Ball, W. W. Rouse (Walter William Rouse), 1850-1925 · London, Macmillan · leaf 202
t the doublesare played in due course, it is easy to see that such a set ofdominoes will form a closed circuit*. We want to determinethe number of ways in which such a line or circuit can be formed.Let us begin by considering the case of a set of 15 dominoesmarked up to double-four. Of these 15… … and accordingly are to be neglected. Omitting these from ourconsideration, the figure formed by the sides and diagonals ofthe pentagon has five even nodes, and therefore is unicursal.Any unicursal route (ex. gr. 0-1, 1-3, 3-0, 0-2, 2-3, 3-4, 4-1,1-2, 2-4, 4-0) gives one way of arranging these 10…
Mathematical recreations · Geometry · Astrology · Space and time · Matter · Magic squares
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