4.A.2. SYMMETRY ARGUMENTS
Loyd?? Problem 43: The daisy game. Tit Bits 32 (17 Jul & 7 Aug 1897) 291 & 349. (= Cyclopedia. 1914. A daisy puzzle game, pp. 85 & 350. c= MPSL2, prob. 57, pp. 40 41 & 140. c= SLAHP: The daisy game, pp. 42 & 99.) Circular version of Kayles with 13 objects. Solution uses a symmetry argument -- but the Tit Bits solution was written by Dudeney.
Dudeney. Problem 500: The cigar puzzle. Weekly Dispatch (7 Jun, 21 Jun, 5 Jul, 1903) all p. 16. (= AM, prob. 398, pp. 119, 242.) Symmetry in placement game, using cigars on a table.
Loyd. Cyclopedia. 1914. The great Columbus problem, pp. 169 & 361. (= MPSL1, prob. 65, pp. 62 & 144. = SLAHP: When men laid eggs, pp. 75 & 115.) Placing eggs on a table.
Maurice Kraitchik. La Mathématique des Jeux. Stevens, Bruxelles, 1930. Section XII, prob. 1, p. 296. (= Mathematical Recreations; Allen & Unwin, London, 1943; Problem 1, pp. 13 14.) Child plays black and white against two chess players and guarantees to win one game. [MJ cites L'Echiquier (1925) 84, 151.]
CAUTION. The 2nd edition of Math. des Jeux, 1953, is a translation of Mathematical Recreations and hence omits much of the earlier edition.
Leopold. At Ease! 1943. Chess wizardry in two minutes, pp. 105 106. Same as Kraitchik.
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