Wheels, Life, and Other Mathematical Amusements

By Martin Gardner

Gathers mathematical puzzles, difficulties, video games, and anecdotes approximately mathematical and medical discoveries.

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1jst~r). ,Dover, 1936, pages 28-32. TICKTACKTOE-LIKE video games "On Regularity and Positional video games. " A. W. Hales and R. I. Jewett. Tramactions of the yankee Mathematical Society, Vol. 106, 1963, pages 222-229. the idea of playing and Statistical common sense. Richard A. Epstein. educational Press, 1967, pages 359-363. "The video game of Noughts and Crosses. " Fred Schuh within the grasp ebook of Mathematical Recreations, Dover, 1968, bankruptcy three. Your stream. David L. Silverman. McGraw-Hill, 1971, pages 69-78. "The answer of an easy video game. " Daniel I. A. Cohen. arithmetic journal, Vol. forty five, September-October 1972, pages 2 13-2 sixteen. the hot components of arithmetic. Charles Peirce. Edited through Carolyn Eisele. Humanities Press, 1976, Vol. 2, pages 11-24. "Lines and Squares. " Elwyn Berlekamp, John Conway, and Richard man in profitable methods, educational Press, 1982, Vol. 2, bankruptcy 22. "Variations on a video game. " J. Beck and L. Csirmaz. magazine of Combinatorial conception, sequence A, Vol. 33, November 1982, pages 297-315. cross and Go-moku. Edward Lasker. Dover, 1960. (Reprint of a 1934 ebook. ) "Experiments with a studying part in a Go-moku taking part in application. " E. W. Elcock and A. M. Murray in computing device Intelligence I, edited by means of N. L. Collins and D. Michie. Oliver and Boyd, 1967. "Automatic Description and popularity of Board styles in Gomoku. " A. M. Murray and E. W. Elcock in desktop Intelligence II, edited by means of Ella Dale and D. Michie. Oliver and Boyd, 1968. "Renju. " David Pritchard. video games and Puzzles, No. seventy six, Spring 1980, pages 26-28. computing device programming: "Computer concepts for the sport of Cubic. " W. G. Daly. M. S. thesis, MIT, 1961. "The suggestion of approach and Its purposes to 3 Dimensional Tic-Tac-Toe. " R. L. Citrenbaum. platforms learn heart, file SRC-72-A-65-26. Case Institute of expertise, 1965. "Efficient Representations of optimum approach for a category of video games. " R. L. Citrenbaum. platforms examine middle, record SRC-69-5. Case Western Reserve college, 1969. "Strategic development new release: an answer method for a category of video games. " R. L. Citrenbaum. platforms improvement company, file SP-3505, Santa Monica, California, 1970. "Machine studying of video games. " Ranan B. Banerji. pcs and Automation, November 1970, December 1970. "Qubic: four x four x four Tic-Tac-Toe. " Owen Patashnik. arithmetic journal, Vol. fifty three, September 1980, pages 202-216. PLAITING POLYHEDRONS In Plato's discussion Phaedo, Socrates tells a narrative in \\. hich the earth, seen from outer area, seems "many-colored just like the balls which are made from 12 items of leather-based. " Historians take this to intend that the Greeks made balls by way of sewing jointly 12 leather-based pentagons stained with assorted colours and stuffing the inner to make the skin round. inflexible pentagons which are ordinary and exact urould in fact make a customary dodecahedron, one of many 5 Platonic solids. There are every kind of tools for developing the 5 standard convex solids out of flat items of heavy paper or cardboard, and plenty of difficulties were proposed approximately \\rays of coloring their faces. T h e concept of weaving or braiding a customary reliable from strips of paper turns out to were explored first through an English healthcare professional, John Gorham, who released in London in 1888 a now infrequent publication approximately it: A process for the development of Plaited Ctystal types at the Tjpe of the Ordinaq Plait.

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