Mathematical Monthly, Journal of Recreational Mathematics, Solid Geometry, Mathematics Magazine, Word Ways, Raymond Smullyan, Physical Objects, The Mathematical Gazette, Henry Ernest Dudeney, Lewis Carroll, North Pole, Journal of Combinatorial Theory, Washington High, John Harris, Scripta Mathematica, Fitch Cheney, Dmitri Borgmann, New Jersey, Oxford University Press, John Horton Conway, Sam Loyd, Robert Abbott, algorithmic puzzles, additive persistence, incomparable rectangles, first black ace, reentrant tour, nim sum, digital root, dragon curve, whim move, gray cube, acute isosceles, geometric puzzles, counting rotations, spin the table, acute triangles (see less)