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Mathematical Solitaires & Games
by Schwartz , B. L.
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15
Solving games in combinatorial geometry requires an ability to imagine the various possibilities that are allowed. Mathematical toys made by modelling objects, shapes, colours, numbers and arrangements have been used for solitaire amusement or as part of competitive games. *Contents Solitaire games with toys: The Mayblox Problem; A solitaire game and its relation to a finite field; Triangular puzzle peg; Parity and centredness applied to the SOMA cube; Competitive games: Compound games with counters; The game of SIM; Dots and squares; An analysis of “square it”; Dots and triangles; Dots and cubes; A winning opening in reverse hex; Solitaire games: Arrows and circuits; Extension of the chain-cutting problem; The “12 + 1” false coin problem; The four-colour problem: The mathematics of map colouring; Every planar map is four colourable. 160pp. (1998) 240 × 160mm ISBN 97881 7371 1367
Pages : 160
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